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
kaheart [24]
4 years ago
10

The area of a triangular block is 64 square inches. If the base of the triangle is twice the height, how long are the base and h

eight of the triangle?
Mathematics
2 answers:
forsale [732]4 years ago
5 0
X=long of the base
y=long of ht height.

Area (triangle)=(b*h)/2

we suggest this system equations:
xy/2=64
x=2y
we solve this system by substitution method:
(2y)y/2=64
y²=64
y=⁺₋√64
Then, we have two solutions:
y₁=-8; invalid solution
y₂=8;    ⇒x=2y=2*8=16:

solution: 
base=16 in
height=8 in
kkurt [141]4 years ago
4 0

Answer:

Area of the triangle(A) is given by:

A = \frac{1}{2}bh             ....[1]

where,

b is the base and h is the height of the triangle.

As per the statement:

The area of a triangular block is 64 square inches.

⇒A= 64 in^2

It is given that:  If the base of the triangle is twice the height

⇒b = 2h          .....[2]

Substitute these in [1] we have;

64 = \frac{1}{2} \cdot (2h) \cdot h

⇒64 = h^2

or

h^2 = 64

⇒h = \sqrt{64} = 8 inches.

Substitute h =8 in [2] we have;

b = 2(8) = 16 in.

therefore, the base and height of the triangle are:  16 inches and 8 inches.

You might be interested in
Find the ratio for cos x.
ivolga24 [154]

Answer: cos (4/5)

Step-by-step explanation:

Cosine is Adjacent over Hypotenuse

Which 8/10, then simplified to 4/5 by dividing by 2

Hope it helps!

7 0
3 years ago
Use the Daily Compounding chart in your book to answer the following question. Alana Geltner deposited $2,250 in a savings accou
timama [110]

Answer:

$2,369,136.10

Step-by-step explanation:

she earned $2,369,136.10 in interest after 130 days

7 0
3 years ago
5 cats each ate 1/4 cup of cat food. Four other cats each ate 1/3 cup of cat food. How much did the nine cats eat?
serg [7]

<u>ANSWER</u>

Number of cups consumed by five cats

=5\times \frac{1}{4}


= \frac{5}{4} cups.


Number of cups consumed by four cats

=4\times \frac{1}{3}


= \frac{4}{3} cups.


Number of cups consumed by all nine cats

=\frac{5}{4} + \frac{4}{3}

The LCM is 12. So we collect LCM to get;


= \frac{5\times 3+4\times4}{12}


= \frac{15+16}{12}


= \frac{31}{12}


=2 \frac{7}{12} cups









5 0
3 years ago
Read 2 more answers
Whats The CORRECT answer ?
KiRa [710]

Answer:

(B) 25%

Step-by-step explanation:

40 - 30 = 10

A $10 markdown rate was placed on the trousers.

10/40 = 1/4

That means a 1/4, or 0.25 (25%), markdown rate was placed on the trousers.

Hope it helps (●'◡'●)

6 0
3 years ago
Describe the transformation.
Lesechka [4]

Answer:

g(x) = 1/3 (x - 12) .. vertical compression with factor 1/3 from f(x-4)

Step-by-step explanation:

*f(x) = x - 8  ... horizontal translation right 8 units from parent function f(x)=x

f(x-4) = (x-4) - 8 = x - 12 .... horizontal translation right 4 units from f(x)=x-8

g(x) = 1/3 (x - 12) .. vertical compression with factor 1/3 from f(x-4)

4 0
3 years ago
Other questions:
  • The question is above please help
    10·1 answer
  • 6d 1 = 15-d I really don't understand thisssss and my teacher won't help
    12·1 answer
  • A red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. A
    13·1 answer
  • What is f(3)=5 and f(4)=10
    9·1 answer
  • What is 3(4u-2)-2(u+2) ?
    12·2 answers
  • What is the answer to -7-6y=13what
    10·1 answer
  • 2x -4y + 3x+2y = please help solve
    10·2 answers
  • Walmart pays $2.50 for a 30 pack of individual chips. They markup the chips by 319%? How much is the 30 pack of chips at Walmart
    14·2 answers
  • Find the measure Of
    12·1 answer
  • 1= 1/4c what is c ? pls help i could not figure this one out haha
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!