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3 years ago

Find the area of rectangle who’s length is 35 and diognal is 37

Mathematics

2 answers:

maxonik [38]3 years ago

8 0

Step-by-step explanation:

Hope it helps uh

Plz mark as brainlist

Tanzania [10]3 years ago

5 0

Answer:

420 unit^2.

Step-by-step explanation:

By Pythagoras theorem:

37^2 = 35^2 + w^2 where w = the width.

w^2 = 37^2 - 35^2

w^2 = (37 + 35) (37 - 35)

w^2= 72 * 2 = 144

w = 12 units.

So the area = 12 * 35

= 420 unit^2.

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What is the root number of 121?

Rom4ik [11]

Answer:

11 is the root of 121 ........

3 0

2 years ago

Find the area of the figure. PLEASSEEEEEEEE!!!!!!!!

allochka39001 [22]

Given:

side length = 6 ft

To find:

The area of the figure

Solution:

Area of the square = side × side

= 6 × 6

Area of the square = 36 ft²

Diameter of the semi-circle = 6 ft

Radius of the semi-circle = 6 ÷ 2 = 3 ft

Area of the semi-circle = $\frac{1}{2} \pi r^2$

$$=\frac{1}{2} \times 3.14 \times 3^2$

Area of the semi-circle = 14.13 ft²

Area of the figure = Area of the square - Area of the semi-circle

= 36 ft² - 14.13 ft²

= 21.87 ft²

Area of the figure = 21.9 ft²

The area of the figure is 21.9 ft².

5 0

3 years ago

Need help ASAP!!!! Been thinking for a long time.

Keith_Richards [23]

Answer:

81%

Step-by-step explanation:

First, let's set up 3 equations:

w*0.6 = x

x*1.5=y

y*0.9=z

Now, we can substitute x in the second equation for w*0.6:

w*0.6*1.5 = y

Lastly, we can substitute y in the last equation for w*0.6*1.5:

w*0.6*1.5*0.9=z

w*0.81=z

Therefore, z is 81 percent of w.

6 0

3 years ago

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$

Since the initial term is 13 and the common difference is 7:

$x_n=13+7(n-1)$

Substitute:

$\displaystyle S = \frac{n}{2}\left(a + (13+7(n-1)\right)$

We are given that the initial term is 13 and the sum is 2613. Substitute:

$\displaystyle (2613)=\frac{n}{2}((13)+(13+7(n-1)))$

Solve for n. Multiply both sides by two and combine like terms:

$5226 = n(26+7(n-1))$

Distribute:

$5226 = n (26+7n-7)$

Simplify:

$5226 = 7n^2+19n$

Isolate the equation:

$7n^2+19n-5226=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 7, b = 19, and c = -5226. Substitute:

$\displaystyle x =\frac{-(19)\pm\sqrt{(19)^2-4(7)(-5226)}}{2(7)}$

Evaluate:

$\displaystyle x = \frac{-19\pm\sqrt{146689}}{14} = \frac{-19\pm 383}{14}$

Evaluate for each case:

$\displaystyle x _ 1 = \frac{-19+383}{14} = 26\text{ or } x _ 2 = \frac{-19-383}{14}=-\frac{201}{7}$

We can ignore the second solution since it is negative and non-natural.

Therefore, there are 26 terms in the arithmetic series.

Our answer is A.

6 0

2 years ago

Help me please!!!!!!!!!!!!!!!!!!!!

larisa86 [58]

Answer:

2.7 hours

Step-by-step explanation:

10,000/60=166/60=1.7

5 0

3 years ago