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Mariana [72]
3 years ago
5

Plz, help ASAP!!!!!!!!!!!!!!!

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer: m∠QPR = 40

<h2>Step-by-step explanation:</h2>

Because PG is perpendicular to PS, it is safe to assume that angle QPS is 90 degrees.

(7x-9) + (4x +22) = 90

x = 7

Because we need to find the degrees of QPR, plug in the equation for that angle with the value of x we found.

7(7) - 9 = 40

m∠QPR = 40

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
How do perform the equation x-(4x-2y)-5y
cluponka [151]

Answer:

-3x - 7y

Step-by-step explanation:

x - (4x - 2y) - 5y

x - 4x - 2y - 5y

Combine like terms

x - 4x = -3x

-2y - 5y = -7y

Now, we have our final answer:

-3x - 7y

7 0
2 years ago
Please help use pic.
sertanlavr [38]
Let the reduced price be x

If he paid for 6 rounds, he paid 1 round at full price of $19 and 5 rounds at reduced price:
19 + 5x = 59
5x = 59 - 19
5x = 40
x = 40 ÷ 5 
x = 8

The reduced price is at $8 per round.

4 0
3 years ago
The yearbook team is designing the pages for school clubs so
yarga [219]

Answer:

creo que sería 54 por actitud de :72-1 1?? por eso sería esta cosa esxtactamente espero que te allá ayudado

6 0
2 years ago
You want to buy birthday hats, cards, and teddy bears for your best friends birthday party. You buy the products for wholesale p
Naya [18.7K]

Answer:

I will create a five by four matrix to indicate the costs of the products.  The matrix will have five vertical columns and four horizontal rolls.  The vertical columns will show the product categories and the total costs for all the products and decorations.  The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs         Hats         Cards      Teddy    Total Costs

Product costs           $2.50       $0.90       $3.10        $6.50

Decoration costs      $1.50       $0.60        $1.70        $3.80

Total costs               $4.00        $1.50       $4.80       $10.30

6 0
3 years ago
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