All categories

3 years ago

the side of a triangle are in the ratio of 3:8:7. if the perimeter of the triangle is 63 cm, how long is the shorter side?

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

4 0

Answer:

10.5 cm

Step-by-step explanation:

Multiply the ratios by x

3x : 8x: 7x

Add the sides together

3x+8x+7x to get the perimeter

18x = 63

Divide each side by 18

18x/18 = 63/18

x =3.5

The shorter side is 3x

3*3.5=10.5 cm

You might be interested in

Here is a sphere with radius 4 feet.What is the volume of the sphere? Express your answer in terms of pi

Allushta [10]

Answer:

volume of sphere=4/3 π4³=256/3π ft²

6 0

2 years ago

You are starting a new job as a assistant software designer for Tabby Soft. Your hourly wage is $12.00 per hour, you get time an

Ghella [55]

Answer:

$24,960

Step-by-step explanation:

1. Find daily salary (12*8 hours = 96/day)

2. find weekly salary (96*5 days = 480/week)

3. find annual salary (480*52 weeks = 24,960/year)

3 0

3 years ago

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

3 years ago

What is (-4,5) and (8,-1)

Musya8 [376]

Answer:

the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is

$y = - 0.5x + 3$

Step-by-step explanation:

1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1

y^2 is -1

y^1 is 5

x^2 is 8

x^1 is -4

-1 - 5 = -6

8 - (-4) = 12

-6/12 is -1/2 or -0.5

2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.

5= -0.5(-4) + b

5= 2 + b

3= b

6 0

3 years ago

Mrs. Kim wants to carpet her living room. She wants to place carpet over the whole room except for the tiled area by her door. H

Schach [20]

Please attach a picture

3 0

3 years ago

Read 2 more answers