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
Amanda [17]
2 years ago
14

Area triangles? it says show work so pls do

Mathematics
1 answer:
coldgirl [10]2 years ago
6 0

\large{\underline{\underline{\pmb{\sf {\color {blue}{Solution:}}}}}}

Given,

Area = 225 yd²

Base = 30 yd

Height = [To be calculated]

To find:

The height of the given triangle.

We know that, area of a triangle is:

\frac{1}{2}  \times (b \times h) \\  \\  \leadsto \frac{1}{2} \times (30 \times h) \\  \\  \leadsto \frac{1}{2}   \times 30h \\  \\  \leadsto  \frac{1}{ \cancel{2}} \times  \cancel{30}h \\  \\  \leadsto1 \times 15h \\  \\  \leadsto \: h = 15 \: yd

Therefore, the require height is 15 yd.

\green\starProof:

\frac{1}{2}  \times (b \times h) \\  \\  \leadsto \frac{1}{2}  \times (30 \times 15) \\  \\  \leadsto \frac{1}{ \cancel{2}}   \times  \cancel{450} \\  \\  \leadsto1 \times 225  \\  \\  area = 225  {yd}^{2}

\boxed{ \frak \red{brainlysamurai}}

You might be interested in
Calculate:1 1/3 x 2/4
labwork [276]

Answer: 0.66666666666

Step-by-step explanation: just a calculator ez

6 0
3 years ago
Read 2 more answers
Find two numbers if their ratio is 4:7 and their difference is 123.
belka [17]

Answer:

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

-287 = y

Now we need to find x

x = 123+y

x = 123+ -287

x = -164


The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

4 0
3 years ago
Read 2 more answers
In the equation of: 9+1+1=b<br> What is b?
larisa [96]

Answer:

b= 11

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given: ABCD trapezoid, BK ⊥ AD , AB=DC AB=8, AK=4 Find: m∠A, m∠B
Elis [28]

Answer:

m\angle B=m\angle C=120^{\circ}

m\angle A=m\angle D=60^{\circ}

Step-by-step explanation:

Trapezoid ABCD is isosceles trapezoid, because AB = CD (given). In isosceles trapezoid, angles adjacent to the bases are congruent, then

  • \angle A\cong \angle D;
  • \angle B\cong \angle C.

Since BK ⊥ AD, the triangle ABK is right triangle. In this triangle,  AB = 8, AK = 4. Note that the hypotenuse AB is twice the leg AK:

AB=2AK.

If in the right triangle the hypotenuse is twice the leg, then the angle opposite to this leg is 30°, so,

m\angle ABK=30^{\circ}

Since BK ⊥ AD, then BK ⊥ BC and

m\angle KBC=90^{\circ}

Thus,

m\angle B=30^{\circ}+90^{\circ}=120^{\circ}\\ \\m\angle B=m\angle C=120^{\circ}

Now,

m\angle A=m\angle D=180^{\circ}-120^{\circ}=60^{\circ}

7 0
3 years ago
Rachel needs two tables for her birthday party. How many chairs will she need?
loris [4]

Answer: it Depends

Step-by-step explanation:

Not enough info given

3 0
3 years ago
Read 2 more answers
Other questions:
  • A researcher was interested in comparing the salaries of female and male employees of a particular company. independent random s
    7·1 answer
  • 4x-1=y graphed by using a table
    12·1 answer
  • in your own words explain the place value relationship when the same two digits are next to each other in a multi digit number
    12·1 answer
  • John is a car salesman. He earns 5.5% commission on all cars he sells. How much commission would John earn if sold a new car for
    11·2 answers
  • to the nearest square unit what is the area of a regular octagon with a side length of 15 and an apothem of 18.1
    5·1 answer
  • a spherical container with a radius of 4 ft is filled with gas that costs$12 per cubic foot what is the total value of the gas i
    12·1 answer
  • Question is in the picture
    12·2 answers
  • What is a equivalent ratio
    14·1 answer
  • (12 - 2) x (5 + 4)
    15·2 answers
  • Convert: ___minutes= 7/10 hour
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!