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3 years ago

PLEASE HELP ME ASAP!

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

The answer to the question is 2

Vedmedyk [2.9K]3 years ago

3 0

This is pretty easy... its b) 2

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Dae opens a credit card with an APR of 19.49% compounded monthly. How much is charged in interest this month if her balance is $

ASHA 777 [7]

Interest charged
1,250×0.1949×(1÷12)
=20.30

3 0

4 years ago

Given ARWS = ATUV, find the values of x and y.

Nina [5.8K]

Answer:

x=11 degrees,y=6

Step-by-step explanation:

Here, given ΔRWS ≅ ΔTUV

Two triangle are said to be congruent to each other it they have exactly the same three sides and exactly the same three angles.

So, here RW = UT, WS = UV and SR = VT

⇒ 25 = 3y + 7

or, 3y = 25 - 7 = 18

or, y = 18/3 = 6

⇒ y = 6

In ΔTUV

By Angle Sum Property:

∠ TUV + ∠ UVT + ∠ UTV = 180°

or, 90° + 29°+ ∠ UTV = 180°

⇒∠ UTV = 180° - 119 = 61°

Now, by congruence rule: ∠ WRS = ∠ UTV

⇒ (8x - 27)° = 61°

or, 8x = 27° + 61° = 88°

or, x = 88/8 = 11°

⇒ x = 11°

8 0

3 years ago

Out of 400 applicants for a job, 184 are male and 78 are male and have a graduate degree. Step 1 of 2: What is the probability t

g100num [7]

Answer:

Step 1

$P = 0.4239$

Step 2

$P = 0.624$

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are 400 applicants for a job

184 are male

78 are male and have a graduate degree.

Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they are male? Express your answer as a fraction or a decimal rounded to four decimal places.

Desired outcomes:

Number of male applicants with a graduate degree, which is 78

Total outcomes:

Number of male applicants, which is 184

Probability:

$P = \frac{78}{184} = 0.4239$

Step 2 of 2: If 125 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is male, given that the applicant has a graduate degree? Express your answer as a fraction or a decimal rounded to four decimal places.

Desired outcomes:

Number of male applicants with a graduate degree, which is 78

Total outcomes:

Number of applicants with graduate degrees, which is 115

Probability:

$P = \frac{78}{125} = 0.624$

3 0

3 years ago

Find the exact value

ivann1987 [24]

Answer:

Step-by-step explanation:

$cos~ \theta=\sqrt{1-sin^2 \theta} =\sqrt{1-(\frac{1}{2})^2 } =\frac{\sqrt{3} }{2} \\1+cos~\theta=2cos^2\frac{\theta}{2} \\1+\frac{\sqrt{3}}{2} =2~cos^2 \frac{\theta}{2} \\cos^2\frac{\theta}{2} =\frac{2+\sqrt{3}}{2 \times 2} \\cos \frac{\theta}{2} =\frac{\sqrt{2+\sqrt{3}}}{2} \\1-cos \theta=2 ~sin^2\frac{\theta}{2} \\1-\frac{\sqrt{3}}{2}=2~sin^2 \frac{\theta}{2} \\sin^2 \frac{\theta}{2} =\frac{2-\sqrt{3} }{2 \times 2} \\sin \frac{\theta}{2}=\frac{\sqrt{2-\sqrt{3} } }{2}$

as 0≤θ≤90

so θ/2 is also in 0≤θ≤90

hence sin θ/2 and cos θ/2 are positive.

3 0

3 years ago

Please answer this question now in two minutes

QveST [7]

Answer:

Step-by-step explanation:

To find the largest angle in ∆IJK we must first find the unknown variable which is v.

Angles in a triangle add up to 180.

To find v, add up all the angles and equate them to 180°

That's

36v + 17v + v + 72= 180

54v = 180 - 72

54v = 108

Divide both sides by 54

v = 2

Now substitute the value of v into the above expressions in the triangle

That's

17v = 17(2) = 34°

36v = 36(2) = 72°

v + 72 = 2 + 72 = 74°

From the above solution the largest angle for ∆IJK is 74°

Hope this helps you

4 0

3 years ago