1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skad [1K]
2 years ago
14

ABC with altitude \overline{BD}

Mathematics
1 answer:
just olya [345]2 years ago
8 0

The length of \overline{AC} is given by the relationship between the similar triangles

ΔABD and ΔBDC.

  • \overline{AC} = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = \overline {BD}

The hypotenuse of formed right triangle = \overline {AC}

The length of AD = 8

Length of BD = 24

Whereby  ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

\displaystyle \frac{\overline{AD}}{\overline{BD}}  = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}

Which gives;

\overline{BD}^2 = \mathbf{\overline{DC} \times \overline{AD}}

Therefore;

\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}

\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}

\overline{AC} = \overline{DC} + \overline{AD}

Which gives;

\overline{AC} = 72 + 8 =\mathbf{ 80}

Learn more about similar triangles here:

brainly.com/question/4618367

You might be interested in
Help i need to finish it today And can you explain the steps so i wont need help next time or if you don’t want to its okay :)
romanna [79]

Answer:

110 feet

Step-by-step explanation:

The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)

Substitute the values:

A = 2 (5x5 + 3x5 + 3x5)

A = 2 (25 + 15 + 15)

A = 2 (25 + 15 + 15)

A = 2 (55)

A = 110

6 0
3 years ago
18+(-4)-2/5j-4/5j+5? what is the answer
Serga [27]

Answer:

19 6j/5

Step-by-step explanation:

3 0
2 years ago
The volume of a cube depends on the length of its sides. This can be written
White raven [17]

Answer:

Step-by-step explanation:

The given question is that the volume of a cube depends on the length of its sides.This can be written in function notation  as v(s). What is the best interpretation of v(3)=27.

Solution:

According to the question the volume of a cube depends on the length of its sides. According to the statement we will apply the formula of volume of a cube.

V(s)=s³

In this question we have given s=3ft.

So, we will put the value of 's' in the formula.

V(s)=s³

V(3)=3³

Multiply 3 three times to get the answer.

V(3)=3*3*3

V(3)=27 ft³

This means that the cube has a volume of 27ft³ with the length of its sides 3ft....

8 0
3 years ago
Find the sum of 1 + 3/2 + 9/4 + …, if it exists.
zmey [24]

Answer:

Option (4)

Step-by-step explanation:

Given sequence is,

1+\frac{3}{2}+\frac{9}{4}..........

We can rewrite this sequence as,

1+\frac{3}{2}+(\frac{3}{2})^2.............

There is a common ratio between the successive term and the previous term,

r = \frac{\frac{3}{2}}{1}

r = \frac{3}{2}

Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.

Since sum of infinite geometric sequence is represented by the formula,

S_{n}=\frac{a}{1-r}  , when r < 1

where 'a' = first term of the sequence

r = common ratio

Since common ratio of the given infinite series is greater than 1 which makes the series divergent.

Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.

Option (4) will be the answer.

3 0
3 years ago
30-60-90 triangle..find the value of x?
harkovskaia [24]

Answer:

A. y = 9√3

Step-by-step explanation:

The relationship of the sides of the triangles are as follows:

First leg = x

Second leg = x√3

Hypotenuse = 2x

Since we know the first leg is 9, multiply that by √3.

Therefore, y = 9√3.

5 0
2 years ago
Other questions:
  • Leah wrote 2 different fractions with the same denominator. both fractions were less than 1. can their sum equal 1? explain
    12·1 answer
  • 1,000.00 at 4.5% interest for 2 years
    6·1 answer
  • A student brings whole cherry and cheese danishes to his class for his birthday. The number of cherry danishes he brings is at l
    5·2 answers
  • Which of the following is equivalent to
    15·1 answer
  • The largest rectangular box that Renee's father can find has a base that is 28 inches by 18
    6·1 answer
  • 3
    9·1 answer
  • Vivian divides the total amount of money she has evenly between her three children. Each child receives $8.84. Let m be the tota
    9·2 answers
  • A sector with an area of \goldE{48\pi,\text{cm}^2}48πcm 2 start color #a75a05, 48, pi, start text, c, m, end text, squared, end
    12·1 answer
  • A.45<br> B.30<br> C.90<br> D.180<br> E.40<br> F.55<br> G.130<br> H.50
    13·1 answer
  • A rectangle is divided into 4 equal rows with 4 squares in each row. mark says 1 square is 1/4 of the whole rectangle. kareem sa
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!