All categories

2 years ago

Someone can help???

Mathematics

1 answer:

frozen [14]2 years ago

5 0

Answer:

The slant of the ladder is 5 ft

Step-by-step explanation:

Look at the attached figure to understand this situation

∵ a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

∴ a = 4 ft

∵ b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

∴ b = 3 ft

∵ c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c = $\sqrt{a^{2}+b^{2}}$

∴ c = $\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}$

∵ $\sqrt{25}$ = 5

∴ c = 5 ft

∴ The slant of the ladder is 5 ft

You might be interested in

Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate

salantis [7]

The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.

8 0

3 years ago

Read 2 more answers

Can someone graph x < 2?

natima [27]

This would be the graph

5 0

2 years ago

The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of

AveGali [126]

Answer:

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

Step-by-step explanation:

From the question we are told that that the null hypothesis is

$H_o : \sigma < 14.7$

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.

3 0

3 years ago

In the number 3,394,143 the 4 in the tens place is (blank) the value of the 4 in the thousands place.

cluponka [151]

it is 0.01 times the value because it is a hundreds time smaller than the other four.

5 0

3 years ago

Maria makes money by commission rates. She gets 15% of everything she sells. If Maria sold $23000 worth of items this month, wha

Verizon [17]

To find 15% of 23000,
23000 x (15/100) = 23000 x 0.15 = 3450
So her salary for the month would be $3450.

5 0

2 years ago

Read 2 more answers