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makkiz [27]
2 years ago
8

Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself.

Thank you.

Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

f(-4) = (-4)² + 2 = 16 + 2 = 18

g(-4) = 1 - 3 (-4) = 1 + 12 = 13

and so

(f/g)(-4) = 18/13

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20 pts and brainiest if correct
amid [387]

We have 1 square with side length 8 inches, and 4 triangles with a base length of 8 inches and a height of 15.

Surface area = (8 × 8) + 4(0.5 × 8 × 15)

The first part of this equation is the area of the square

The second part is the area of a triangle, multiplied by 4 (because there are 4 triangles)

= 64 + 4(60)

= 64 + 240

= 304 in²

The total surface area is 304 square inches.

Let me know if you need any clarifications, thanks!

7 0
3 years ago
Which equation is the slope-intercept form of the line that passes through (12, 9) and is perpendicular to the graph of y = −34x
noname [10]

Answer:did

Step-by-step explanation:I do that.

8 0
3 years ago
What is the 222-5555
KiRa [710]
Are you trying to subtract?

If so, the answer is -5,333.
6 0
3 years ago
Given the right triangle MLK and PLN below ; PL=15, KN=4 and cos(L)= (4/5). Find the length of KM
icang [17]
We can answer the question above by using the trigonometric functions and the concept of similar triangles. 
Given that cos (L) is 4/5. The length of sides PN and NL can be solved. Please see solution below.
                            4/5 = NL / 15   ;    NL = 12
Solving for PN,
                                 PN² + 12² = 15²
The value of PN is 9.
Then, using the concept of similar triangles,
                                KN/(KN + NL) = PN/ KM
Substituting the known values,
                                 4/(4 + 12) = 9 / KM
The value of KM is 36. 
8 0
3 years ago
PLEASE HELP ME PLEASEE!
Sever21 [200]

Step-by-step explanation:

13)

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides (a, b, c) are always opposite to the correlated angles (A, B, C).

12/sin(90) = DC/sin(47)

12/1 = DC/sin(47)

DC = 12×sin(47) = 8.776244419... ≈ 8.8

14)

so, we have a right-angled triangle.

the ladder (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle). the ground distance (17 ft) of the ladder to the wall and the height on the wall are the legs.

first let's get the third side (the height in the wall) by using Pythagoras :

c² = a² + b²

c being the Hypotenuse.

20² = 17² + height²

400 = 289 + height²

height² = 111

height = sqrt(111) = 10.53565375... ft

now, again the law of sine :

20/sin(90) = sqrt(111)/sin(angle)

20 = sqrt(111)/sin(angle)

sin(angle) = sqrt(111)/20 = 0.526782688...

angle (ladder with ground) = 31.78833062...° ≈ 32°

15)

cos > 0 and csc < 0.

as csc = 1/sin, this means sin < 0.

sin (and therefore csc) is negative only in the 3rd and 4th quadrant.

cos is positive in the 1st and the 4th quadrant.

so, the answer is the 4th quadrant (bottom right).

16)

tan(315) = sin(315)/cos(315)

315° = 360 - 45 = 270 + 45

so, this is half of the 4th quadrant, and that means

sin(315) = -cos(315) (sine of 45° = cosine of 45°).

tan(315) = -cos(315)/cos(315) = -1

3 0
2 years ago
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