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
alisha [4.7K]
3 years ago
6

A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning

Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer: 3 in.

Step-by-step explanation:

Given

The base of the triangle is 3\frac{2}{5}\ inches

The area of the triangle is 5\frac{1}{10}\ inches^2

Solve mixed fraction

Base is

=3\dfrac{2}{5}\\\\=\dfrac{17}{5}\ in.

Area is

=5\dfrac{1}{10}\\\\=\dfrac{51}{10}\ in.^2

The area of the triangle is given by

\Rightarrow \text{Area A=}\dfrac{1}{2}\times \text{base}\times \text{height}

Insert the values to get the height

\Rightarrow \dfrac{51}{10}=\dfrac{1}{2}\times \dfrac{17}{5}\times \text{height}\\\\\Rightarrow \text{height}=3\ in.

You might be interested in
50/24= x/495<br> what does x =
vesna_86 [32]

Answer:

1031.25 =x

Step-by-step explanation:

50/24 = x /495

We can use cross products to solve

50 *495 = 24*x

24750 = 24x

Divide each side by 24

24750/24 =24x/24

1031.25 =x

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=-24%5Cleq%203x-9" id="TexFormula1" title="-24\leq 3x-9" alt="-24\leq 3x-9" align="absmiddle" c
dybincka [34]

If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:

-24 ≤ 3x - 9        First add 9 on both sides

-24 + 9 ≤ 3x - 9 + 9

-15 ≤ 3x        Then divide 3 on both sides to get "x" by itself

\frac{-15}{3} \leq \frac{3x}{3}

-5 ≤ x                  [or  x ≥ -5 if you prefer "x" to be on the left side]

8 0
3 years ago
Read 2 more answers
A number cube has the numbers 1, 2, 5, 5, 6, and 6 on its faces. Match the probability with the outcome. 1. P(5 ∪ 6) 2. P(2 ∪ 5
Tems11 [23]

Answer:

1. P(5 U 6) =2/3

2. P(2 U 5 U 6) = 5/6

3. P(1 U 2) = 1/3

4. P(4) = 0

Step-by-step explanation:

As the number cube has 6 sides,

So,

Total outcomes = {1,2,5,5,6,6}

n(S) = 6

Now,

1. P(5U6) = P(5) + P(6)

P(5)=2/6=1/3

P(6)=2/6=1/3

P(5U6)= 1/3 + 1/3 = 2/3

2. P(2 U 5 U 6) = P(2) + P(5) + P(6)

P(2)=1/6

P(5)=2/6

P(6)=2/6

P(2 U 5 U 6) = 1/6 + 2/6 + 2/6

= 5/6

3. P(1 U 2) = P(1) + P(2)

P(1) = 1/6

P(2)= 1/6

P(1 U 2) = 1/6 + 1/6

= 2/6 = 1/3

4. P(4) = 0

As 4 is not in the outcomes, it's probability will be zero ..

5 0
3 years ago
Find radius from this sentence plz
Citrus2011 [14]

Answer:

1.2 inches

Step-by-step explanation:

Area of sphere

A = 4πr²

17.6 = 4(3.14)r²

17.6 = 12.56r²

Divide both sides by 12.56

1.4012738854 = r²

Take the sqaure root of both sides

1.1837541491 = r

Rounded

r = 1.2

3 0
3 years ago
Good morning! Can any math expert help me with this thank you
Rasek [7]
The anwser is 29 !!!!!
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the benefit of dividing out greatest common factors (GCFs) before multiplying?
    15·2 answers
  • In how many ways can 3 letters out of five distinct 5 distinct letters A, B, C, D and E be arranged in a straight line so that A
    12·1 answer
  • The teacher asks Mel and Kate to use base 10 blocks to model the number that is ten times the value of 4 rods. Mel's modle uses
    14·1 answer
  • Does anyone know the answer?
    10·1 answer
  • Please help if u get these all right i will mark brainliest
    6·2 answers
  • Please I need help asap.
    8·1 answer
  • find the area of the trapezoid. if the answer is not an integer, leave it in simplest radical form. the figure is not to scale.
    5·1 answer
  • What is the base unit of measurement for capcity?
    6·2 answers
  • What is the image of (-9,-5) after a dilation by a scale factor of 5 centered at the origin?​
    6·1 answer
  • Which graph can be used to find the solution(s) to x ^ 2 - 1 = x + 1 ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!