The temperature was -3c last night. it is now -4c. what was the change in temperature

Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b.

satela [25.4K]

Answer:

a = 60°

b = 120°

Step-by-step explanation:

First, you can find measure a by using the first shape. There are six rhombuses, and you can use the innermost a of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the a measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for b, you would divide 240 by two. The answer is 120.

To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!

7 0

3 years ago

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A 9-yard roll of string costs $3.42. What is the unit price?

Karolina [17]

Answer:

$0.38 per yard

Step-by-step explanation:

Step 1:

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

Step 2:

Convert $3.42 to cents

$1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~$

Step 3:

Find the unit price

$\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}$

$9x=342$

$\frac{9x}{9} =\frac{342}{9}$

$x=38~cents$

Convert to dollars

$x=\frac{38}{100}$

$x=0.38~per~yard$

Hence the unit price is $0.38 per yard.

5 0

2 years ago

When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba

Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

$z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25$

And

$z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}$

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

3 0

3 years ago

What is the surface area of each triangular prism?

SOVA2 [1]

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

8 0

3 years ago

Whoever gets it right ill reward brainlyess answer

irga5000 [103]

The correct answer is 5h

4 0

3 years ago

Read 2 more answers