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Kisachek [45]
3 years ago
6

Aspen can work 25 math problems in 12 and half minutes. How long will it take her to work 38 problems?

Mathematics
1 answer:
ikadub [295]3 years ago
7 0
B)19 
25/12.5=2
38/2=19
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Can you please answer this question
tamaranim1 [39]
3tan^{2} \theta +7sec\theta=3
First I converted the equation terms into sine and cosine.
tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta} and sec\theta= \frac{1}{cos\theta}
Substitution:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3
Common Denominator Created:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3
Multiply each term by the LCD:
3sin^2\theta+7cos\theta=3cos^2\theta
Substitution: Recall ⇒sin^2\theta =1-cos^2\theta 
3(1-cos^2\theta)+7cos\theta=3cos^2\theta
Distribute and collect all terms on one side:
6cos^2\theta-7cos\theta-3=0
Factor and set each factor equal to 0:
(2cos\theta-3)(3cos\theta+1)=0
2cos\theta-3=0⇒theta=cos^{-1} \frac{3}{2}
3cos\theta+1=0⇒theta=cos^{-1} \frac{-1}{3}
The 2nd factor provides only possible answer 109.5 degrees

4 0
3 years ago
A 2-gallon jug of juice costs $10.88. What is the price per cup?
Elodia [21]

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

3 0
3 years ago
Need help please, also about probabilities
liberstina [14]

Answer:

Step-by-step explanation:

Good evening ,

_______________

a) p(rat)=1-(0,35+0,4+0,1)

b) p(cat ∪ hamster)=0,35+0,1

c) p(dog then dog)= (0,4)²

:)

8 0
3 years ago
Help me so confused?
Eva8 [605]

BD is 31 degrees because it is the same.

ADB is 90-31 because it is a right angle ( 59 degrees)

DEC is 180 - (31*2) because the 180 is of the trangle and the 31 is the same on the other side so times 2 then removed from 180

7 0
3 years ago
Given that WA = 5x – 8 and WC = 3x + 2, find WB. A. WB = 5 B. WB = 8 C. WB = 10 D. WB = 17
rodikova [14]
The rest of the question is the attached figure.
============================================
Δ AYW a right triangle at Y ⇒⇒⇒ ∴ WA² = AY² + YW²
And AY = YB ⇒⇒⇒ ∴ WA² = YB² + YW²   → (1)
Δ BYW a right triangle at Y ⇒⇒⇒ ∴ WB² = BY² + YW²  → (2)
From (1) , (2)  ⇒⇒⇒ ∴ WA = WB  →→ (3)
Δ CXW a right triangle at Y ⇒⇒⇒ ∴ WC² = CX² + XW²
And CX = XB ⇒⇒⇒ ∴ WC² = XB² + XW²   → (4)
Δ BXW a right triangle at Y ⇒⇒⇒ ∴ WB² = XB² + XW²  → (5)
From (4) , (5)  ⇒⇒⇒ ∴ WC = WB  →→ (6)
From (3) , (6)
WA = WB = WC
given ⇒⇒⇒ WA = 5x – 8 and WC = 3x + 2
∴ <span> 5x – 8 = 3x + 2</span>
Solve for x ⇒⇒⇒ ∴ x = 5
∴ WB = WA = WC = 3*5 + 2 = 17

The correct answer is option D. WB = 17






7 0
3 years ago
Read 2 more answers
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