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3 years ago

An angle measures 51 , what is the measure of its complement

Mathematics

1 answer:

n200080 [17]3 years ago

8 0

Answer:

complement of 51 is 39

supplement of 54 is 126

Step-by-step explanation:

Complementary angles add to 90 degrees

51 + c = 90

Subtract 51 from each side

51-51 + c = 90-51

c = 39

The complement is 31

Supplementary angles add to 180 degrees

54 + s = 180

Subtract 54 from each side

54-54 + s = 180-54

s = 126

The supplement is 126

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Is the ans i got correct?<br>the total surface area is 33.8cm² <br>

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

$A_1=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length.

Putting $a=2$ , we get

$A_1=\dfrac{\sqrt{3}}{4}(2)^2$

$A_1=\dfrac{\sqrt{3}}{4}(4)$

$A_1=\sqrt{3}$

$A_1\approx \sqrt{3}$

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

$LA=Ph$

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

$A_2=(2+2+2)5$

$A_2=(6)5$

$A_2=30$

Now, the total surface area is the sum of areas of bases and lateral surface area.

$A=2A_1+A_2$

$A=2(1.73)+30$

$A=3.46+30$

$A=33.46$

Therefore, the total surface area is 33.46 cm².

8 0

2 years ago

The parabola y=x² is shifted to the right 8 units. What is the equation to the new parabola

JulijaS [17]

The new equation is

<em>Y = (x-8)² </em>.

The other way to write it is like this: (you might not recognize it in this form)

Y = x² - 16x + 64

4 0

3 years ago

Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water

galben [10]

Answer:

a.) depth of the lake = (volume of the lake) / area of lake

= 173,693,585,360,000 / 624,305,840,400 = 278.22 feet

b.) 11 inches = 0.9167 feet

Water gained in cubic feet gained by the lake

= 624,305,840,400 $\times$ 0.9167

= 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

= 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

= 0.0033

= 0.33%

Step-by-step explanation:

i) acres to square feet : 1 acre = 43560 square feet

therefore 14,332,090 acres = 624,305,840,400 square feet

ii) 1 mile = 5280 feet

1 cubic mile = 5280 $\times$ 5280 $\times$ 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles = 173,693,585,360,000 cubic feet

a.) depth of the lake = (volume of the lake) / area of lake

= 173,693,585,360,000 / 624,305,840,400 = 278.22 feet

b.) 11 inches = 0.9167 feet

Water gained in cubic feet gained by the lake

= 624,305,840,400 $\times$ 0.9167 = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

= 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

= 0.0033

= 0.33%

7 0

3 years ago

You know only the given information about

katrin [286]

Since they are multiples if 12

The possibilities are

12, 12, 156

12,24,144

12,36,132

12,48,120

12,60,108

12,72,96

12,84,84

24,24,132

24,36,120

24,48,108

24,60,96

24,72,84

36,36,108

36,48,96

36,60,84

36,72,72

48,48,84

48,60,72

60,60,60

Hence the probability is 1/19 or 0.0526

6 0

3 years ago

The banquet offers beef and chicken meals. Chicken costs $5 and the beef costs $7. There will be 250 people at the banquet. If t

BaLLatris [955]

Answer

125 of each meal are ordered

Step-by-step explanation:

You first multiply 7 x 125, which will get you 875

Next, you multiply 5 x 125 and get 625

Add that together and you get 1500

7 0

2 years ago