Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
GEOMETRY PLEASE HELP!!! What is the surface area of the square pyramid shown if the height is 15 m?
Answer:
The answer is 180 cm.......
Pls do 4 and 5 for me <3
Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))
Answer:
given;
f(x) = 5x+3
g(x) = x²-3.
Step-by-step explanation:
a f(4)=5×4+3=23
b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12
C). g( f (2))=g(5×2+3)=13²-3=166
calcula la altura de la torre latinoamericana hacia al colocarse a 104 metros de su base se ve la punta de la antena con un ángulo de 60 grados
Answer:
en verdad no sé la respuesta de esta pregunta
I need help with this math problem
Plz help plz help will mark brainilest
Answer:
BC=4
Step-by-step explanation:
Use the distance formula
[tex] \sqrt{} (7 - 3) ^{2} + (2 - 2) ^{2} [/tex]
[tex] \sqrt{16} [/tex]
4
11.) Jim took out a loan for $500. The
rate is 8%. How much does Jim owe
in interest if he pays it back in 4
years?
The amount Jim owes in interest if he pays it back in 4 years is $160
Calculating Simple interestFrom the question, we are to calculate how much Jim owes in interest
Using the simple interest formula,
I = PRT
Where I is the interest
P is the principal
R is the rate
and T is the time
From the given information,
P = $500
R = 8% = 8/100 = 0.08
T = 4 years
Putting the parameters into the formula, we get
I = 500 × 0.08 × 4
I = $160
Hence, the amount Jim owes in interest if he pays it back in 4 years is $160
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What expression is equivalent to 2 m plus m plus m
Answer: 2m+m+m is really the same thing as saying m+m+m+m, or 4m. Use whatever you like as the expression :)
A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200
Answer:B
Step-by-step explanation:
$825
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? (1 gal= 3.785 liters)
Answer:
Carl buys 132.475 liters of water.
Step-by-step explanation:
Since Carl buys seven 5-gallon jugs of water multiply 7 by 5 to know how many gallons of water Carl bought in total.
7(5) = 35 Gallons
Now that you have the total amount of gallons of water Carl bought you have to convert 35 gallons to liters given that 1 gallon = 3.785 liters by multiplying 35 by 3.785.
35(3.785) = 132.475
So Carl bought 132.475 liters of water.
Though that is the answer based on what is given a gallon is actually equal to 3.78541 liters so the exact answer would be 132.489 liters of water.
1
2
3
4
5
6
8
g
10
CO
2a
Which expression is equivalent to 364a6b7c9?
bo(142?b°c
4a?b?c°(16)
Baºb°c" (Vb0
Ba?b%cº(PVD
In QRS the measures of S = 90° and the measures of Q = 64° and RS = 16 feet find the length of QR to the nearest 10th of a foot
Answer:
vfd
Step-by-step explanation:
ddf
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was −$48. How much was one late fee??
Answer:
$12
Step-by-step explanation:
His 4 late fees took -48 so I just divided the amount to the number of fees
Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.
Answer:
0.555km p/h
shown as 555m p/h
Step-by-step explanation:
First we convert km to meters
6k = 6000m
Time = distance / rate.
20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr
then 3.33 / 6 = 0.555 km = 555 meters p/h
Rearrange the equation so n is the independent variable.
3m-2n=12
Answer:
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
Step-by-step explanation:
we are given a equation
we want to make n the independent variable
to do so
move -2n to right hand side and change its sign:
[tex] \displaystyle 3m = 12 + 2n[/tex]
divide both sides by 3:
[tex] \displaystyle m = \frac{12 + 2n}{3} [/tex]
further simplification is needed:
[tex] \displaystyle m = \frac{12 }{3} + \frac{2n}{3} [/tex]
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
now m depends on n and n can be any value so we have rearranged n to independent variable
and we are done!
Answer:
M= 3/2n+4
Step-by-step explanation:
Select the correct answer from each drop menu. A functions with the domain {2,3,4} has a specific range. Determine the function and its range. The function with the domain {2,3,4} is, and it's range is
Domain {2,3,4} is 3x+2 or x+1
range is {2,6,8} or {8,11,14}
Answer:
2,6.8, the range is 2
Step-by-step explanation:
1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)
Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.
For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.
When we subtract 28 from 16, we get -12.
But if we add 28 to -12, we get 16 again.
So we have two values of x that satisfy the equation: x = -4 and x = 4.
b. We can solve the equation by adding 28 to both sides:
(-4)² - 28 + 28 = 8 + 28
Simplifying, we get:
(-4)²= 36
Taking the square root of both sides, we get:
-4 = ±6
So the two solutions are:
x = -4 + 6 = 2
x = -4 - 6 = -10
Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.
To learn more on Equation:
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What is the reciprocal of 14?
Reciprocal of 14 is 1/14.
Beth wants to buy a radio for $36. She
gives the cashier $40. What is her
change?
Answer:
4
Step-by-step explanation:
What is the area of the real object that the scale drawing models?
Scale factor: 1:4
Area =
6 square cm
Scale drawing
Object
O A. 24 square cm
O B. 96 square cm
O C. 64 square cm
O D. 48 square cm
Answer:
96
Step-by-step explanation:
I just did it on a p 3 x
Find the value of x in the triangle shown below. 6 10
(d) Work out
1
4 of 28 kg.
Step-by-step explanation:
[tex]here \: is \: your \: soution \\ \\ (1 \div 4) \times 28 \\ \\ 28 \div 4 = 7 \\ \\ 7 \: is \: your \: answer \\ \\ hope \: it \: help[/tex]
How to write 4 508 300
in words?
Answer:
four million five hundred eight thousand three hundred
Step-by-step explanation:
your welcome!
TO
Rewrite the following equation in slope-intercept form.
5x + 4y = 3
A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.
Answer:
the volume of the rectangular swimming pool is 660 meters cubic
Step-by-step explanation:
you multiply 15x11x4
HELP WILL MARK BRAINLIEST ANSWERRRRRR IF GOTTEN RIGHT
Given f(x) = 5 - x?, find f(3).
Answer:
the answer is 2
Step-by-step explanation:
just plug in the 3 for x and perform the neccessary calculation.
Answer:
2
Step-by-step explanation:
if x is 2 that means 2 + 3 = 5
Give me brainllest Plz
Drag the boxes to match the answers
Answer:
hi
Step-by-step explanation:
this is too hard for me but i am sure u will get it :D
What is the probability of choosing a heart or a spade from a deck of cards? Type your answer as a fraction.
Answer:
26/52 or 1/2
Step-by-step explanation:
There are 13 cards per suit therefore there must be 26
Answer:
Step-by-step explanation:
13/52