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Evgen
10 days ago
6

Mia had $22. Then she started to receive $4 a week as an allowance. She plans to save all of her money for a bicycle and draws a

graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?
Mathematics
1 answer:
AnnZ [9K]10 days ago
8 0
For Mia's calculations, she should use y first because y signifies 22, while x indicates 4 dollars earned weekly.
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A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r
babunello [8412]

Alright, let's begin.

A right triangle (Triangle 1) has a hypotenuse measuring 115 mm, and angle α = 31.2°. What are the dimensions for a, b, and angle β?

Please see the diagram I have provided.

Utilizing SOH CAH TOA,

sin 31.2 = \frac{b}{115}

b = 115 sin31.2

Substituting the value of sin 31.2

b = 115*0.518 = 59.57 mm

Likewise,

cos31.2 = \frac{a}{115}

a = 115cos31.2

Substituting the value of cos 31.2

a = 115*.8553 = 98.36 mm

For angle β

tan β = \frac{98.36}{59.57}

tan β = 1.65

Using the tangent inverse

β = 58.78°

Thus, we have a = 98.36 mm, b = 59.57 mm, and β = 58.78°:   Final Answer

I hope this is helpful:)

A right triangle (Triangle 1) has lengths of a = 505 mm and b = 286 mm. What are the dimensions for c, α, and β?

Refer to the diagram I’ve attached.

With sides a and b provided, we can find side c using the Pythagorean theorem.

c^2 = a^2 +b^2

c^2 = 505^2 + 286^2

c^2 = 255025+81796

c^2 = 336821Taking the square root of both sides

c = 580.36 mm

Applying SOH CAH TOA,

tan α =

Taking the tangent inverse\frac{505}{286}

α = 60.48°

Similarly,

tan β =

Taking the tangent inverse\frac{286}{505}

β = 29.52°

Thus, the answer is c = 580.36 mm, α = 60.48° and β = 29.52°:    Final Answer

I hope this is helpful:)






7 0
6 days ago
One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outs
Leona [9271]

Respuesta: Es C

Explicación paso a paso:

Tu gráfico debe ser este, con ambas líneas sólidas, dado que la línea X, o roja, debe estar al menos en -1 o más, y la línea Y, o azul, debe estar en +4 o más

4 0
10 days ago
Read 2 more answers
John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John's words per mi
Zina [9171]

Answer:

When x = 72, the z score is:

z = \frac{72-58}{11}= 1.273

The average is 58

This z-score indicates that x= 72 is 1.273 standard deviations above the mean.

Step-by-step explanation:

Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.

Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is

In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:

X \sim N (\mu= 58, \sigma=11)

The formula for the z score is as follows:

z = \frac{X -\mu}{\sigma}

By substituting values, we derive:

z = \frac{72-58}{11}= 1.273

The mean is 58

This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.

8 0
17 days ago
The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be used to find
Svet_ta [9500]

Response: Using the Pythagorean theorem, we can set up the equation as 14^2=9^2+x^2

                                     -9^2    -9^2

Thus, our equation simplifies to

x^2=14^2-9^2

8 0
5 days ago
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Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld?
tester [8842]
Chuck's gross pay will decrease by $129.04.
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23 days ago
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