All categories

3 years ago

The area of the rectangle shown is 200 square units. Find the value of x?

Mathematics

2 answers:

Stels [109]3 years ago

6 0

Answer:

x=40

Step-by-step explanation:

8(1/2x + 5) = 200

4x + 40 = 200

4x = 160

x = 40

guapka [62]3 years ago

4 0

Answer: x = 40

Step-by-step explanation:

$A=l*w$

We have;

$Area=200units^2\\length=8units\\width=\frac{1}{2}x+5units$

Solve for w;

$w=\frac{A}{l} \\$

$\frac{1}{2}x+5=\frac{200}{8}$

$\frac{1}{2}x+5=25$

Subtract 5

$\frac{1}{2}x=25-5$

$\frac{1}{2}x=20$

Multiply by 2

$2*\frac{1}{2}x=20*2\\ x=40$

You might be interested in

A function f is given by the formula f(x)=a⋅ekx for constants a and k. we also know that f(4)=12 and f(7)=5. find numerical valu

masha68 [24]

The given function is

$f(x) = a e^{kx}$

And it is given that $f(4)=12$

On using this information, we will get

$12 = a e^{4k}$

And the other point is $f(7)=5$

Using this point, we will get

$5= ae^{7k}$

Dividing both equations, we will get

$\frac{12}{5} = e^{4k-7k}$

Taking ln to both sides

$ln( \frac{12}{5} ) = -3k$

$k = -0.29$

Performing back substitution ,

$12 = a e^{-0.29*4}
\\
a =38.28$

3 0

4 years ago

Plz help! ASAP! What is −15÷35 ? −25 −9 −19 −125

nasty-shy [4]

-15 divided by 35 is -0.428...

5 0

3 years ago

Read 2 more answers

Q. Find the sum of interior angle of the given polygon. Work out the measure of the missing angle. *

SpyIntel [72]

Step-by-step explanation:

Number of sides of the given polygon, n =5

Sum of interior angles =( n-2)180°

=( 5 - 2)180°

= 3*180°

= 540°

Missing angle, x = 540°- (100°+105°+110°+145°)

= 540°- 460°

= 80°

4 0

3 years ago

Can anyone solve these? Pre-Calc BC

viva [34]

Answer:

79. [7, 12], [1, 6]

80. The total revenue in the month of May is $11,575

81. The total revenue in the month of November is $4,630

82. Values obtained from the model and actual values are almost the same, so the given model is precise.

Step-by-step explanation:

79.

The domain of a function is the set of x-values that we are allowed to plug into our function.

The graph below represents f(x),

the graph that the domain of the first part of the function is [7,12]. The domain of the second part of the function is [1,6]. The solution is:

$f(x)=\left \{ {{-1.97x+26.3, 7 \leq x \leq 12} \atop {0.505x^{2} -1.47x+6.3, 1 \leq x \leq 6}} \right. \\\\$

80.

1 ≤ 5 ≤ 6, so we'll plug the value 5 in the function f(x) = 0.505x² - 1.47x + 6.3

f(x) = y = (0.505)(5)² - 1.47(5) + 6.3

f(x) = y = (0.505)(25) - 7.35 + 6.3

f(x) = y = 12.625 - 1.05

f(x) = y = 11.575

For x=5 which represents 5th month May, we got y=11.575

Therefore, the total revenue in the month of May is 11.575 thousands dollars, ie 11,575 dollars.

81.

7 ≤ 11 ≤ 12, so we'll plug the value 11 in the function f(x) = -1.97x + 26.3

f(x) = − 1.97(11) + 26.3

= − 21.67 + 26.3

= 4.630.

For x=11 which represents 11th month November, we got y=4.630 Therefore, the total revenue in the month of November is 4.630 thousands dollars, 4,630 dollars.

82.

Values obtained from the model are y=11.575 (x=5) and y=4.630 (x=11). Actual data values are y=11.5 (x=5) and y=4.4 (x=11)

By comparing these values, we can conclude that the model is precise, because these values are almost the same.

Learn more about Piecewise Functions here: brainly.com/question/13882670

3 0

2 years ago

A ball is thrown vertically in the air with a velocity of 90ft/s. Use the projectile formula h=−16t2+v0t to determine at what ti

Debora [2.8K]

Answer:

$t=1.7 \ sec\ , t=4.0\ sec$

Step-by-step explanation:

<u>Vertical Throw</u>

It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity

The projectile formula is given as

$h=-16t^2+v_0t$