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3 years ago

If ZC and ZD are supplementary and mZC = 67°, find mZD

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Answer:

m∠ZD = 113°

Step-by-step explanation:

ZC and ZD are supplementary (180°)

m∠ZD = 180° - m∠ZC

m∠ZD = 180° - 67°

m∠ZD = 113°

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A cafeteria made 28.5 liters of lemonade. How many gallons of lemonade did the cafeteria make? (1 gallon is approximately 3.8 li

sergejj [24]

Answer:

7.5 gallons

Step-by-step explanation:

We know that 1 gal = 3.8 L, and we have 28.5 L. So, set up a proportion:

1 gal / 3.8 L = x gal / 28.5 L , where x is the number of gallons the cafeteria made

Cross-multiply:

1 * 28.5 = 3.8 * x

28.5 = 3.8x

Divide by 3.8:

x = 28.5 / 3.8 = 7.5 gallons

<em>~ an aesthetics lover</em>

6 0

3 years ago

A man is building a gazebo and plans to use for the floor two boards that are 8 and three fourths feet , four boards that are 1

MakcuM [25]

Answer:

The total number of feet in all the boards is 90 and 5/6 feet

Step-by-step explanation:

First, it is necessary to transform the mixed number into a fraction. This can be made following the next rule:

$a\frac{b}{c} = \frac{(a*c) + b}{c}$

So, the number 8 and three fourth feet is equal to:

$8\frac{3}{4} = \frac{(8*4) + 3}{4} = \frac{35}{3}$

That means that we two boards that are 35/3 feet. So, multiplying 2 by 35/3 we get the total feets for the first type of board. That is:

$2*\frac{35}{3} = \frac{2*35}{3} =\frac{70}{3}$

At the same way, we can calculate the total number of feet for the second and third type of board as:

Four boards that are 13 and five eighths feet:

$13\frac{5}{8} = \frac{(13*8) + 5}{8} = \frac{109}{8}$

$4*\frac{109}{8} = \frac{4*109}{8} =\frac{109}{2}$

Two boards that are 6 one half feet:

$6\frac{1}{2} = \frac{(6*2) + 1}{2} = \frac{13}{2}$

$2*\frac{13}{2} = \frac{2*13}{2} =13$

Finally, to find the total number of feet in all the boards, we need to sum the total number of feet for every type as:

$\frac{70}{3} +\frac{109}{2} +\frac{13}{1} =\frac{545}{6}$

Converting this number to a mixed number we get:

$\frac{545}{6} =90\frac{5}{6}$

Because, when we divide 545 by 6, we get 90 as a quotient, 5 is the remainder and 6 is the divisor.

3 0

3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – x = 25

oksano4ka [1.4K]

Answer:5.52 or -4. 52

Step-by-step explanation:

4 0

3 years ago

The thickness of 12 sheets of paper is 3.16mm. Find the thickness of 1 sheet

Yuri [45]

Answer:

79/300 mm

Step-by-step explanation:

We can use Ratio and Proportion to answer this question,

We know,

12 sheets of paper = 3.16mm

So,

1 = 3.16/12 mm

So, the thickness of 1 sheet of paper is => 3.16 / 12

=> 79/300

Hope it helps :)

7 0

3 years ago

Read 2 more answers

The following are 4 different shades of orange paint. The mixtures are given as ratios of yellow to red. Put in order from least

anyanavicka [17]

Answer:

D CA B

Step-by-step explanation:

4 0

2 years ago