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2 years ago

A tree is 78 feet tall and grows 7 feet per year. A second tree is 111 feet tall and grows 4 feet per year.

2 answers:

7 0

X = number of years
78 + 7x = 111 + 4x
-78 from both sides
7x = 33 + 4x
Subtract 4x from both sides
3x = 33
Divid both sides by 3
X= 11
In 11 years both trees will be the same height.

grigory [225]2 years ago

3 0

In 11 year's each tree will grow to the same height

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Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car

ser-zykov [4K]

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

4 0

3 years ago

100 POINTS FOR BOTH SIDES PLZZZ Plzzz help me with this SIDES

Oliga [24]

Answer:

Step-by-step explanation:

point = (x, y)

A = ( $1\frac{1}{2}$ , 12)

B = ( $2\frac{1}{2}$ , 20)

C = (3, 24)

D = ( $3\frac{1}{2}$ , 28)

y/x ratios

$\frac{12}{1\frac{1}{2} }$

$\frac{20}{2\frac{1}{2} }$

24/3

$\frac{28}{3\frac{1}{2} }$

(1 2/3, 3 1/3) = 3 1/3 ÷ 1 2/3 = 2

(1 1/4, 2 1/2) = 2 1/2 ÷ 1 1/4 = 2

(3, 7) = 7 ÷ 3 = 2 1/3

(4 1/2, 9) = 9 ÷ 4 1/2 = 2

The ratio 7/3 (x = 3 and y = 7) is not proportionally related to the others.

The other ratios are equal to each other and are therefore in proportion.

7. yes

5 0

1 year ago

Calculate the side lengths a and b to two decimal places.

Zinaida [17]

Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

$\angle A+\angle B+\angle C=180$

Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

$a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}$

$a=10.92 units$

$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

6 0

3 years ago

If someone could please help me I’m confused thanks:)

Sedbober [7]

<h3>Answer: x = 45</h3>

Work Shown:

x+x+90 = 180 .... all three angles of a triangle add to 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45

This is a 45-45-90 right triangle. We also consider it an isosceles right triangle because the base angles (45) are equal.

3 0

2 years ago

Ahmed wrote two numbers. The first number has a 7 in its tenths place. The

Colt1911 [192]

Answer: i think the answer is B thousands

Step-by-step explanation:

7 0

3 years ago

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