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3 years ago

Find the size of angle xyz give your answer to 3 significant figures

Mathematics

1 answer:

KengaRu [80]3 years ago

8 0

Answer:

Step-by-step explanation:

This is a right triangle, so we can use SIN,COS,TAN to solve for the angle.

We want ∠YXZ

THe side opposite to the angle is given as 20

The side adjacent to the angle is given as 8

Which trig ratio relates "opposite" and "adjacent"??

It is Tan!!

Thus, we can write:

$Tan(\angle YXZ)=\frac{20}{8}\\Tan(\angle YXZ)=\frac{5}{2}\\Tan(\angle YXZ)=2.5\\\angle YXZ = ArcTan(2.5)\\\angle YXZ = 68.2$

THis is the angle

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A = 16 in , b = 8 in., h =

klasskru [66]

The height is 2 inches

7 0

3 years ago

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts.

Pachacha [2.7K]

Answer:

500 lbs of mixed nuts

Step-by-step explanation:

15.4% of mixed nuts = 77 lbs of pecans

Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:

77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts

Now multiply that number by 100 to get 100% of mixed nuts:

5 x 100 = 500

Therefore, there are 500 lbs of mixed nuts in a batch altogether.

To check, 15.4% = 15.4/100 = 0.514

Therefore, 15.4% of 500 = 0.514 x 500 = 77

Thereby proving that 15.4% of 500 is 77.

8 0

2 years ago

Type the correct answer in each box.

Mariulka [41]

Answer:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$r=\sqrt{(2+4)^{2}+(-3-5)^{2}}$

$r=\sqrt{(6)^{2}+(-8)^{2}}$

$r=\sqrt{100}\ units$

$r=10\ units$

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(5,-4)\\r=10\ units$

substitute

$(x-5)^2+(y+4)^2=10^2$

$(x-5)^2+(y+4)^2=100$

6 0

3 years ago

I need this done it’s due tmr and I need each problem simplified in the lowest fraction

Ivenika [448]

Answer:

photomath

Step-by-step explanation:

theres an app where you can take a pic of your problem and it would solve it for you,including fractions. I'm pretty sure it will simplify your answers too.The app is called photomath

8 0

3 years ago

Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)

d1i1m1o1n [39]

Answer:

(2.5, 2.5)

Step-by-step explanation:

Coordinates of midpoint

$= \bigg( \frac{ - 2 + 7}{2}, \: \: \frac{6 - 1}{2} \bigg) \\ \\ = \bigg( \frac{5}{2}, \: \: \frac{5}{2} \bigg) \\ \\ = ( 2.5, \: \: 2.5 )$

8 0

2 years ago