Round 1149 to the nearest thousand.

What is the value of t in the equation?<br> -3t – 4 (t – 5) = 48

lys-0071 [83]

Step-by-step explanation:

-3t-4t+20=48

-7t=28

t=-4

5 0

3 years ago

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A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

so

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

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

$4x^2+60x-75=0$

so

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

8 0

3 years ago

The number of points Jadas basketball team scored in their games has a mean of about 44 and a standard deviation of about 15.7 p

Volgvan

Answer: Mean- Through an example of calculation below, we can say that the sample mean of Jada's basketball team score is 44.

Example: (42 + 44 + 46) / 3 = 44

Standard Deviation- The standard deviation of 15.7 points shows that the range of scores for Jada's basketball team is close to each other.

Step-by-step explanation:

3 0

3 years ago

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the height of the highest mountain that jen has climbed is 5.283 km. this year, she will attempt to climb a mountain that is 43

kipiarov [429]

Answer:

the answer is 5.326

Step-by-step explanation:

43 meters in kilometers is 0.043 so you add 5.283 and 0.043 together.

7 0

3 years ago

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Which of these is a zero of the polynomials p(y) = 3y^3 - 16 y - 8? * - 8 0 2 - 2

borishaifa [10]

The zero of polynomials is -2. The polynomials is p(y) = $3y^{3} - 16 y - 8$ .

According to the question,

The polynomials is p(y) = $3y^{3} - 16 y - 8$ . In order to find the zero of polynomials only if we substitute the value and polynomials become zero.

p(-2) = $3(-2)^{3} - 16 (-2) - 8$

= 3(8) + 32 -8

= 0

Hence, the zero of polynomials is -2. The polynomials is p(y) = $3y^{3} - 16 y - 8$ .

Learn more about polynomials here

brainly.com/question/1720316

#SPJ4

8 0

2 years ago