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4 years ago

What is the sum of the measures of the interior angles formed by the boundary of this team pennant?

Mathematics

2 answers:

natulia [17]4 years ago

4 0

Answer:

180 degrees

Step-by-step explanation:

all triangles are 180 degrees

Vikentia [17]4 years ago

3 0

Answer:

should be 180 degrees since all triangles has a sum of interior angles which is 180 degree

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1/2expand the equation 1/2(3+4t-10)=

Ivanshal [37]

$\frac{1}{2} (3 + 4t - 10)$

$\frac{3}{2} + \frac{4t}{2} - \frac{10}{2}$

$(\frac{3}{2} - \frac{10}{2}) + 2t$

$\frac{ - 7}{2} + 2t$

$- 3.5 + 2t$

8 0

3 years ago

state which basic Property of addition or multiplication justifies truth of the mathematical expressions 0+7y+2=7y+2

dlinn [17]

The given equation is:

0 + 7y + 2 = 7y + 2

This equation is showing that addition of 0 leaves the expression unchanged. 0 is known as the Additive Identity this means if we add or subtract 0 from any expression, number or equation the result won't be changed.

Therefore, the equation satisfied the property of Additive Identity of Real Numbers.

8 0

3 years ago

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing

photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

$H_{0}$ :p=0.20

$H_{a}$ :p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of specimens yield before the theoretical point ( $\frac{9}{40}=0.225$ )

p is the proportion assumed under null hypothesis. (0.20)

N is the sample size (40)

Using the numbers

z= $\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } }$ =0.3953

and the P-value is then P(z)≈0.3463

4 0

3 years ago

Find the volume <br> 6ft<br> 4ft<br> 3ft<br> (i know it’s not 72)

vlada-n [284]

Answer:

$\fbox{Volume \: of \: pyramid \: = 24 ft³}$

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

$Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3}$

$\fbox{Volume \: of \: pyramid \: = 24 ft³}$

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5 0

2 years ago

Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Karolina [17]

Answer:

$\large\boxed{x=-\dfrac{2}{3}}$

Step-by-step explanation:

$8^x=\dfrac{1}{4}\\==============\\\\8=2^3\\\\\dfrac{1}{4}=\dfrac{1}{2^2}=2^{-2}\\\\===============\\\\(2^3)^x=2^{-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3x}=2^{-2}\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-\dfrac{2}{3}$

5 0

3 years ago