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Hunter-Best [27]

3 years ago

11

Please this is so urgentttt

1 answer:

KATRIN_1 [288]3 years ago

3 0

Z= 52 degrees

First use the equation 1/2(x+y) to find the missing and third angle that is not labeled for the triangles.

1/2(x+y)
1/2(108+40)
1/2(148)
74

So 74 is the measure of the third angle in the triangle. Next find the measure of w.

W is an inscribed angle that intercepts an arc that has the measure of 108 degrees. Inscribed angles are worth half of the measure of the value of the arc which it intercepts.

108/2=w
54=w

Next use the triangle angle sum theorem to grind the value of z. Set it all up to 180 degrees.

z+54+74=180
z+128=180

Subtract 128 from both sides

z=52

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3 years ago

A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t

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Solution: We are given:

$\mu=0.33, \sigma =0.7$

Let $x$ be the weight (oz) of laptop

We have to find $P(x>32)$

To find the this probability, we need to find the z score value.

The z score is given below:

$z=\frac{x-\mu}{\sigma}$

$=\frac{32-33}{0.7}$

$=-1.43$

Now, we have to find $P(z>-1.43)$

Using the standard normal table, we have:

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4 0

2 years ago

Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

The number of cookies and trays are illustrations of greatest common factors.

The number of trays is 8
6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

$\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}$

$\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}$

So, the GCF is:

$\mathbf{GCF= 2 \times 2 \times 2}$

$\mathbf{GCF= 8}$

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

Divide each cookie by the number of trays

So, we have:

$\mathbf{Chocolate\ chip = \frac{48}{8} = 6}$

$\mathbf{Rainbow = \frac{64}{8} = 8}$

$\mathbf{Oatmeal = \frac{150}{8} = 15}$

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

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4 0

2 years ago

Can someone help me pls

Andrej [43]

Answer:

x=78

Step-by-step explanation:

q is 90 degrees since it is a right angle,

p=12

90 plus 12 =102

x=180-102

x=78

3 0

3 years ago

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3 years ago