The angles of a triangle have measures of 34 degrees, 71 degrees, and 75
degrees. Classify the triangle by the angle measures and by sides.
a. By angle:_____
b. By side:______

Answer:

\(\overrightarrow {AB} = (4,5,6)\)

1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F

2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F

3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T

4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F

5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F

Step-by-step explanation:

The vector AB is the vectorial difference between point A and B, that is:

\(\overrightarrow {AB} = \vec B - \vec A\)

Given that \(\vec A = (-1,-7,3)\) and \(\vec B = (3,-2,9)\), the vector AB is:

\(\overrightarrow {AB} = (3,-2,9)-(-1,-7,3)\)

\(\overrightarrow{AB} = (3-(-1),-2-(-7),9-3)\)

\(\overrightarrow {AB} = (4,5,6)\)

The vectorial equation of the line is represented by:

\(\langle x, y, z\rangle = \vec A + t \cdot \overrightarrow {AB}\)

Where \(t\) is the parametric variable, dimensionless. Given that \(\vec A = (-1,-7,3)\) and \(\overrightarrow {AB} = (4,5,6)\)

\(\langle x,y,z \rangle = \langle -1,-7,3 \rangle + t\cdot \langle 4,5,6 \rangle\)

Finally, the list of questions are now checked:

1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F

2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F

3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T

4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F

5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F

The number of people who saw a comedy and spent less than or equal to $10 at the concession stand is 108.

The first step is to determine the number of people would watched comedy.

Number of people who watched comedy = (ratio of people who watched comedy / sum of ratios) x total number of people

Sum of ratios = 2 + 9 = 11

Number of people who watched comedy = (9/11)  x 176 = 144

Number of people who saw a comedy and spent less than $100 = percentage of people who spent less than $100 x number of people who watched a comedy

Number of people who saw a comedy and spent less than $100 = (1 - 0.25) x 144

Number of people who saw a comedy and spent less than $100 = 0.75 x 144 = 108

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Answer:

i dont know sorry

Step-by-step explanation:

sorry hdhrhfjbdhehrhdve

The value of x when two chords of the circle intersect is x = 16.

The line segment connecting any two locations on a circle's circumference is referred to as the chord of the circle. It should be noted that the diameter is the circle's longest chord, which runs through its center.

The longer chord subtends a greater angle at the center of the circle if we attempt to establish a relationship between different chords and the angle subtended by them there.

The angle CED is formed by the intersection of two chords in the circle.

The measure of angle CED is given as:

Angle CED = 1/2(DC + AB)

Angle CED = 1/2(152 + 78)

Angle CED = 1/2 (230)

Angle CED = 115

Now, Angle CED is given as:

Angle CED = 7x + 3

Substituting the value we have:

115 = 7x + 3

112 = 7x

x = 16

Hence, the value of x when two chords of the circle intersect is x = 16.

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1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

275 days

Step-by-step explanation:

From August 21 to May 23, there is 275 days!

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

The freezing point of water at a pressure of one atmosphere is 0°C (32°F); that of liquid nitrogen is -209.89°C (-345.8°F).

Answer:

20

Step-by-step explanation:

Answer:

The correct answer would be C

Step-by-step explanation:

please mark brainliest

The choice which best compares the volume of the cylinders is; Choice B; The volume of cylinder B is the same as that of cylinder A.

From geometry, It can be concluded that the volume of a solid shape is the product of its cross sectional area and the height over which the area spans. On this note, since the volume of a cylinder is dependent on the radius and height of the cylinder, both cylinders have equal volumes.

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Answer:

14 months until there equal

Answer:

14 months

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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Answer:

3/4, 6/8

Step-by-step explanation:

12/4 is 3. 16/4 is 4, repeat for the other one with the number 3

Answer: 5/3

Step-by-step explanation:

When dividing a fraction by another fraction, you multiply it by the reciprocal

5/2 x 4/6 =20/12 which when simplified is 5/3

Answer:

x = 5

Explanation:

If the angle are parallel:

step 1:

21x + 7 = 22x + 2

21x - 22x = 2 -7

-x = -5

x = 5

finding upper angle, then when both lies on straight line equals to 180°

step 2:

180 = (180 - 22x - 2 ) + 21x + 7

180 = 180 - 2 + 7 - 22x + 21x

180 = -x  185

-5  =  -x

x = 5

Solution:

Note that:

Solve the equation to find the value of x.

The value of x is 5.

The value of the given expression is 1170.

Important information:

We have,

\(3\times 390\)

The number 390 can be written as \(400-10\). So,

\(3\times 400=1200\)

\(3\times 10=30\)

Now, subtract 30 from 1200.

\(1200-30=1170\)

Thus, the value of the given expression is 1170.

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The amount freedome ride charge more than Envo car in d miles is $20.05

word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.

The total charge for Enzo car =$50.50 +8¢ = $50.50 + $0.08 = $50.58

The total charge for Freedom = $70.50 + 12¢

= $70.50 + $0.12

= $70.62

therefore in d miles ;

Enzo will charge $50.58d

freedome will charge

$70.62d

therefore the amount freedome will charge more than Enzo car is $70.62 - $50.58

= $20.05

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8. This can be obtained by understanding the concepts of graph function.

Given,

h(x) = -0.017x² + 1.08x + 5.8

Put h = 24,

h(24) = -0.017(24)² + 1.08(24) + 5.8

h(24) = -9.792 + 25.92 + 5.8

h(24) = 21.93

The height of the shot put above the ground is 21.93 feet when the shot is 24 feet horizontally from the start.

Vertical intercept, x = 0

h(0) = -0.017(0)² + 1.08(0) + 5.8

h(0) = 5.8

The height of the shot put above the ground is 5.8 feet at the start.

vertex coordinates,

(h,k) = [(-b/2a),-(b²- 4ac)/4a]

(h,k) = [(-1.08/2(-0.017)),-((1.08)²- 4(-0.017)(5.8))/4(-0.017)]

(h,k) = [(1.08/0.034),(1.5608)/0.068)]

(h,k) = (31.76,22.95)

The maximum height attained by the shot is 22.95 feet when it is horizontally 31.76 feet away from the start.

Put h(x) = 0,

-0.017x² + 1.08x + 5.8 = 0

Use quadratic formula for solving x,

x = (-b±√b²- 4ac)/2a

Here a = -0.017, b=1.08, c=5.8

x = [-1.08±√1.08²- 4(-0.017)(5.8)]/(2×-0.017)

x = [-1.08±√1.5608]/-0.034

x =  [-1.08-1.2493]/-0.034 and x =  [-1.08+1.2493]/-0.034

x = 68.509 and x = - 4.98

Distance between (68.509,0) and (- 4.98,0) = √[68.509 -(- 4.98)]² + (0-0)²

                                                                        = √73.49²

                                                                        = 73.49 feet              

Hence h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8.

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Answer:

Here’s what I got.

Hope it helps.

Answer:

B = 40°

a = 32.2

c = 42.0

Step-by-step explanation:

Interior angles of a triangle sum to 180°.

\(\implies B=180^{\circ}-90^{\circ}-50^{\circ}\)

\(\implies B=40^{\circ}\)

\(\boxed{\begin{minipage}{7.6 cm}\underline{Sine Rule} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

Substitute the given values into the formula:

\(\implies \dfrac{a}{\sin 50^{\circ}}=\dfrac{27}{\sin 40^{\circ}}=\dfrac{c}{\sin 90^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 50^{\circ}}=\dfrac{27}{\sin 40^{\circ}}\)

\(\implies a=\dfrac{27\sin 50^{\circ}}{\sin 40^{\circ}}\)

\(\implies a=32.2 \;\; \sf (nearest\;tenth)\)

Solve for c:

\(\implies \dfrac{27}{\sin 40^{\circ}}=\dfrac{c}{\sin 90^{\circ}}\)

\(\implies c=\dfrac{27\sin 90^{\circ}}{\sin 40^{\circ}}\)

\(\implies c=42.0 \;\; \sf (nearest\;tenth)\)

Answer:

B = 40°

A = 32.2

C = 42.0

Step-by-step explanation:

The statement is visually compares the bivariate relationships that exist among 8 different continuous variables. The statement is false.

What is a variable?

A symbol (often a letter) used in algebra to represent an unknowable numerical value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).

Data with only one variable: The prefix uni and the word variate both denote one. This describes a situation when only one variable is looked at or discussed. For instance, as the only variable of interest, a researcher might track how long it takes people to finish a crossword puzzle.

Bi means two, as in bivariate data. Bivariate data therefore includes analysing and contrasting two distinct variables. For instance, a researcher might time how long it takes individuals to do a crossword puzzle while also gauging their stress levels. In this case, the researcher is looking at two variables: time and stress.

Thus it is impossible to visually compare the bivariate relationships.

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Teaching and learning fractions can be relatively easy or challenging depending on various factors such as the grade level of the learner, the teaching methods used, the learning environment, and the learner's prior knowledge. However, with effective teaching strategies and consistent practice, fractions can be easily taught and learned.

Here are some factors that make fractions easy or challenging to teach and learn:

1. Conceptual Understanding: Fractions are easier to learn when students have a solid conceptual understanding of the concept. They need to understand that fractions represent a part of a whole or a quantity and that fractions can be expressed as decimals or percentages. Teachers can use visual aids such as fraction circles, number lines, and charts to help students grasp the concept.

2. Age and Grade Level: Teaching and learning fractions is easier at lower grade levels when students are introduced to fractions in a concrete way, such as dividing objects into equal parts. As students progress to higher grade levels, fractions become more abstract and complex, making them more challenging to learn.

3. Instructional Methods: Effective teaching methods that make use of real-world examples, hands-on activities, and interactive learning strategies help to make fractions more accessible and understandable. Teachers can also use online resources and educational apps to support student learning.

4. Learning Environment: A positive and supportive learning environment can make a significant difference in how easily students learn fractions. Teachers can create an environment that encourages participation and risk-taking, provides opportunities for students to work collaboratively, and celebrates student success.

In summary, teaching and learning fractions can be easy or challenging depending on various factors, including conceptual understanding, age and grade level, instructional methods, and learning environment. However, with effective teaching strategies and consistent practice, fractions can be easily taught and learned.

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Answer:

We obtained the two exponential functions:

Step-by-step explanation:

As we know that the exponential function is of the form

f(x) = abˣ

Given the points

We know these points belong to the exponential function.

so substituting the values (3, 7) and (5, 63) in the function

putting (3, 7)

y = abˣ  

7 = ab³

also putting (5, 63)

y = abˣ

63 = ab⁵

Considering the 2nd equation

63 = ab⁵

as

\(a^b\times \:a^c=a^{b+c}\)

so

63 = ab³×b²  

substituting 7 = ab³ in 63 = ab³×b²  

63 = 7 × b²

b² = 63/7

b² = 9

b = ± 3

If b = 3

plug in b = 3 in the equation 7 = ab³ to find the value 'a'

7 = ab³

7 = a(3)³

7 = a × 27

a = 7/27

so, a = 7/27 and b = 3 would give us the function

y = abˣ

\(y\:=\:\frac{7}{27}\left(3\right)^x\)

if b = -3

plug in b = -3 in the equation 7 = ab³ to find the value 'a'

\(\:7\:=\:a\left(-3\right)^3\)

\(a\left(-27\right)=7\)

\(a=-\frac{7}{27}\)

so, a = -7/27 and b = -3 would give us the function

y = abˣ

\(y\:=-\:\frac{7}{27}\left(-3\right)^x\)

Thus, we obtained the two exponential functions:

The inequality which can bee represented on the number line.

B.  2|x + 1| ≤ 8

D. 2|x − 1| ≤ 10

Given, the inequalities are:

A. |2x + 1| ≥ 7

2x+1≥7 or -2x-1≥7

2x≥7-1 or -2x≥7+1

2x≥6 or -2x≥8

x≥6/2 or x≤-8/2

x≥3 or x≤-4

therefore, (-∞,-4]∪[3,∞)

hence this inequality cannot be represented on the number line.

B.  2|x + 1| ≤ 8

2x+2≤8 or -2x-2≤8

2x≤8-2 or -2x≤8+2

2x≤6 or -2x≤10

x≤3 or x≥-5

-5≤x≤3

[-5,3]

hence this inequality can be represented on the number line.

C.  |2x − 1| ≥ 9

2x-1≥9 or -2x+1≥9

2x≥9+1 or -2x≥9-1

2x≥10 or -2x≥8

x≥5 or x≤-4

(-∞,-4]∪[5,∞)

hence this inequality cannot be represented on the number line.

D. 2|x − 1| ≤ 10

2x-2≤10 or -2x+2≤10

2x≤10-2 or -2x≤10+2

2x≤8 or -2x≤12

x≤4 or x≥-6

-4≤x≤6

[-5,3]

hence this inequality can be represented on the number line.

Hence we get the required results.

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The answer is C. Mean, because Desert Landing is symmetric.

A distribution refers to the pattern of how data is spread out or distributed across different values or intervals. It is a way to describe and analyze the shape, center, and spread of a set of data.

To determine the location with the most consistent temperature, we need to measure the variability of the temperature data in both locations. The measure of variability that is appropriate for this purpose is the Mean, which measures the spread of the middle of the data.

The answer is C. Mean, because Desert Landing is symmetric. depending on the shape of the distributions. If the temperature data in Desert Landing is symmetric, then the Mean would be appropriate to measure the spread of the data. If the temperature data in Sunny Town is skewed, then the Mean would also be appropriate to measure the spread of the data. However, if the temperature data in either location is not skewed, then the range would not be an appropriate measure of variability.

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Answer:

No

Step-by-step explanation:

Theirs always multiple ways to solve something, even if their is only one way to solve it. We all think things through differently

Answer:

y=0

Step-by-step explanation:

6y+2=-2(2y-1)

Distribute

6y+2 = -4y +2

Add 4y to each side

6y+2 = -4y +2+4y

6y +2 =2

Subtract 2 from each side

6y +2-2 = 2-2

6y = 0

y=0