MATHEMATICS HIGH SCHOOL

What is the area of the trapezoid?8 m
110 m
12 m
80 m2
96 m2
100 m2
120 m2

Answers

Answer 1

Answer:

Answer:

100

Step-by-step explanation:

the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.

Answer 2

Answer:

Answer:

I think the answer is 96

Step-by-step explanation:

I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.

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Find the balance in the account. $700 principal earning 5%, compounded monthly, after 9 years

Answers

Answer: The balance in the account after 9 years is $1085.93.

Step-by-step explanation:

Since we have given that

Principal amount = $700

Rate of interest = 5%

Number of years = 9

Since we have mentioned to use "Compound Interest " method:

As we know the formula for above i.e.

$A=P(1+(r)/(100))^n\n\nA=700(1+(5)/(100))^9\n\nA=\$1085.93$

Hence, the balance in the account after 9 years is $1085.93.

A=700×(1+0.05÷12)^(12×9)
A=1,096.79

Mags is 2 years older than vector . if mags is 34 years old how old is vector

Answers

Answer:

Vector is 32 years old.

Step-by-step explanation:

As it is given that Mags is 34 years old and he is 2 years older than Vector.

Since Mags is 2 years older than Vector, Vector's age is 2 year less than Mags.

therefore we subtract 2 years from the age of Mags.

= 34 - 2 = 32 years

So Vector is 32 years old.

Answer: it is

Step-by-step explanation:

Vector is 32 years old I juts did the quiz

How many solutions exist for the given equation?

1/2(x + 12) = 4x – 1

Answers

$(1)/(2) (x+12)=4x-1$

Multiply both sides by 2 :

$(1)/(2)(x+12)*2 = 4x*2-1*2$

$x+12=8x-2$

$x+12-12=8x-2-12$

$x=8x-14$

Subtract 8 x from both sides:

$x-8x=8x-14-8x$

$-7x=-14$

Divide both sides by -7 :

$(-7x)/(-7) = (-14)/(7)$

$x = (14)/(7)$

$x = 2$

1 solution

hope this helps!

Answer:

B.one

Step-by-step explanation:

there is only one solution to the problem.

If sqrt x=-7 then x=-49
true or false

Answers

False.

IF √x = -7.

Square both sides

(√x)² = (-7)²

x = (-7)(-7)

x = 49

x will equal 49

False is your answer

hope this helps

A 19-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. If the shorter piece is x feet long find the lengths of both peices

Answers

here,
let the longer piece be y and shorter piece be x
now,
according to the question,
x+y=19 .............................equation (1)
y=4+2x ...............................equation (2)

from equation 1
x+y=19
x+4+2x=19 substituting the value of y from equation 2
3x=19-4
x=(19-4)/3
x=5

now
substituting value of x in equation (2)
y=4+2(5)
y=4+10
y=14

so , the longer piece is 14 foot and the shorter piece is 5 foot

Final answer:

The shorter piece of string is 5 feet long and the longer piece is 14 feet long. These lengths were determined by setting up and solving an equation based on the given facts.

Explanation:

In this problem, we need to find the lengths of two sections of a 19-foot piece of stringthat was split such that the longer piece is 4 feet longer than twice the length of the shorter one. Let's denote the length of the shorter piece as 'x'. Thus, the longer piece of string is 2x+4 (twice the length of the shorter piece, plus an additional 4 feet).

Next, we set up an equation based on the information given: the sum of the lengths of the shorter and the longer sections of string equals 19 feet, so x + (2x+4) = 19. Simplify the equation to 3x + 4 = 19, subtract 4 from both sides to give 3x = 15, and then divide by 3 to solve for x, the length of the shorter piece, which is 5 feet. Therefore, the longer piece, by substituting x=5 in 2x+4, is 14 feet.