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Talja [164]
3 years ago
11

Freddy wants an average grade of 93 from his four algebra exams. The scores for his first three exams are 94, 89, and 96. What g

rade would Freddy need to earn on his fourth exam to have an average grade of 93?
Mathematics
1 answer:
White raven [17]3 years ago
8 0
He would need a 93% on his fourth exam.

94+89+96+93= 372, 372 divided by 4= 93
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We need to attach a support wire to Glendale's flagpole, which is 24 feet high. The
antoniya [11.8K]

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

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

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

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2 years ago
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6 0
3 years ago
Is EFGH below a rectangle
poizon [28]

Answer:

  D. No, because EFGH is a parallelogram but it’s diagonals are not congruent

Step-by-step explanation:

The differences between the end points of the diagonals are ...

  F -H = (1, 1) -(2, -5) = (1 -2, 1 -(-5)) = (-1, 6)

  G -E = (4, -2) -(-1, -2) = (4 -(-1), -2 -(-2)) = (5, 0)

The length of FH is more than 6, the length of GE is exactly 5. The diagonals are different length, so the figure cannot be a rectangle.

__

The midpoints of the diagonals will be in the same place if the sum of their end points is the same. (Dividing each sum by 2 gives the midpoint of that segment.)

  F+H = (1, 1) +(2, -5) = (3, -4)

  G+E = (4, -2) +(-1, -2) = (3, -4)

The diagonals bisect each other (have the same midpoint), so the figure is a parallelogram.

EFGH is a parallelogram, but not a rectangle: its diagonals are not congruent.

3 0
2 years ago
If the area of a rectangle is 60 in?
Nataliya [291]

Answer:12 in

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag
DiKsa [7]

<em>Total marbles:</em> 8 + 16 + 14 + 10 = 48

<em>Marbles that are not white:</em> 48 - 16 = 32

<em>Probability it will not be white:</em> 32/48 = 2/3

3 0
3 years ago
Read 2 more answers
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