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3 years ago

The height of an equilateral triangle is 46 inches.

1 answer:

3 0

All angles in an equilateral triangle are 60°, so you can use trigonometry and say that
sin(60) = 46/side
side = 46/sin(60)
side = 46/0.866 = 53.12. I hope this helps!

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Yesterday, Sharon read 14 pages of a book. Today, she continued reading the book at the same speed. She read 10 pages in 35 minu

horrorfan [7]

Answer:

Sharon spent a total of 49 minutes yesterday reading the book

Step-by-step explanation:

Step 1: Calculate the rate at which she reads

The total number of pages she reads at any given time interval can be expressed as;

T=P×m

where;

T=Total number of pages she reads

P=the rate at which she reads in number of pages per minute

m=total number of minutes she takes reading a book

In our case;

T=10 pages

P=p

m=35 minutes

replacing;

10=p×35

p=10/35

p=(10/35)

The rate at which she reads=(10/35) pages per minute

Step 2: Calculate the time she spent reading the book yesterday

Yesterdays variables are as follows;

T=14 pages

p=(10/35) pages per minute

m=unknown

replacing;

14=(10/35)×m

m=14×(35/10)

m=49

Sharon spent a total of 49 minutes yesterday reading the book

8 0

3 years ago

Lorena is driving a truck that is painting the lines on a new road. The lines she paints are 0.152 meters wide, and she will pai

Alina [70]

Answer:

8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

(5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

5 0

3 years ago

Ms. Lee works at a pizzeria. She delivers an average of 3 pizza orders per hour. The pizzeria is offering a bonus to employees w

alexandr1967 [171]

Answer:

58 hours.

Which can also be 2days 10 hours.

Step-by-step explanation:

3 pizza orders = 1hour

200 deliveries per month= bonus

26 orders so far this month.

X= 200-26= 174

174 divided by 3 = 58 hours.

6 0

3 years ago

Solve the system of 2x-5y+z=1 3 y+2z=5-24z=48

motikmotik

<span>A) 2x -5y +z = 1
B) 3 y + 2z = 5
C) -24 z = 48
Those 3 equations you typed were somewhat squished together.
Did I retype those correctly?
Let me know and I'll solve it.

</span>

8 0

3 years ago

A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the a

Gnom [1K]

Answer: 4 sq. in

Step-by-step explanation:

From the question, the card is 8 inches long. Therefore, the length of the vertical diagonal of 1 kite + the length of the vertical diagonal of other kite = 8

Since we have been told that the kites are congruent, therefore the length of the vertical diagonal of both kites will be thesame

Therefore, 2(length of the vertical diagonal of 1 kite) = 8

Therefore, the length of the vertical diagonal of 1 kite will be= 4 inches

The width of the card = 4 inches

Therefore, the length of the horizontal diagonal of 1 kite + the length of the horizontal diagonal of another kite =4

Since the kites are congruent, therefore, the length of the horizontal diagonal of both kites are the same

Therefore, 2(length of the horizontal diagonal of 1 kite) = 4

Therefore, the length of the horizontal diagonal of 1 kite will be= 2 inches

Therefore, the length of the vertical diagonal of the kite= 4 inches and the horizontal diagonal= 2 inches

So, Area of kite = pq/2

Where p and q are diagonals of kite

Area of kite = (4×2)/2

=8/2

= 4 inches square

3 0

2 years ago

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