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tatuchka [14]
2 years ago
12

Please help solve :D

Mathematics
1 answer:
OverLord2011 [107]2 years ago
8 0
Y + 64 should equal 180 degrees because they are supplementary angles.

So y = 180-64 = 116 degrees
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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
Tell why sometimes you write the percent as a fraction and other times as a decimal when you find the percent of a number.
Marysya12 [62]
A percentage is a portion out of 100, and because it is a portion of a whole it can be written as a fraction of an amount (in this case a fraction of 100). You can also rewrite this as a decimal because a fraction is essentially the same thing as a division problem and when you divide a number by 100 you usually get a decimal (if the numerator is smaller than 100 that is), and also because decimals are similar to fractions because they represent parts a whole unit for instance the percentage 72% is equivalent to the fraction 72/100 which is the same as 72 divided by 100 which is the same as the decimal 0.72.

Sorry for the long explanation but I hope this helped! 
6 0
3 years ago
Solve for t. d=−16t2+4t t=12±41−4d‾‾‾‾‾‾√ t=8±1−4d‾‾‾‾‾‾√ t=18±1−4d√8 t=12±41−4d√2
dangina [55]

Answer:

t=\dfrac{1}{8}\left(1\pm\sqrt{1-4d}\right)

Step-by-step explanation:

Rearranging your quadratic to standard form, you get ...

16t^2 -4t +d = 0

For the quadratic formula, you have ...

a = 16

b = -4

c = d

so the solution is ...

t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(16)(d)}}{2(16)}=\dfrac{4\pm 4\sqrt{1-4d}}{32}\\\\t=\dfrac{1}{8}\left(1\pm\sqrt{1-4d}\right)

7 0
3 years ago
Read 2 more answers
In four hours, a hiker in a canyon goes from 892 ft to 256 ft above the canyon floor. Find the hiker’s vertical speed. A. 287 ft
Tomtit [17]

Answer: C is the correct option

Step-by-step explanation:

In four hours, a hiker in a canyon goes from 892 ft to 256 ft above the canyon floor.

From the above information,

Total distance travelled by the hiker in moving from 892 ft to 256 ft above the Canyon is 256 - 892 = -636 ft

Speed = distance travelled/time

The hiker’s vertical speed is total distance travelled vertically divided by the time it takes to travel the vertical distance. It becomes

-636/4 = –159 ft/h

8 0
3 years ago
Mrs. Wallace wants to buy 112 gallons of sour cream for a recipe. If sour cream is sold only in 1-pint containers, how many cont
serg [7]

Answer:

896 containers

Step-by-step explanation:

Given that;

1 pint = 1 container

Convert 112 gallons to pint

1 pint x 0.125 gallons

x = 112gallons

Cross multiply

0.125x = 112

x = 112/0.125

x = 896 pints

Since sour cream is sold only in 1-pint containers, then the total container she will buy is 896 containers

8 0
3 years ago
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