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2 years ago

Find the value of x

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

7 0

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area = 1/2 * base * height

108 = 1/2 * x * (x + 6)

x² + 6x = 216

x² + 6x - 216 = 0

x² + 18x - 12x -216 = 0 (Splitting the middle term)

x(x + 18) - 12(x + 18) = 0

(x + 18) (x - 12) = 0

Hence, we have 2 possible values for x: -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

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Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p

Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$f(x)=a(b)^{x}$

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

$f(x)=a(1.04)^{x}$

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

$156=a(1.04)^{1}$

Solve for a

$156=a(1.04)$

$a=\$150$

therefore

The value of the bond when Tyler's mom purchased it was $150

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3 years ago

Yousef borrowed last term for tuition, books, and student fees. This term he plans to borrow because he knows his classes will b

Len [333]

The estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000

<h3>Estimate the amount of money Yousef will borrow by first rounding to the hundred</h3>

The amount borrowed are given as:

Last term = 1690

This term = 2345

When the amounts are rounded to the nearest hundred, the amounts borrowed become:

Last term = 1700

This term = 2300

The total amount is then calculated as:

Total amount = Last term + This term

Substitute the known values in the above equation

Total amount = 1700 + 2300

Evaluate the sum

Total amount = 4000

Hence, the estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000

Read more about approximation at:

brainly.com/question/10171109

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1 year ago

A salesman has a base salary of $1,400. He receives an additional 3.5% commission on his total sales. Last month his total salar

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$1,400+(3.5% times x)=$2,800

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3 years ago

Read 2 more answers

H/2 + 21 - k if h=20 and k=89

Hoochie [10]

$\huge\text{Hey there!}$

$\mathsf{\dfrac{h}{2} + 21 - k\ if\ h=20\ and\ k=89}$

$\textsf{If h = 20 and k = 89, the SUBSTITUTE it for where they are in the equation}$

$\mathsf{\dfrac{10}{2}+21 - 89}$

$\mathsf{\dfrac{20}{2}= \bf 10}$

$\mathsf{\bold{10}+21 - 89}$

$\mathsf{10+21=\bf 31}$

$\mathsf{\bold{31}-89= \underline{ANSWER}}$

$\mathsf{= \bf -58}$

$\boxed{\boxed{\large\text{Answer: \huge \bf -58}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

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2 years ago

QUick question can you see my questions and answers 35 points.

kifflom [539]

Answer:

Step-by-step explanation:

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2 years ago