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Kamila [148]
4 years ago
9

The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

Mathematics
1 answer:
Fantom [35]4 years ago
6 0
Angle a 3/8(160) divide 160 by and multiply by 3= 60
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You mix 1/3
Oksana_A [137]

Answer:

1 quart blue + 1 1/2 quart red

Step-by-step explanation:

Given:

Ratio of blue paint : red paint = 1/3 : 1/2

simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:

(1/3) x (3x2) : (1/2) x (3x2)

2 : 3

From this we can determine the fractions of red and blue paint used in any total purple mix

fraction of blue paint = 2/(2+3) = 2/5 of purple mix

fraction of red paint = 3/(2+3) = 3/5 of purple mix

we are given that we want to make 2 1/2  (= 5/2) quarts of purple paint

hence

amount of blue paint

= fraction of blue paint in purple mix x total amount of purple paint

= (2/5) x (5/2) = 1 quart

amount of red paint

= fraction of redpaint in purple mix x total amount of purple paint

= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart

5 0
3 years ago
Use the distributive property to multiply 7(c+4)<br> 7c+4<br>c+28 <br>7c+28
ikadub [295]

Use the distributive property to multiply 7(c+4) 

then answer is 7c+28

5 0
4 years ago
The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters. What is the approximate t
tia_tia [17]
Since the triangles make up a spinner, the triangles are isosceles.
The base is 2 cm and the perimeter is 10 cm.
The measure of the two legs can be determined from
2 + 2x = 10
Where is the length of the leg
Solving for x
x = 4
The area an isosceles is calculated using
A =  \frac{1}{2}  b^{2}   \sqrt{ \frac{ b^{2} }{ x^{2} }- \frac{1}{4}  }
where b is the length of the base
Substitute the values and multiply with the number of triangles in the spinner
4 0
3 years ago
Read 2 more answers
Use the given level of confidence and sample data to construct a confidence interval for the population proportion p.
Molodets [167]

Answer:

The 95% confidence interval for the population proportion is (0.778, 0.884).

Step-by-step explanation:

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.831.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.831*0.169}{195}}\\\\\\ \sigma_p=\sqrt{0.00072}=0.027

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.027=0.053

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sisgma_p = 0.831-0.053=0.778\\\\UL=p+z \cdot \sisgma_p = 0.831+0.053=0.884

The 95% confidence interval for the population proportion is (0.778, 0.884).

8 0
4 years ago
Quick algebra 1 question for 10 points!
Anna35 [415]

<u>Answer:</u>

h(-2) =\boxed{ \bf -111}

<u>Step-by-step explanation:</u>

The function h(x) is defined as:

h(x) = 12x^3 - 15

To calculate the value of h(-2), we have to replace the x in the definition of h(x) with -2:

h(-2) = 12(-2)^3 - 15

       ⇒ 12(-8) -15

       ⇒ -96 - 15

       ⇒ -111

       

3 0
2 years ago
Read 2 more answers
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