Find the missing side of this right
triangle.
12
x
8
Answer:
The missing side is 14.4
x=14.4
Answer:
80Step-by-step explanation:
How long will it take to triple a sum of money if it is invested at a rate of 6.25% compounded continuously? Round your answer to 2 decimal places.
Answer:
So the answer is approximately 18 years
Step-by-step explanation:
Your interest rate is 6.25%, or, 0.0625
A=P⋅(1+(r/n))^nt
Where:
P is the initial amount
r is annual rate of interest
t is number of years
A is the final amount of money
n is the number of times the interest is compounded per year
So
3P=P(1+0.0625)
3P=P (1.0625)^t
3=1.0625^t
Now we should use logarithmic functions.
ln(3)=t⋅ln(1.0625)
ln(3)ln(1.0625)=t
t=18.12 years
Laura has 3.85 pounds of bananas. She goes to the store to buy 2.75 more pounds of bananas to make banana bread. Each loaf requires 0.30 pounds of bananas. How many loaves of bread can she make?
Answer:
22
Step-by-step explanation:
3.85+2.75= 6.6
6.6÷0.30= 22
Answer:
The answer is 22 loaves of bread.
Step-by-step explanation:
You add 3.85 pounds + 2.75 pounds to get the total number of pounds she bought, which is 6.6 pounds of bananas.
Then you divide your total answer of 6.6 pounds by 0.30 pounds for each loaf, to get 22 loaves of bread.
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
There are 544 calories in eight ounces of a certain ice cream. How many calories are there in three pounds? 1
Answer:
Below
Step-by-step explanation:
Each pound has two 8 oz servings so three pounds is 6 servings
6 x 544 =3264 cal
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
What precisely is a triangle?A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.
Regarding the given diagram, the following claims are always true:
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.
m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
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The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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Bradley found a silkworm moth that
was 2 centimeters longer than average.
The equation m – 4 = 2 represents this
situation. Find the length of the
silkworm moth that Bradley found.
Answer:
its 6
Step-by-step explanation:
m-4=2
+4 +4
m=6
-1 19/50 as a decimal number, what is it?
Answer:-1.38
19/50=.38 in decimal form +(-1) = -1.38
Answer:
uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju
A painter made 28 gallons of paint using white paint, linseed oil, dryer and turpentine in the ratio of 3:2:1:1. How many gallons of each material did she use?
The painter used 12 gallons of white paint, 8 gallons of linseed oil, 4 gallons of dryer, and 4 gallons of turpentine to make 28 gallons of paint.
How solve equations?Let's assume that the quantities of white paint, linseed oil, dryer, and turpentine used in the paint are 3x, 2x, x, and x gallons respectively. Then, the total quantity of paint made by the painter is:
3x + 2x + x + x = 7x
We are given that the total quantity of paint made is 28 gallons. Therefore, we can set up the following equation:
7x = 28
Solving for x, we get:
x = 4
Substituting x = 4 in the expressions for the quantities of each material used, we get:
White paint = 3x = 3(4) = 12 gallons
Linseed oil = 2x = 2(4) = 8 gallons
Dryer = x = 4 gallons
Turpentine = x = 4 gallons
Therefore, the painter used 12 gallons of white paint, 8 gallons of linseed oil, 4 gallons of dryer, and 4 gallons of turpentine to make 28 gallons of paint.
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PLEASE HELP MEEEEE!!A cat gets stuck on the roof. If the latter is 12 feet long and must be placed 7 feet away from the building. How high can the ladder reach up the building to save the cat
Answer:
the height the ladder can reach up the building to save the cat = 13.9feet
Question:
The question didn't state the height of the building. If the ladder was initially 12feet and then it was extended to another length to reach the top of the roof, we need the height of the building to enable us calculate how high the ladder can reach up the building the save the cat.
Let's consider the following question:
A cat gets stuck on the roof. If the ladder is 12 feet long and must be placed 7 feet away from the building. How high can the ladder reach up the building to save the cat if the height of the building is 12feet.
Step-by-step explanation:
The distance between the foot of the ladder to foot of the building = 7feet
adjacent = 7feet
The height of the building = 12feet
Opposite = 12feet
The length of the ladder is unknown
To find how high can the ladder reach up the building to save the cat, we would apply Pythagoras theorem
Using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent²
Hypotenuse ² = 12² + 7²
Hypotenuse ² = 144 + 49
Hypotenuse ² = 193
Hypotenuse = √193
Hypotenuse = 13.9feet
The height of the ladder to reach up the building to save the cat = 13.9feet
Find two consecutive odd integers such that the square of the first, added to three times the second, is 24
Showing work not necessarylet x = the 1st integer
x + 2 = the second integer
x² + 3(x + 2) = 24
x² + 3x + 6 = 24
x² + 3x - 18 = 0
(x - 3)(x + 6) = 0
x = 3 and x = -6
However, since the integer must be odd, then we only select x = 3
Therefore, the two integers are 3 and 3 + 2 = 5
3² + 3(5) = 9 + 15 = 24
Two consecutive odd integers are 3 and 5 respectively
What is Integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
let x = the 1st integer
x + 2 = the second integer
x² + 3(x + 2) = 24
x² + 3x + 6 = 24
x² + 3x - 18 = 0
(x - 3)(x + 6) = 0
x = 3 and x = -6
However, because the number must be odd, we only choose x = 3.
As a result, the two integers are 3 and 3+2 = 5.
3² + 3(5) = 9
9+ 15 = 24
3 and 5 are consecutive odd integers.
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Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answer:
Step-by-step explanation:
screenshot included below
Answer:
product A
75%
67%
Product B
Step-by-step explanation:
I just found the percentage by dividing the amount of people who found relief into the whole
Hopes this helps please mark brainliest
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
Which can be represented using the product (50) × (-5) ?
O saving $5 each day for 50 days
O a submarine rising by 50 feet each hour for 5 hours
O earning $50 each month for 5 months
O an airplane losing altitude by 5 feet each second for 50 seconds
Answer: D
Step-by-step explanation:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps that Patel could he use to solve the quadratic equation include:
8(x² + 2x) = –3
8(x² + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to illustrate tye information?It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.
The equation given is:
8x² + 16x + 3 = 0
8(x² + 2x) = -3
Completing squares in the brackets and balancing the equation:
8(x² + 2x + 1) = -3 + 8
Factoring the perfect square will give 8(x + 1)² = 5.
This is illustrated in the options picked for the step.
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Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
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Item 19
Question 1
A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.
A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.
Answer:
Its 24
Step-by-step explanation:
im not sure
Select the correct answer. Which is the correct solution to the expression 3 + 5^2? You can use a calculator to find the answer. A. 10 B. 13 C. 28 D. 64
The correct solution to the expression 3 + 5^2 is C. 28.
What is an expression?Mathematically, an expression is a combination of variables with numbers, values, or constants.
Mathematical or algebraic expressions use the mathematical operands like addition (+), subtraction (-), division (÷), multiplication (×), exponents (^), etc.
An algebraic expression does not go with the equal symbol (=), unlike an equation.
3 + 5^2
= 3 + 5 x 5
= 3 + 25
= 28
Thus, an evaluation of the algebraic expression 3 + 5^2 gives the solution as Option C.
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Is - .6251327657 a rational number?
Answer:
No
Step-by-step explanation:
I dont think rational numbers can be negative. Also the values are not repeating.
Which graph represents a proportional relationship?
Answer:
the first one
Step-by-step explanation:
.....................................................................................
Answer:
the second graph. Good luck!
Step-by-step explanation:
p+20°
What is the value of p?
p=
3p
O
бр
Appreciate it a lot
Answer:
16°
Step-by-step explanation:
10p+20=180
10p=120
p=16
Find the value of x for which the lines p and q are parallel.
Answer:
D
Step-by-step explanation:
have a good day
Answer:
D) 7
Step-by-step explanation:
Since the two angles marked are corresponding, if \(p\) and \(q\) are parallel, they must be equal.
Therefore, we have:
\(14x+18=116,\\14x=98,\\x=\boxed{7}\)
Find the value of 2^5
Answer:
32
Step-by-step explanation:
2*2=4 2^2
2*2*2=8 2^3
2*2*2*2=16 2^4
2*2*2*2*2=32 2^5
I hope this helps!
A carat is equal to 200 mg 1 of the worlds most famous diamond is the hope diamond which is equal to 44.5 carats what is the weight of the hope diamond in gram
The weight of 1 carat is given to be 200 mg.
Therefore, the weight of the hope diamond that contains 44.5 carats is given to be:of
\(\Rightarrow200\times44.5=8900\text{ mg}\)We can convert mg to grams using the conversion:u
\(1000\text{ mg}\to1\text{ gram}\)Therefore, 8900 mg will be:
\(\Rightarrow\frac{8900}{1000}=8.9\text{ grams}\)The weight is 8.9 grams.
Segments that join oppsoite vertices in a quadrilateral are called what
Answer:
Diagonal, I'm 90% sure it is at least!!
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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Solve for x
-22.3=x/3 -3.1
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
help pls. it would be much appreciated
Step-by-step explanation:
By Sine rule, BC/sin93° = 11/sin42°.
Therefore BC = 16.4.