In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the nearest tenth.​

 In The Diagram Below, Triangle ABC Is Drawn With Altitude BD. If AD = 30 And AC = 36, Determine The

Answers

Answer 1

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.


Related Questions

A car salesperson sells a car for $21,000. She receives a 5.25% commission on the sale of the car.

How much did she earn on the sale?

Answers

Answer:

She earned 1102.50 from the sale.

Step-by-step explanation:

I'd say break the percentage down

5.25÷100=0.0525

21,000×0.0525=1102.5 or 1102.50

Please help me I can't figure this out.

Answers

Answer:

C. 256 square inches

Step-by-step explanation:

if each side of the cube is 8, and the height is 4 your equation would be 8x8x4=256

987600000 in the standard form (or scientific notation)

Answers

9.876 × 10^8
Hope this is what you were looking for

Answer:

The standard form of 987600000 is 9.876×10 power 8

Step-by-step explanation:

Please mark my answer as a brainliest .Please follow me ❤❤❤❤

Convert into vertex form. Give the vertex.
y = 3x² – 24x + 46

Answers

Here you go! Hope this helps!!!

Answer:

Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]

Vertex: (4, -2)

Step-by-step explanation:

Hello!

We have to complete the square, and then simplify.

Solve:[tex]y = 3x^2 - 24x + 46[/tex][tex]y = 3(x^2 - 8x) + 46[/tex]
Take the coefficient of the second term, divide it by 2, and square it.[tex]y = 3(x^2 - 8x + 16) + 46 - 3(16)[/tex]
Balance your equation by subtracting what you added. Simplify.[tex]y = 3(x - 4)^2 - 2[/tex]

The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]

The vertex is (4,-2)

Vertex form

Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1

Answers

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

3x-2 when x=3 what is the answer

Answers

Answer:

for me I think it's

Step-by-step explanation:

the answer is 7

Answer:
7

Explanation:
3 x 3 = 9
9 - 2 = 7

The ratio of girls to boys in a student basketball league is 3:4. Choose true or false for the following statement: If there are 30 girls in the league, there
would be 40 boys. *

Answers

Answer:

True. 3:4 is the same as 30:40 because they both times 10

Step-by-step explanation:

8. What is the equation in slope-intercept from of the line that passes through the points (-4,2) and (12,6)?​

Answers

The answer is the second one. Y=0.25x+3

Please help, this was due yesterday. Ill give brainliest :) the red numbers (in order from top to bottom, left to right) are 112, 116, 234, 166, 400.

Answers

I pretty sure it’s 116

4.) Aaron bought a new belt for school that was 30% off the regular price of $60. What was the

price of the belt?

A.) $18.00


B.) $42.00


C.) $60.00


D.) $78.00

Answers

A) 18

Apparently my answer has to be 20+ characters so this is filling space
the answer is A, remember to cross out answers that don’t make sense such as C and D.

What is 6% sales tax on a $12
pair of mittens?

Answers

Answer:

0.72$

Step-by-step explanation:

Help!!!! What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is
Choose...cm².

Answers

Answer:

153

Step-by-step explanation:

You need to find the area of the triangle first which is 63. The you want to find the area of the trapezoid which is 90. Then add them together.

if 5/x = 15/x+20, what is the value of x/5?​

Answers

Answer:

x =  1/2 or 0.5

Step-by-step explanation:

Brainliest Please!!

- Hermionia

Answer:

The answer is -1/2

Step-by-step explanation:

5/x = 15/x+20

5/x-15/x=20

-10/x=20

-10=20x

x= -10/20

x= -1/2

Number Eight: Simplify

Answers

Answer

dookie but

Step-by-step explanation:

dookie in my dookie x 3 =  dookie

What is the length of side AD?

Answers

It’s not 10, 11 or 14, so it’s 16

Will give brainliest. Please help.

Answers

Answer:

(-2,1)

Step-by-step explanation:

Answer:

-2/1

Step-by-step explanation:

If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is​

Answers

Answer:

770

Step-by-step explanation:

30 percent of 1100 is 330. 1100 - 330 is 770.

Answer:

770

Step-by-step explanation:

30 % of 1100 = 330. 1100 - 330 = 770.

Tom buys some shirts for $15 each. He has a coupon for $9 off the total price. If he pays $36, how many shirts, s, did he buy? Choose the correct equation to solve.
1 point

Answers

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3*15 = 45

45-9 = 36, so he has enough money

Find the sum
(-8z+4)+(8z-7)

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

(-8z+4)+(8z-7)

=-8z+4+8z-7 [-8z and +8z cut out]

=+4-7

=-3

Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal 4) 4.5 ft, 48 in., 1.3 m, 120 cm

Answers

Step-by-step explanation:

1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

0.6 in = 1.524 cm

0.031 m = 3.1 cm

0.1 ft = 3.048 cm

The order is given as;

0.031 m > 0.1 ft > 0.6 in > 1.2 cm

2) 2 lb, 891 g, 1 kg, 0.02 T

2 lb = 907.185 g

1 kg = 1000 g

0.02 T = 20000 g

The order is given as;

0.02 T >  1 kg > 2 lb > 891 g

3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal

0.4 L = 400 mL

0.7 gal = 2649.79 mL

11/4 c = 650.6177 mL

The order is given as;

0.7 gal > 11/4 c > 950ml > 0.4 L

4) 4.5 ft, 48 in., 1.3 m, 120 cm

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

4.5 ft = 137.16 cm

48 in = 121.92 cm

1.3 m = 130 cm

The order is given as;

4.5 ft > 1.3 m > 48 in > 120 cm

Original price is $16.45, markdown is 33%. The sales price is (only use numbers): $

Answers

Answer:

$11.02

Step-by-step explanation:

Consider a large population with a mean of 100 and a standard deviation of 21. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean.

Answers

Answer:

3.5

Step-by-step explanation:

Given that:

Population mean (m) = 100

Standard deviation (σ) = 21

Sample size (n) = 36

The standard error of the sampling distribution of sample mean :

Standard Error is given by:

Standard deviation / sqrt(n)

Thus,

Standard Error = 21 / sqrt(36)

Standard Error = 21 / 6

Standard Error = 3.5

Math math math math math

Answers

Answer:

140

Step-by-step explanation:

35/ 100 = 49/?

49 times 100 equals 4900

4900/35 is 140

Answer:

To find the whole, divide the part and the percent. Always but the part as the numerator and the percent as the denominator. 49/35% = 140 total apartments

Step-by-step explanation:

What is the solution of the equation: - 7 – x = 20

Answers

Step-by-step explanation:

Given

- 7 - x = 20

- x = 20 + 7

- x = 27

therefore x = - 27.

A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time t=5 ?
A) P(5)
B) P(6)−P(4)
C) P(5)/5
D) P'5

Answers

Answer:

D

Step-by-step explanation:

P prime of t indicates a rate of change

The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5

Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2


Given h(x)=5x-2, find h(5)

Answers

Answer:

h(5)=23

Step-by-step explanation:

23 is the awnser that you need.

Help plz I really need it

Answers

Answer:

translation then reflection

Step-by-step explanation:

In the first quadrant, you start at (7,4)
and move 4 units left

What point will you end on?

Answers

Answer:

7

Step-by-step explanation:

From O(7,4), when you move a point 4 units left, abscissa decreases by 4,i.e it becomes 3 and when you move a point 3 units up, ordinate increases by 3,i.e it becomes 7.

Find m ABD. Please help me.

Answers

Answer:

31x

Step-by-step explanation:

Were just looking at the top triangle because it has the points A,B, and D. now we solve for x (aka answer the equation in the parentheses). We need to get rid of the 22 so we only have x. We do that by adding it to itself so it equals 0. What we do to one side we do to the other. Now adding 22 to 9 we get 31 (put the x back).

 9x - 22

+22 +22

9x - 22 = 31x

James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?

Answers

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

[tex]I = \frac{PRT}{100} [/tex]

[tex]200 = \frac{4000 \times 5 \times T}{100} [/tex]

[tex]20000 = 20000T[/tex]

[tex]T = 1[/tex]

Given :

Principal, P = $ 4,000Rate, R = 5 %Interest Amount, I = $ 200

To Find :

Time, T = ?

Solution :

We, know that :

[tex] \underline{\boxed{\sf Interest \: amount = \dfrac{Principal \times Rate \times Time}{100}}}[/tex]

[tex] \underline{\boxed{\sf I = \dfrac{P \times R \times T}{100}}}[/tex]

By putting values, we have

[tex] \sf : \implies 200 = \dfrac{4000 \times 5 \times T}{100}[/tex]

[tex] \sf : \implies 200 \times 100 = 20000 \times T[/tex]

[tex] \sf : \implies 20000 = 20000 \times T[/tex]

[tex] \sf : \implies \cancel{\dfrac{20000}{20000}} = T[/tex]

[tex] \sf : \implies 1 = T[/tex]

[tex] \underline{\boxed{\sf T = 1 \: year}}[/tex]

It takes 1 year for him to earn $ 200 in simple interest.

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