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JulsSmile [24]
2 years ago
6

A dog has dug holes in diagonally-opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance be

tween the two holes is 17 meters. How wide is the yard?

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
6 0

For a better understanding of the solution provided please go through the diagram in the file attached.

Let ABCD be the rectangular yard. The diagonal d=17 meters. AD=8 meters. Therefore, the length of DC can be found by applying the Pythagorean theorem in the right triangle \Delta ADC as:

DC=\sqrt{17^2-8^2}=\sqrt{(AC)^2-(AD)^2}=\sqrt{225} =15 meters.

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Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori
m_a_m_a [10]

Answer:

The number of seashells he have in his collection all together is <u>140</u>.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be x.

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

35\%\ of\ x=49.

⇒ \frac{35}{100} \times x=49

⇒ 0.35\times x=49

⇒ 0.35x=49

Dividing both sides by 0.35 we get:

⇒ x=140.

Therefore, the number of seashells he have in his collection all together is 140.

4 0
1 year ago
Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
katrin2010 [14]
The formula for getting the accumulated amount(compounded) is;
A =P(1+r%)∧n
Where A = Acumulated amount 
            P = principle (deposit)
            r = interest rate and
            n = period
Since the interst is compounded quartly, 
period = (5×4)-3 = 17

A = 7100(1+2.8/100)∧17
   = 7100×1.028∧17
   = 11,353.80

The money she will end up earning in interest on the cd = $11,353.80
4 0
2 years ago
In a test, the total of the marks scored by Sampat and Ganpat was 125% more than Sampat's
lord [1]
The difference in the their marks is 20%
4 0
1 year ago
The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
mario62 [17]
<span>The dimensions are 40 inches by 55 inches.

Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).

Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).

To divide fractions, flip the second one and multiply:
 y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
8 0
2 years ago
Jenny is either a hippie or an artist. But Jenny is certainly not a hippie. So it can be concluded that Jenny is an artist is th
Natasha2012 [34]

Answer:

Deductive

Step-by-step explanation:

Jenny is an artist.

This is a deductive argument because the inductive use the particular to get the general and the deductive use the general to get the particular.

4 0
1 year ago
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