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3 years ago

PLEASE HELP!! If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

M refers to midpoint.

$A(9, 8) \\B(-1, -2) \\M(\frac{x_1-x_2}{2}, \frac{y_1-y_2}{2}) \\M(\frac{9-(-1)}{2}, \frac{8-(-2)}{2}) \\M(\frac{10}{2}, \frac{10}{2})\Longrightarrow\boxed{M(5, 5)}$

Hope this helps.

r3t40

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Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.

bonufazy [111]

Answer:

The ratio of Tan B is

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

$\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

Substituting the given values we get

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

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3 years ago

3 to the third power +6(2+ 3/6)

Oliga [24]

Answer:
42

Explanation:
Using Order of Operations, we have to evaluate the exponent first:
27 + 6(2 + 3/6)

Simplifying the fraction, we have:
27 + 6(2 + 0.5)

Add the values inside the parenthesis:
27 + 6(2.5)

Multiply:
27 + 15

Add:
42

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2 years ago

1. To the nearest ten and the nearest hundred, a store sold about 300 puzzles.

BartSMP [9]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

At another theater, workers have to cut a new trap door. The door can be no more thn 130 square feet in area, with whole-numbers

seraphim [82]

Given:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches

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3 years ago

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spayn [35]

Answer:

c= 1 d=1

Step-by-step explanation:

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