a number is the square root of 16 and also the square root of 2. what is the number?​

Answer:

8 1/2 feet

Step-by-step explanation:

Here is the complete question

A window shaped like a parallelogram has an area of 73 2/3 square feet. The height of the window is 8 2/3 feet. How long is the base of the window?

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area = base x height

73 2/3 = 8 2/3 x base

divide 73 2/3  by 8 2/3

221/3 x 3/26 = 8 1/2 feet

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

Answer:

0.28

Step-by-step explanation:

28 divided by 100=0.28

Answer:0.28m

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.

Answer:

I think D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its d

Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

Answer:

can u in some way better write down the expression so i can solve..? :)

Answer: P=2300 (1- 0.05)^x

Step-by-step explanation:

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Question isn't well formatted and seems incomplete :

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.

Answer:

Step-by-step explanation:

Given that:

Number of trucks = 3

Number of bags each truck can hold = 3

Weight per bag = 200 pounds

Amount of in each truck :

Weight per bag * number of bags

200 * 3 = 600 pounds

Which is 600 pounds per truck

Total pounds carried by the trucks :

600 pounds * 3 = 1800 pounds

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

Answer:

angle FGJ and angle KJG

hope it helps

Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

I’ve attached my table of what I’ve done

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

Read more about bearing and elevation at

https://brainly.com/question/19594654

Answer:

this is not a complete question cause u did not give full numbers

Step-by-step explanation:

not trying to steal points can u finish the question

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

Answer:

Step-by-step explanation:

Put them in your calculator. I think you'll find 2.95 is larger by 0.001

Do it like this 2.95 - 2.949 = 0.001

Answer:

umm don't know.....

Step-by-step explanation:

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