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3 years ago

Calculate the area. 5 cm 14cm 9 cm

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

You have to use this equation the a=5, h=4 and b=9 and you should get the answer of 28

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Tell whether the triangle with the given side lengths is a right triangle. 10in., 24in., 26in.

ra1l [238]

Answer- Yes it is a right triangle.
You can use the Pythagorean Theorem.
( a^2 + b^ = c^2 ) and replace a with 10, b with 24, and c with 26 and the equation will be balanced on both sides.

(10^2 + 24^2 = 26^2)
(100 + 576 = 676 )

4 0

3 years ago

Geometric Series assistance

Levart [38]

we have been asked to find the sum of the series

$\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}$

As we know that a geometric series has a constant ratio "r" and it is defined as

$r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}$

The first term of the series is $a_1=\left(\frac{1}{3}\right)^{1-1}=1$

Geometric series sum formula is

$S_n=a_1\frac{1-r^n}{1-r}$

Plugin the values we get

$S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}$

On simplification we get

$S_5=\frac{121}{81}$

Hence the sum of the given series is $\frac{121}{81}$

5 0

2 years ago

What is the volume of the right prism?

Over [174]

B. 46 CM3 IT MAY BE

8 0

3 years ago

Trina's science club is building bluebird houses to put in the local park. For the first 1/6 dozen bird houses, Trina finds that

meriva

Answer:

4.5 foot is needed for a unit dozen bird house

Explanation:

Given Tina saw ¾ foot of wooden trim is being used for first 1/6 dozen bird houses

Therefore, we can write as,4

1/6 dozen = ¾ foot

For 1 dozen bird houses, we have to use the unitary method

1/6 dozen = ¾ foot

Therefore, 1 dozen or unit dozen = $\frac{\frac{3}{4}}{\frac{1}{6}}$

1 dozen = ¾ * 6 = $\frac{9}{2}$ foot = 4.5 foot

Therefore, 4.5 foot is needed for a unit dozen bird house

3 0

3 years ago

An angle measures 12° less than three times it’s supplement. Find the measure of the angle

Butoxors [25]

Answer:

132 degrees.

Step-by-step explanation:

Let the supplement be x and the angle be y.

x + y = 180 degrees.

y = (3x - 12) degrees.

x + 3x - 12 = 180

4x = 192

x = 48 degrees

y = 132 degrees

Hope this helped!

6 0

2 years ago