30 In right triangle PRT, m/P = 90°, altitude PQ is drawn to hypotenuse RT. RT = 17, and
PR = 15.

Determine and state, to the nearest tenth, the length of RQ

Answers

Answer 1

Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.

What is the Cosine Ratio Formula?

The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.

Find m∠PRT in ΔPRT using the cosine ratio formula:

cos(m∠PRT) = 15/17

m∠PRT = cos^(-1)(15/17)

m∠PRT ≈ 28.07°

Find RQ in ΔPRQ using the cosine ratio formula:

cos(28.07) = RQ/15

RQ = cos(28.07) × 15

RQ ≈ 13.2

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30 In Right Triangle PRT, M/P = 90, Altitude PQ Is Drawn To Hypotenuse RT. RT = 17, AndPR = 15.Determine

Related Questions

the roof of this garden shed has a gradient of 0.35. find the height of the shed​

Answers

The height of the shed is 2.325 m

The complete question is

The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house

What is a right Triangle ?

In a Triangle when one angle is 90 degree , the triangle is called Right Triangle .

Structure of the house is a right triangle with base = 1.5m

(height of that triangle)/1.5 = 35/100

height of that triangle = 1.5*0.35 = 0.5250

Ans: greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters.

The height of the shed is 2.325 m.

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22. Solve 7x - 9 = 28+ 4(x - 1).
X=-3
X=3
x = 11
X=-11​

Answers

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

[tex]7x - 9 = 28 + 4(x - 1) \\ 7x - 9 = 28 + 4x - 4 \\ 7x - 4x = 28 - 4 + 9 \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ x = 11[/tex]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

Steps:

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

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the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one before. What is the perimeter and area of the entire shape?

Answers

The total area is 1289.41 units².

The total perimeter is 281.32 units.

What is the total area and perimeter?

The first step is to determine the side lengths of the other squares:

Length of the second square = 2/3 x 27 = 18 Length of the third square = 2/3 x18 = 12 Length of the fourth square = 2/3 x 12 = 8Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

Area of the first square = 27² = 729 Area of the second square = 18² = 324Area of the first square = 12² = 144 Area of the first square = 8² = 64Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

Perimeter of the first square = 4 x 27 = 108 unitsPerimeter of the second square = 4 x 18 = 72Perimeter of the third square = 4 x 12 = 48 Perimeter of the fourth square = 4 x 8 = 32 Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

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Answer:

PERIMETER: 584/3, AREA: 11605/9

Step-by-step explanation:

PERIMETER: The side lengths form a geometric series with a = 27, and r = 2/3. Along the bottom we see all five lengths, and those same lengths are seen along the top. The sum of these lengths is 27+18+12+8+16/3=211/3.

We can also calculate this as the sum of the geometric series:

27 (1 - (2 / 3) ^ 5)/ 1 - (2 / 3) = 27(1 - 32 / 243)/ (1 / 3) = 81 x 211/243 = 211/3

We see these lengths twice, once along the bottom and once as horizontal segments on the top. We also add the left side of 27. The vertical segments on the right must also have a total length of 27, since they cover the same ground as the left side.

The total perimeter: 2 x 211/3 + 2 x 27 = 584/3

AREA: 27^2 + 18^2 + 12^2 + 8^2 + (16/3)^2 = 11605/9

which graph shows that Cindy reads about 3/4 of the time while riding in the car?

Answers

The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.

What is Unit Rate?

Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.

Unite rate (k) = x/y.

In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.

Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.

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Nat has 2 episodes filmed for her new series. She plans
on filming 6 more episodes per month. Write a linear
equation that could represent this

Answers

2+(6m)

2 being the episode’s she has already created

6m is 6 times any number of months (m)

A money market account is a collection of stock and bonds true or false

Answers

Answer:

A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.

The answer to this question is true

A macaroni and cheese recipe calls for 2/3 of a 2 1/2 pound block of cheese. How many pounds are needed?

Answers

Answer:

4/6

Step-by-step explanation:

if the pas is a dozen brownies

1/2 of a pan is 6 2/3 of 6 would be 4/6

One marble is randomly drawn and then replaced from a jar containing two white marbles and one
black marble. A second marble is drawn. What is the probability of drawing a white and then a
black?

Answers

Answer:

1/3.

Step-by-step explanation:

Prob(Drawing white marble) = 2/3

Prob(Drawing a black marble on second draw ) =  1/2

So:

Prob(Drawing a white then a red marble) = 2/3 * 1/2

= 2/6

= 1/3.

How to remember nagative exponents how to solve nagative exponents​

Answers

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

How are negative exponent calculated?

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

[tex]a^{-n} = \frac{1}{a^{n} }[/tex]

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]

Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]

= 9

Here, 9 is the answer of the above example.

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Which statements are true?

Select each correct answer.


All rhombuses are rectangles.


All parallelograms are quadrilaterals.


All rectangles are squares.


All squares are rhombuses.

Answers

Answer:

OTHER ANSWER IS WRONG

Step-by-step explanation:

B. All parallelograms are quadrilaterals.

D. All squares are rhombuses.

20.
30a³-26a² - 36a + 8
(10a - 2)

i have to divide

Answers

Answer:

112.8

Step-by-step explanation:

Hope this help!!

Simplify: -4x542x5
Enter the original expression if it cannot be
simplified.
Enter the correct answer.
000
008
Clear all
+?
DONE

Answers

multiply left to right:


-4 x 542 = -2,168

-2,168 x 5 = -10,840


answer: -10,840

The simplified expression is -4x^(547).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify -4x^(542)x^5.

You can use the property of exponents that states that when you multiply two terms with the same base, you add their exponents.

So,

-4x^(542)x^5

= -4x^(542+5)

= -4x^(547)

Thus,

The simplified expression is -4x^(547).

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If α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2, then the value of

1. α²+β²
2. 1/α+1/β​

Can Someone Answer This Quick Thank You<3​

Answers

Answer:

1. α²+β² = 25/36

2. 1/α+1/β​ = 1/2

Step-by-step explanation:

Formula :

Consider the quadratic equation ax² + bx + c = 0

Where x₁ and x₂ are the zeros of the equation.

Then

[tex]x_{1}+x_{2}=-\frac{b}{a} \\x_{1}\times x_{2}=\frac{c}{a}[/tex]

……………………………………

α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2

Then

[tex]\alpha +\beta =-\frac{1}{6}[/tex]

[tex]\alpha \times \beta =-\frac{1}{3}[/tex]

……………………

[tex]\alpha^{2} +\beta^{2} =\left( \alpha +\beta \right)^{2} -2\alpha \beta[/tex]

            [tex]=\alpha^{2} +\beta^{2} =\left( -\frac{1}{6} \right)^{2} -2\times(-\frac{1}{3} )[/tex]

            [tex]=\frac{25}{36}[/tex]

………………………………

[tex]\frac{1}{\alpha } +\frac{1}{\beta } =\frac{\alpha +\beta }{\alpha \beta }[/tex]

          [tex]=\frac{-\frac{1}{6} }{-\frac{1}{3} } =\frac{1}{2}[/tex]

A navigator marks three locations on a satellite map as shown. If the distance from Serravalle to San Marino is 982 miles, and the distance from Chiesanuova to San Marino is 833 miles, then how far is Chiesanuova from Serravalle?

In a satellite map of San Marino, Serravalle, and Chiesanuova in which navigation of three locations in the obtuse angle of  San Marino 113.23 degrees, three points are located inside the yellow mark border

A.
2,300 miles
B.
1,518 miles
C.
1,233 miles
D.
1,052 miles
E.
998 miles

Answers

B 1518 is answer
Hope it helps u !

Answer:

1518 miles

Step-by-step explanation:

A 5-course banquet has 3 options for each course.
The number of possible 5-course meals is m.
Find the value of m.

Answers

Total courses =5

Each course has 3 options

5 courses has

5(3)15choices

Hence

m=15

Answer: m = 15

Explanation:

Each (1 course) has 3 options

By multiplication,

5 courses shall have: (5 × 3) = 15 choices

By addition,

Sum of choices for 5 courses: (5 + 5 + 5) = 15 choices

please help... Find the volume of pyramid that has a square base. ​

Answers

Answer:

V = 324 cm³

Step-by-step explanation:

the volume (V) of the pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )

here A = 9² = 81 cm² and h = 12 , then

V = [tex]\frac{1}{3}[/tex] × 81 × 12 = 27 × 12 = 324 cm³

There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

Answer:

What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.

If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.

What is 2 over 7 is greater than 4 over 12

Answers

The value 2 / 7 is greater than 4 / 12 is  - 1 / 21

How to perform subtraction in algebra?

To know the value 2/7 is greater by 4 / 12, we have to subtract 4 / 12 from 2 / 7 .

Therefore,

2 /  7  - 4 / 12 = 24 - 28/84

Therefore,

24 - 28/84  = - 4/ 84 = - 1 / 21

Therefore, it is greater by - 1 / 21

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PLEASE ANSWER THIS QUESTION! BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!BRAINLIEST!

Answers

Answer:

20cm²

Step-by-step explanation:

We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.

100cm³/5cm = 20cm²

The area of the shaded face is 20cm².

20cm²

Step-by-step explanation:

We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.

100cm³/5cm = 20cm²

The area of the shaded face is 20cm².

Bryannasalaz

given f (x) = -4x + 4, solve for x when f (x) = 0

Answers

Answer:

x = 1

Step-by-step explanation:

Given:

f(x) = -4x + 4f(x) = 0

We are asked to solve for x when the function is equal to zero.

We should have: 0 = -4x + 4

Solve

1. Subtract 4 from both sides

0 - 4 = -4x + 4 - 4

-4 = -4x

2. Divide both sides by -4

-4 ÷ -4 = -4x ÷ 4

1 = x

anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students will be selected, and they will alternate attending the school board meetings. all five students are equally well qualified, so the school superintendent decides to draw names at random. what is the probability he will choose debbie and esther as the two representatives? enter your answer as a fraction in simplest terms.

Answers

Probability that he will choose debbie and esther as the two representatives is 1/20 .

What is the meaning of Probability ?

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

probability he will choose debbie and esther as the two representatives = ?

Probability of chosing debbie is 1/5

Probability of choosing Esther is also 1/5

Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .

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so techinichly not a question from school but I'm having trouble mathing out a personal question so I'm reading a thing where a guy spends 10000 years in another dimmention and 30 years pass on earth and I'm wondering how many days pass in the other dimension in one earth day ​

Answers

Answer:

uh it depends on the book or movie your watching in interstellar on one f the planets 1 minute was like a year on earth I’m not sure if time is different on the moon from the earth

Step-by-step explanation:

Answer: lwugga bird gang

Step-by-step explanation:

MATH!!! 15 points;)) find the surface area of the pyramid
please answer correctly & check your work...

Answers

Answer:

20ft²

Step-by-step explanation:

find the solution to x^2 = 24

please answer asap!!!

Answers

Answer:

[tex]C) ~x = \pm 2\sqrt 6[/tex]

Step-by-step explanation:

[tex]~~~~~~x^2 = 24\\\\\implies x = \pm\sqrt{24}\\\\\implies x = \pm\sqrt{4 \times 6}\\ \\\implies x = \pm 2\sqrt 6[/tex]

Answer:

C

Step-by-step explanation:

x² = 24 ( take square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] ) = ± 2[tex]\sqrt{6}[/tex]

what is the measure of angle f

Answers

Answer:

What is the context, at least give a figure

Can anyone help solve this inequality (ps, also make sure to read the bottom)

Answers

Make the shape into two polygons. A rectangle and a triangle.
Find the area of the rectangle by multiplying lxw.
14x18=252
Then find the area of the triangle
A=l x w/2
20-14=6
18-11=7
6 x 7 = 42
42/2=21
252+21=273
273/5 is about 54
He can fit 54 chickens.

Which expression is equivalent

Answers

Answer:

Option D

Step-by-step explanation:

All the parameters in the brackets will be raised to the power of 4.This means

[tex]( {4}^{4} \times ( {h}^{7} ) ^{4} \times ({k}^{2} ) ^{4} [/tex]

[tex] = 256 \times {h}^{28} \times {k}^{8} [/tex]

[tex] = 256 {h}^{28} {k}^{8} [/tex]

In a computer game, you can win, draw or lose.

Kiran plays two games against Afua.

The probability that Kiran will win any game against Afua is 0.6.

The probability that Kiran will draw any game against Afua is 0.3.

Work out the probability that Kiran will win at least one game.

thanks

Answers

Answer:

0.3??? sorry I'm just as confused

Angle C and angle D are vertical angles. Angle C is 36 degrees. What is the measure of angle D?

Answers

Answer:

Angle D is 36 Degree!

Step-by-step explanation:

In vertical angle theorem, it stated that if two angles are vertical, then they are congruent to each other.

Answer:

d=144°

Step-by-step explanation:

Vertical angles add up to 180

c+d=180

36+d=180

d=180-36

d=144°

What is the hardest math eqaution you can find that is impossible but is not super long and is typeable? (Giving 100 points)

Answers

Solve It... Brainlist Too Pls For I Can Get To Next Level

I Have Stumbled Across This, Lol

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