All categories

3 years ago

Problem 1

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer:

The hypotenuse measures 8.48 meters.

Step-by-step explanation:

Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:

6 ^ 2 + 6 ^ 2 = X ^ 2

36 + 36 = X ^ 2

√ 72 = X

8.48 = X

Therefore, the hypotenuse measures 8.48 meters.

You might be interested in

Katie invested a total of $4000, part at 2% simple interest and part at 3% simple interest. At the end of 1 year, the inves

Fiesta28 [93]

Answer:

$3000

$1000

Step-by-step explanation:

the formula for simple interest = principal x time x interest rate

let the amount invested in the 2% investment be a

let the amount invested in the 3% investment be (4000 - a)

(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90

0.02a + 120 - 0.03a = 90

Collect like terms and solve for a

0.01a = 30

a = $3000

The amount invested in the 3% investment be (4000 - a) = $4000 - $3000 = $1000

7 0

3 years ago

Need help filling in the blanks: selling price using markup.

Xelga [282]

Answer:

Refer to the explanation.

Step-by-step explanation:

Let's take each one at a time.

To solve for the complement, we simply subtract our markup rate by 100%.

100% - 30% = 70%

Now to solve for the selling price, we use the formula

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{86.74}{0.70}$

Selling Price = $123.91

We do the same process with the first number.

100% - 40% = 60%

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{220.00}{0.60}$

SellingPrice = $366.67

The same as the first two.

100% - 20% = 80%

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

$SellingPrice=\dfrac{89.50}{0.80}$

SellingPrice = $111.88

Now to solve for the markup rate, we use the formula:

$MarkupRate=\dfrac{Markup}{SelingPrice}$

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.

Selling Price = $235.28

Cost = $199.99

Markup = $235.28 - $199.99

Markup = $35.29

Now the we know our markup, we can then solve for the markup rate using the formula.

$MarkupRate=\dfrac{Markup}{SelingPrice}$

$MarkupRate=\dfrac{35.29}{235.28}$

MarkupRate = 0.1499 x 100 = 14.99% or 15%

Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

$SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}$

Selling Price = $30.77

Complement = 65% or 0.65

This will then give us.

$30.77=\dfrac{Cost}{0.65}$

We multiple both sides of the equation by 0.65 to leave our cost alone.

30.77 x 0.65 = Cost

Cost = $20

4 0

3 years ago

PLS HELP ASAP I SUCK AT THIS PLSS

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

60*0.45=27

5 0

3 years ago

Consider the experimental situation described below. Ability to grow in shade may help pines in the dry forests of Arizona resis

USPshnik [31]

Answer:

The experimental subjects are pine tree seedlings .

Step-by-step explanation:

The physical entity to which the treatment is assigned at random is known as experimental unit .

The same treatment cannot be received by two experimental units, they have to different treatments. The selection of experimental units plays an important role to determine the p-values in the statistical analysis. The experimental units are divided into different homogeneous groups called blocks.

From the question, the experimental subjects identified are pine tree seedlings.

3 0

3 years ago

Sea level changes occur at a rate of 10 m per 1,000 years.

mihalych1998 [28]

Answer:

C) 10,000

Step-by-step explanation:

10x1000 = 10,000

Therefore the answer is 10,000.

8 0

3 years ago

Read 2 more answers