Using the tangent-secant theorem,
\(15^2=9(x+9) \\ \\ 225=9(x+9) \\ \\ 25=x+9 \\ \\ x=\boxed{16}\)
Help please image is uploaded view please.
Answer:
23
Step-by-step explanation:
we are given that angle NRQ is 78 degrees
we can see from the figure that the sum of the given angles is angle NRQ
so
(8x + 7) + (4x - 1) = 78
12x + 6 = 78
12x = 72
x = 6
Now, we have to find angle PRQ
replacing x with 6 in the equation of angle PRQ
PRQ = 4(6) - 1
PRQ = 23
Find the value of x.
A. 30
B. 60
C. 90
D. 120
Some one else didn’t add a picture
QUESTION:- Find the value of x.
A. 30
B. 60
C. 90
D. 120
ANSWER:-
ALL ANGLE SUMS HAVE SAME LOGIC OF STRAIGHT LINE ANGLES = 180°
\(y + x + y - x = 180\)
\(2y = 180 \\ y = 90\)
\(2x + y + x = 180\)
\(3x + 90 = 180 \\ 3x = 90 \\ x = 30 \degree\)
Answer:
30 degrees
Step-by-step explanation:
2x + y + x = 180
y + x + y - x = 180
3x + y = 180
2y = 180
y = 90
3x + 90 = 180
3x = 90
x = 30
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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Which of the following graphs shows a pair of lines that represent the equations with a solution (−5, 2)? (PLEASE HELP ASAP, DUE TODAY)
Using a system of equations, it is found that the third graph shows a pair of lines that represent the equations with a solution (−5, 2).
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The solution of the system on a graph is the intersection of two lines. The third graph has an intersection at (-5,2), hence it is the answer to this question.
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solve for 8v = 3v + 25
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
The NEC permits 20% of the cross sectional area in a wireway to be occupied by conductors.for an 8"×8"×6' long wireway the conductors can occupy. In squared?
Answer:
Step-by-step explanation:
Sjaoa
The required cross-sectional area in a wireway is 12.8 In squared.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given an 8"×8"×6' long wireway the conductors can occupy.
Since the NEC permits 20% of the cross-sectional area in a wireway to be occupied by conductors
So the required cross-sectional area in a wireway is
⇒ 20 % of ( 8"×8" )
⇒ 0.20 × (64 )
⇒ 12.8 In squared
Thus, the required cross-sectional area in a wireway is 12.8 In squared.
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Southside High School found that 80% of last year's sold-out plays occurred
during weekend performances. Based on this information, the drama teacher
decided to add another performance time on Saturday. This decision is a
result of
OA. describing data
OB. making an inference
OC. creating involvement
D. collecting data
Answer:
B. making an inference.
Step-by-step explanation:
The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.
The area for the trapezoid is in2.
Answer:
1204
Step-by-step explanation:
NO SPAMS
Laptop screen sizes are determined by the length of the diagonal portion of the screen, rounded to the nearest whole number. A laptop screen has a 10 inch width and the height measures 8 inches. Calculate the screen size.
Group of answer choices
12.8 inches
9 inches
6 inches
14 inches
Step-by-step explanation:
Assuming the laptop's screen has 90° angles, you would use the pythagorean theorem.
1. X^2= A^2+B^2
2. X^2= 8^2+10^2
3. X^2= 164
4. X=Square root of 164
5. X=12.8
I am a bit confused because it says rounded to the nearest whole number so 13?
I would just put 12.8 tho
FIRST PERSON TO ANSWER WILL BE MARKED BRAINLEST
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answer:
Its B
stuff:
ITS BBBBBBBBBBBBBBBBBBBB
Answer:
B
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch.
(1 point) help me pls D;
please D:
b equal for the top of the bookcase to have the correct area= 5 cm2
What is surface area?A solid object's surface area is a measurement of the total area that the surface of the object takes up.
The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.
A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.
This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.
Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.
L × b = 300
b = 300 / L
b = 300 / 60 = 5
Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.
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Divide.
3 15/16 ÷ 2 1/4
pls i will give 25 points
Step-by-step explanation:
here is your answer and marking me as brainlist
thank you
Answer 53/36
Step-by-step explanation:
If you want it in exact form it's 53/36
If you want it in mixed number form it's 1 17/36
If you want it in decimal form it's 1.472
can someone please help me with this math problem please fast
Add 2/7 + 3/7?
\(2 \7 + 3 \7\)
Find the greatest common factor of 10b³ and 4b.
Solution:
2b would be the greatest common factor (GCF) between both 10b^3 and 4b.
Hope this helps!
A company has 3.12 × 108 dollars to spend on salaries for its employees. The company has 6.5 × 103 employees. Each employee earns the same amount. How much does each employee earn?
A.
4.8 × 104 dollars
B.
2.028 × 1012 dollars
C.
2.028 × 1010 dollars
D.
4.8 × 106 dollars
Answer:
its b
Step-by-step explanation:
the following pair of triangles are similar. find the value of x 10 x x+2 x+14
The numerical value of x in the similar pair of triangle is 10.
What is the numerical value of x?A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
From the diagram,
Side A of the small triangle = 10
Side B of the small triangle = x + 2
Side A of the Big triangle = 10 + x
Side B of the big triangle = x + 14
Hence;
Ratio of Side A to Side B of the small triangle = 10 / x + 2
Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14
Since the triangle area similar, equate the two ratio and solve for x.
10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )
Cross multiply
10( x + 14 ) = ( 10 + x )( x + 2 )
Expand using FOIL method
10x + 140 = 10x + 20 + x² + 2x
10x + 140 = x² + 12x + 20
x² + 12x + 20 = 10x + 140
x² + 12x + 20 - 10x - 140 = 0
x² + 2x - 120 = 0
Factor the left side of the equation
( x - 10 )( x + 12 ) = 0
Hence;
x - 10 = 0 and x + 12 = 0
x = 10 and x = -12
Since the dimension of the triangle cannot be negative,
x = 10
Therefore, the value of x is 10.
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which angle pairs in the diagram are supplementary angles? Check all that apply.
Answer: 1 & 4 4&5 6&7
Step-by-step explanation:
What is an example of a compound event??
Answer: Flipping a coin, or drawing a card suit (spades, hearts, clubs, or diamonds), either of those works.
Step-by-step explanation: A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.
Please help me with these questions
Answer:
Step-by-step explanation: you sjxhbtdtbd
For the graduation pizza party, there are 3 cheese pizzas ordered for every 2 vegetable
pizzas. If there are 75 pizzas ordered total. How many cheese pizzas were ordered in total?
Answer:
45
Step-by-step explanation:
75/5=15, 15x3=45.
what is equivalent to 7w +7w
Answer:
14w
Step-by-step explanation:
Hope this helps
A flagpole Casts a shadow that is 60 feet long. At the same time, a woman standing nearby who is 5'6" tall cast a shadow that is 4 feet long. Give to possible proportions that could be used to solve for the height of the flagpole. DO NOT SOLVE.
The diagram illustrating the given scenario is shown below
The height of the flagpole is represented by h. We can see that the figures are similar. Thus, the possible proportions that could be used to solve for the height of the flagpole is
h/60 = 5'6''/4'
We would convert 5 feet, 6 inches to feet. Recall,
1 foot = 12 inches
then, 6 inches would be 6/12 = 0.5 foot
The height of the woman is 5 feet + 0.5 foot = 5.5 feet
Thus, the required proportion is
h/60 = 5.5/4
please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Who is climbing at a faster rate?and how much faster does that person climb per hour?
The altitude and time of both Malik and Mila are provided in function form. The rate of climb can be gotten by evaluating the slope of the functions/graphs.
To calculate the slope, we use the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Mila's Ascension:
We have the following parameters from the table:
\(\begin{gathered} (x_1,y_1)=(1,721) \\ (x_2,y_2)=(2,1442) \end{gathered}\)Hence, we can calculate the rate of climb to be:
\(\begin{gathered} m_1=\frac{1442-721}{2-1} \\ m_1=721 \end{gathered}\)Therefore, Mila ascends at 721 ft/h.
Malik's Ascension:
We have the following parameters from the graph:
\(\begin{gathered} (x_1,y_1)=(1,693) \\ (x_2,y_2)=(2,1386) \end{gathered}\)Hence, we can calculate the rate of climb to be:
\(\begin{gathered} m_2=\frac{1386-693}{2-1} \\ m_2=693 \end{gathered}\)Therefore, Malik ascends at 693 ft/h.
The difference between both ascension rates is how much faster one is going than the other. This is given to be:
\(D=m_2-m_1=721-693=28\)ANSWERS:
1) Mila is climbing at a faster rate.
2) Mila is climbing faster than Malik at a rate of 28 ft/h.
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Now answer the question:
Juan and his children went into a grocery store and he bought $4 worth of apples and
bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 6
apples and bananas altogether. Determine the number of apples, x, and the number
of bananas, y, that Juan bought.
Juan bought apples and
bananas.
Answer:
2 apples and 4 bananas
Step-by-step explanation:
Given info:
He bought $4 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 6 apples and bananas altogether.Question given:
Determine the number of apples, x, and the number of bananas, y, that Juan bought.
Solution:
Since, we know that;
apples = x
bananas = y
Cost of each apple = $1 & Cost of each banana = $ 0.50
Total = 6
The equation that represents the following information:
x + y = 6
x + 0.5y = 4
We can multiply the top equation by -1 so it becomes -x -y = 6
-x - y = 6
x + 0.5y = 4
Now, we can use elimination to cancel out the x.
-0.5y = -2
y = 4
Because y=4, x must be 2 since x+y=6. So,
x = 2 and y = 4
Which means;
Juan bought 2 apples and 4 bananas.
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