Answer:
Let's neaten up that equation a bit:
trapezoid area = height * (sum of the bases) / 2
height = 2 * area / (short base + long base)
height = 2 * 78 / (5 + 8)
height = 156 / 13
height = 12 inches
Source: https://www.1728.org/quadtrap.htm
Step-by-step explanation:
The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches
What is area of a trapezoid?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.
The area of a trapezoid is expressed as;
A = 1/2( a +b) h
where a and b are the parallel sides and h is the height.
Making h the subject
(a+b)h = 2A
h = 2A/( a+b)
h = 2A( b1 + b2)
A = 78 in²
a = 5 in
b = 8 in
h = 2 × 78/( 8+5)
h = 156/13
h = 12 in
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Five and 1/3÷2 2/3 simplified
Answer:
5 1/3 ÷ 2 2/3
Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).
5 1/3 = 16/3
2 2/3 = 8/3
16/3 ÷ 8/3
When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.
16/3 x 3/8
Multiply.
16/8
Divide by 8.
2
Hope this helps! :)
Pls help pls Pls pls pls thanks
Factor of 20 but not 10
2. Neither factors of 10 and 20?
Answer:
Step-by-step explanation:
Wander for the questions
Ima just say the question to: "The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Write and equation that could be used to find the value of x. Solve for x and then find the length of all three sides." 100 points!!!!
Answer:
x = 5
Congruent sides = 13 cm each
3rd side = 2(5) = 10 cm
Step-by-step explanation:
2(2x+3)+2x = 36
4x+6+2x = 36
6x = 36-6
x = 30/6
x = 5
Congruent sides = 2(5)+3 = 13
PLEASE HELP ME WITH THIS ASAP !!
Answer:
132cm^2
Step-by-step explanation:
SA of square based pyramid:
SA = 2bs + b^2
b = base
s = slant height
-> 2(6)(8) + 6^2
-> 96 + 36
= 132cm^2
Answer:
132
Step-by-step explanation:
[tex]tsa = {a}^{2} + 2al[/tex]
[tex]tsa = {6}^{2} + 2(6)(8)[/tex]
[tex]tsa = 36 + 96[/tex]
[tex] = 132[/tex]
If $3000 grows to $3540 after 3 yr, find the simple interest rate
Answer:
R = 6%
Step-by-step explanation:
We know that
SI = A - P
SI = 3540 - 3000
SI = $540
R = 100 × SI/P × T
R = 100 × 540/3000 × 3
R = 54/9
R = 6%
S O L U T I O N:
Here we've been provided with the information i.e
Amount (A) = 3540Principal amount (P) = 3000 Time period (T) = 3 yearsAnd we are asked to calculate simple interest rate (R) = ?
The standard formula to calculate is given by,
[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]
[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]
[tex]:\Rrightarrow\sf{S.I. =540}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]
[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]
[tex]:\Rrightarrow\sf{R = 6\%}[/tex]
The simple interest is 6%.1/2 x 1 1/3 x 2=?
please help on this
Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0
Answer:
b=17
Step-by-step explanation:
b=(45+6)/3
b=51/3
b=17
she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.
Find an angle betwwen 0 and 2pie that is coterminal with -19pie/10
Answer:
π/10
Step-by-step explanation:
α=-19π/10=-19π/10+2π=(-19π+20π)/10=π/10
Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot
Answer:
27ft-long
Step-by-step explanation:
good luck!!!
Rewrite the expression without parentheses.
13m−(−9m−4)
Answer:
22m+4
Step-by-step explanation:
Let's break it down:
13m+-1(-9m-4)
13m+(9m+4)
22m+4
Answer:
22m+4
Step-by-step explanation:
In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap
Answer: $8700.
Step-by-step explanation:
The equation we can use is p x r^years.
p is the original value ($12000).
r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.
IT is 2001 to 2004 so 3 years so we do r to the power of 3.
So we use 12000 x 0.9^3.
This is equal to 8748, to the nearest 100 dollars its $8700.
in Emma's supply box a pencil weighs 3ounces.her scissors weigh 3 ounces more than the pencil and a bottle of glue weigh three times as the scissors how much those the bottle of the glue weigh in pounds and ounces.
Answer:
18 Ounces which is equal to 1 pound and 2 ounces
Step-by-step explanation:
pencil weighs 3 ounces
scissors weighs =pencil+3 ounces =6 ounces
bottle of glue=3*scissors which is equal to 18 Ounces simple 16 ounces = 1 pound
Thanks
NEED NOW PLEASE..........
Answer:
The answer is 6 feet below the surface of the water.
Step-by-step explanation:
So the fish started out as 12m below the surface then went 3m down. If you add 12m and 3m you'll 15m, then minus with a 9m to came up with 6m. But the fish is still below surface, which gives you the answer of " 6 feet below the surface"
Hopes this helped you :)
I’ll mark you brainless if you give me the answer
Answer:
x=8
Step-by-step explanation:
Never crosses the y-axis so x equals 8
3 divided by 4 1/2 write in simplest form
[tex]3 \div 4 \frac{1}{2} \\ = 3 \div \frac{9}{2} \\ = 3 \times \frac{2}{9} \\ = \frac{2}{3} [/tex]
Answer:
[tex] \frac{2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Determine whether each sequence is arithmetic, geometric or neither. Explain.
200, 40, 8,...
Answer:
Geometric
Step-by-step explanation:
The ratios of the terms are constant
i need help 4 my brother
Answer:
$1.50
Step-by-step explanation:
pool: 46.50/6=7.75
beach: 46.25/5=9.25
9.25-7.75=1.5
if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)
Answer:
4
Step-by-step explanation:
PLEASE HELP ME WITH THIS! I NEED TO PASS THIS ASAP
Answer:
The Y-Int. is 60
Step-by-step explanation:
0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)
What is nx25=5x60 and how did you get the answer?
Hey there!
n * 25 = 5 * 60
25n = 5 * 60
25n = 300
DIVIDE 25 to BOTH SIDES
25n/25 = 300/25
CANCEL out: 25/25 because it gives you 1
KEEP: 300/25 because it helps solve for the n-value
NEW EQUATION: n = 300/25
SIMPLIFY IT!
n = 12
Therefore, your answer is: n = 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
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Answer:
yes
Step-by-step explanation:
If 9 − 3x < 54, then which of the following must be true?
F.
x < 15
G.
x > 21
H.
x < 21
J.
x < ‒15
K.
x > ‒15
If 9 − 3x < 54 then the following x > -15 must be true.
Inequalities is an expression used to show the non equal comparison of two or more variables.
Given the inequality:
9 − 3x < 54
Subtracting 9 from both sides of the equation:
9 - 3x - 9 < 54 - 9
-3x < 45
Dividing both sides of the equation by -3:
-3x/-3 < 45/-3
x > -15
If 9 − 3x < 54 then the following x > -15 must be true.
Find more on inequality at: brainly.com/question/241541
Enter the number that belongs in the green box
Answer:
8
Step-by-step explanation:
8
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
Answer: 13x4+g
Step-by-step explanation:
Help help help help math math
The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?
how can you find 72-25? circle all the correct answers
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Functions fg and hare shown on the graph. Y 10- 8 6 h 4- 2- x 10 -6 -4 - 2 2. 4 6 8 -10 -8 10 2- 4 -6 00 8- -10 Which of these functions have a domain of all real numbers? ОА. function fonly OB. functions f, g, and h oc functions fand gonly . OD functions g and h only
All the function graphed have domain of all real numbers.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
The domain of a function is defined by the graph's x-values (input values).
Similarly, Range is defined by the set of y-values (output values) in the function's graph.
Now, From the graph attached,
Domain of function 'f' : {x | x ∈ R}
Domain of function 'g' : {x | x ∈ R}
Domain of function 'h' : {x | x ∈ R}
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PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]
Answer:
(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)
Step-by-step explanation: