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2 years ago

The Square root of 180 falls between which two whole numbers?

Mathematics

2 answers:

Luda [366]2 years ago

7 0

The root of 180 is 90 so when you add both makes 180

Mrrafil [7]2 years ago

4 0

<span>The Square root of 180 when put into a calculator is 13.416
so your answer would be 13 and 14</span>

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Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.

blagie [28]

<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>

<em><u>Solution:</u></em>

Given that,

Price of telescope = $ 400

Mark up = 32 %

To find: Cost after mark up

The formula used is:

<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>

Therefore,

Cost after mark up = 400 + 32 % of 400

$\text{Cost after mark up } = 400 + \frac{32}{100} \times 400\\\\\text{Cost after mark up } = 400 + 0.32 \times 400\\\\\text{Cost after mark up } = 400 + 128\\\\\text{Cost after mark up } = 528$

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )

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2 years ago

Solve the compound inequality. Graph the solution set.<br> -2x<2x-4<4

Arte-miy333 [17]

I hope this helps you

-2x <2x-4

4 <4x

1 <x

2x-4 <4

2x <8

x <4

1 <x <4

5 0

2 years ago

You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi

Damm [24]

Answer:

Cabin is 567 yards away...

Step-by-step explanation:

The angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin)

Use the tan function:

opposite = 220 yards

adjacent = x

tan(21.2°) = (opposite / adjacent)

tan(21.2°) = 220 yards/x

x * tan(21.2°) = 220 yards

x = 220 yards/ tan(21.2°)

x= 220/ 0.388

x = 567 yards.

Cabin is 567 yards away...

6 0

2 years ago

Solve for x in the equation x squared + 14 x + 17 = negative 96. x = negative 7 plus-or-minus 4 StartRoot 6 EndRoot i x = –7 ± 8

blagie [28]

Answer:

$x=-7\pm8i$

Step-by-step explanation:

we have

$x^{2} +14x+17=-96$

Equate to zero

$x^{2} +14x+17+96=0$

$x^{2} +14x+113=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$x^{2} +14x+113=0$

$a=1\\b=14\\c=113$

substitute in the formula

$x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}$

$x=\frac{-14\pm\sqrt{-256}} {2}$

Remember that

$i=\sqrt{-1}$

$x=\frac{-14\pm16i} {2}$

$x=-7\pm8i$

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Answer:

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