The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 31 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.

Answer:

b = 11

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

We are given a right triangle. We can use PT to solve the missing side.

Step 2: Define

leg a = 60

hypotenuse c = 61

leg b = ?

Step 3: Find leg b

Answer:

complete the square

Step-by-step explanation:

x^2 - 10x + 26 = x^2 - 10x + 25 - 25 + 26

= (x - 5)^2 +1

Answer:

It’s (3p, 3p + 4).

Step-by-step explanation:

Substitute the x in the equation (x + 4) with its value, 3p, for the y value—(3p, 3p + 4).

Answer:

....................

Answer:X=3

Step-by-step explanation:

Please give me brainlest

Step-by-step explanation:

yearly interest would be $325

monthly interest is $27.08

Can i have brainliest please

Answer:

1. 15%

2. 85%

Step-by-step explanation:

The graph is 100 units,

the shaded part is 15 units,

so it is 15%,

if it is 15% than the unshaded part is 85%.

Answer:

432

Step-by-step explanation:

P.E.M.D.A.S

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction.

That is the order you must do things in when your working with Orders of operation. So we add 4+2 first giving us 6. Then do the exponent 6₃ witch gives us 216. After take 216, and multiply it by 2. That gives us 432. Then do 24 ÷ √16 witch gives us 6. Then subtract 6 from 432. After you subtract add the 6 from the parentheses equation, and you end back up with 432.

Hope this helps :)

Answer:

10

Step-by-step explanation:

Find the slope:

[tex]\frac{4--2}{3--5} =\frac{6}{8} \\[/tex]

-6² + -8² = x²

36 + 64 = x²

√100 = x

Answer: I think this is it.

(3,-2)

Given :

Angle of elevation, Ф = 24°.

Distance of Sam from launchpad, D = 5 miles.

To Find :

How high is the rocket.

Solution :

Let, height is h.

We know, tan Ф is given by :

[tex]tan \ \phi=\dfrac{h}{d}\\\\tan \ 24^{\circ}=\dfrac{h}{5}\\\\h = 5\times tan \ 24^{\circ}\\\\h = 2.226 \ miles[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

Answer:

Angle 1 = above the second parallel line on the left

Angle 2 = below the first parallel line on the right

Angle 3 = below the second parallel line on the right

Angle 4 = above the first parallel line on the left

Angle 5 = above the second parallel line on the right

Angle 6 = below the second parallel line on the left

Angle 7 = above the first parallel line on the right

Angle 8 = below the first parallel line on the left

Step-by-step explanation:

Answer:

Ooh man, this was back in geometry I think, I think the answer is 4 if my calculations are correct.

i think the bigger side is twice the size of the smaller side, so 2 times 8 is 16,

16 = 5x - 4

x = 4

Answer:

ANGLE 1 = 40°

Step-by-step explanation:

angle 1 = angle 2 ------(alternate interior angles)

2x + 20 = 3x + 10

20 - 10 = 3x - 2x

x = 10.

Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.

HOPE IT HELPS!!!

Answer: The walrus ate 48 quarts of ice cream

Step-by-step explanation: To convert 12 gallons into quarts, we need to start with a conversion factor for gallons and quarts.

Conversion factor ⇒ 1 gallon = 4 quarts

If we want find out how many quarts of ice cream the walrus ate, we can simply multiply the number of quarts in a gallon which is 4 by the number of gallons we have which is 12.

12 × 4 = 48

Therefore, 12 gallons of ice cream is equivalent to 48 quarts of ice cream.

Answer:Sam had to save $15 for 11 weeks

Step-by-step explanation:

$45+$15w=$210

Subtract $45 on both sides:

$45-$45+$15w=$210

$15w=$165

Divide 15 on both sides:

15/15w=165/15

w=11 weeks

Answer:

6.4

Step-by-step explanation:

This is because 20% of 32 is 6.4.

Answer:

34

Step-by-step explanation:

Jasmine cell phone company charges $35 a month for phone service

They also charge $0.50 for each text message

Her bill was $52

Therefore the number of text messages sent can be calculated as follows

Let x represent the number of messages sent

35 + 0.5x= 52

0.5x= 52-35

0.5x= 17

x= 17/0.5

= 34

Hence 34 text messages were sent

Answer:

-8x-6 or -8x+-6.

Step-by-step explanation:

Answer:

-10f-6

Step-by-step explanation:

Answer:

50⁰

Step-by-step explanation:

the 2 triangles are congruent, meaning the angles equal the same. angles B and S are the same, angles A and R are the same, and angles Q and C are the same (congruent)

Answer:

y=2

Step-by-step explanation:

Answer: 50/50 :/

Step-by-step explanation:

Answer:

21 strawberries and 10 smoothies

Step-by-step explanation:

when you divide 28 by 4 you get 7 which is how many strawberries you need for one smoothie. you can now use 7 as a scale factor for the rest of the problem.

Answer:

he the first answer in the strawberry column is 21 and the question in the smoothie box is 10

Step-by-step explanation:

First you divide 28 by 4 (7). You times 7 with 3 (21) thats the first answer

The second you divide 70 with 7 (10 easy math lol) and thats your other answer

Answer:

98

Step-by-step explanation:

P(x) = 50 + 12x

P(4) = 50 + 12(4) = 50 + 48 = 98

Answer:

Her mistake was to change the inequality sign from ≥ to ≤.

The sign only changes when you multiply or divide both sides of an inequality by a negative number.

The error made by Rachael was about inequality sign i.e., in place of ≤ , ≥ should be there.

It is given that Racheal multiplied each side of x ≥ 2 by 3 and the result was 3x ≤ 6.

We have to find out that what error does she made.

What do you mean by inequalities ?

Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.

As per the question ;

Racheal multiplied each side of x ≥ 2 by 3.

Let's check this by multiplying x ≥ 2 by 3.

3 × x ≥ 2 × 3

3x ≥ 6

So ;  her mistake was to change the inequality sign from ≥ to ≤. The sign only changes when you multiply or divide both sides of an inequality by a negative number.

Thus , the error made by Rachael was about inequality sign i.e., in place of ≤ , ≥ should be there.

To learn more about inequalities click here ;

https://brainly.com/question/26675057

#SPJ2

Answer:

1. 70

2. 110

Step-by-step explanation:

A/Q

AC=BC+AB

Put the given values to find value of x

→5x=12+3x+2

→5x-3x=14

→2x=14

→x=14/2

→x=7✓

As given AC=5x

.°. AC=5×7

AC=35✓

Answer:

1) y=-x+4 2) y=-2.5x+5 3) y=0.5x+6 4) y=-x-4 5) y=-.25x+2 6) y=1.5x-6 7) y=-.625x-8 (8) y=7.5 (9) y=2x+4 (10) y=0.6x+5

Step-by-step explanation:

Answer:

h=-3

Step-by-step explanation:

Combine like terms ( -2.5h )

1.8=-2.5h-5.7

Add 5.7 to 1.8 ( 7.5 )

Bring down -2.5h

the divide ( 7.5/-2.5 )

h= -3

Answer:

The answer isssss h=-3

Answer:

69,020 seats

Step-by-step explanation:

36% = 0.36

0.36*50,750 = 18,270

18,270 + 50,750 = 69,020

nice same here but im NOT mingling with you

Answer:

mmmmmm points

Step-by-step explanation: