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grandymaker [24]
2 years ago
14

In ΔOPQ, the measure of ∠Q=90°, OQ = 80, QP = 39, and PO = 89. What ratio represents the cosecant of ∠P?

Mathematics
2 answers:
WINSTONCH [101]2 years ago
7 0

Answer:

Solution given:

we have

<Q=90°

OP=hypotenuse [h]=89

base[b]=QP=39

perpendicular [p]=OQ=80

we have

cosecant <P=h/p=OP/OQ=89/80

Serjik [45]2 years ago
3 0

Answer:

cos(O) = 39 / 89

Step-by-step explanation:

Given:

ΔOPQ, where

∠Q=90°

PO = 89

OQ = 39

QP = 80

cosine of ∠O?

cos(O) = Adjacent / Hypotenuse

cos(O) = 39 / 89

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Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th
Allisa [31]

Answer:

3 1/4 + 2x ≥ 6

Step-by-step explanation:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

I hope this helps you :)

6 0
3 years ago
Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the
Alenkinab [10]

Answer:

The estimated area is 416\frac{13}{16}\ ft^{2}

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft

14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft

step 2

Find the area of one wall

(\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}

step 3

Multiply the area of one wall by 3

(3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}

step 4

Convert to mixed number

\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}

4 0
3 years ago
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0
2 years ago
A(x)= 3m(x)+4 in standard form
Leviafan [203]

Answer:

a(x)= 3mx+4

Step-by-step explanation:

have a lovely day <3

6 0
2 years ago
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disa [49]

Answer:

5

Step-by-step explanation:

The degree is just the number with the highest power. In this case, it is 3^5. Therefore, 5 is the degree.

If this helps please mark as brainliest

8 0
2 years ago
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