Answers
Answer : x = 4
Step-by-step explanation:
Area = 1/2 × base × height
Area= 200cm²
base = 5x
height = 5x
200cm² = 1/2 × base × height
200 = 1/2 × 5x × 5x
200 = 1/2 × 25x²
2( 200) = 25x²
400 = 25x²
16 = x²
4 = x
Answer: " x = 4 " .
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Step-by-step explanation:
______________________________________
The formula for the area of a triangle:
Area, "A" = (1/2) * base * height;
that is: A = (1/2) * b * h ;
From our given problem and image/diagram:
A = 200 cm² ;
b = 5x ;
h = 5x ;
We are asked to find the value for "x" ;
A = (1/2) * b * h ;
Plug in our known values:
200 cm² = (1/2) * 5x * 5x ;
Simplify:
200 cm² = (1/2)*(25x²) ;
200 cm² = (12.5)x² ;
⇔ (12.5)x² = 200 cm² ;
Divide each side by: " (12.5)" ;
(12.5)x² / (12.5) = (200 cm²)/(12.5) ;
to get: x² = 16 ;
Take the positive square root of each side of the equation; to get the value for "x" ;
⁺ [tex]\sqrt{x^{2} } =[/tex] ⁺ [tex]\sqrt{16}[/tex] ;
to get:
x = 4 .
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Good luck to you in your academic endeavors!
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Related Questions
Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.
Answers
See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
Learn more here: https://brainly.com/question/18718165
Look at the angle shown below.
V.
Estimate the measure of the angle.
Answers
the mass of the moon
Answers
Answer:
The answer is 10^24kg. 0.07346.
What is the interest on $450 loan at 7% for 2 year
Answers
Answer:
$63
Step-by-step explanation:
here,
principle=$450
rate=7%
time=2yrs
intrest=?
now,
as, we know,
intrest=(p×t×r)÷100%
intrest=($450×7×2%)÷100%
intrest=$6300÷100
therefore, intrest=$63#
Interest on given principal rate of interest and time is $63.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$450, rate of interest =7% and time period =2 years.
Now, simple interest = (450×7×2)/100
= 6300/100
= $63
Therefore, interest is $63.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ2
f(x)=(-3x+2) and g(x)=(2x^2-5x-1)
Answers
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches
Answers
Answer:
Step-by-step explanation:
Free brainlist and thanks!!!
Answers
Answer:
hi
Step-by-step explanation:
Hi there! Thank you for this!
Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25
Answers
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
Apply a 90 degree rotation to the point (1, 2)
Answers
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term
Answers
Sum of first 7 terms of an AP = 49.
Sum of first 17 terms = 289
Find:the sum of first 30 term
Solution:We know that,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ 7/2 * [ 2a + (7 - 1)d ] = 49
→ 2a + 6d = 49 * 2/7
→ 2( a + 3d ) = 14
→ a + 3d = 14/2
→ a + 3d = 7 -- equation (1)
Similarly,
→ 17/2 * [ 2a + 16d ] = 289
→ 17/2 * 2 * (a + 8d) = 289
→ a + 8d = 289 * 2/17 * 1/2
→ a + 8d = 17 -- equation (2)
Subtract equation (1) from (2).
→ a + 8d - (a + 3d) = 17 - 7
→ a + 8d - a - 3d = 10
→ 5d = 10
→ d = 10/5
→ d = 2
Substitute the value of d in equation (1).
→ a + 3 * 2 = 7
→ a = 7 - 6
→ a = 1
Now,
Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]
→ S(30) = 15 (2 + 58)
→ S(30) = 15 * 60
→ S(30) = 900
Therefore, the sum of first 30 terms of the given AP is 900.
I hope it will help you.
Regards.
answer refer in pic siso
Rhode Island has a population of about 60,000 8th graders in the state. New Jersey has a total of 920,000 8th graders. Calculate the difference in Rhode Island and New Jersey's state's population of 8th graders. Express your final answer in scientific notation.
Answers
Answer:
8.6 × 10^5
Step-by-step explanation:
New Jersey 8th graders = 920,000
Rhode island 8th graders = 60,000
Difference in Rhode island 8th graders and New Jersey 8th graders population
= 920,000 - 60,000
= 860,000
Answer in scientific notation
860,000
The decimal point will move 5 places in
= 8.6 × 10^5
A number greater than -5 as an inequality
Answers
Answer:
n > -5
Step-by-step explanation:
A rectangle has an area of 2,340 sq ft and a width of 45 ft. What is its length ? What is the perimeter
Answers
Answer:
length is 52 ft
perimeter is 194
Step-by-step explanation:
2340/45 = 52
2(52+45) = 194
The Rodriguez family drinks 4.5 gallons of milk per week. The Bentley family drinks 1.2 gallons of milk each day. What is the difference, in liters, between the amounts of milk the families will drink in one week?
(1 gallon is approximately 3.8 liters)
A. 14.82 liters
B. 17.1 liters
C. 22.45 liters
D. 31.92
Answers
Answer:
A.
Step-by-step explanation:
у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)
Answers
Answer:
whats that.............
SOME 1 HELP WITH 12 ASAP !! plzz
Answers
Answer:
10%
Step-by-step explanation:
40 times 1% equals 4 (inverse operation)
plz help me!! Polynomial Long Division (Level 2)
Answers
Explanation:
I got a picture to show
if x=21 then y=49. What is the value of x when y=56?
Answers
Answer:
24
Step-by-step explanation:
set them up as a fraction.
21/49=x/56
cross multiply: 21*56=49x
1176=49x
divide both sides by 49
x=24
Answer:
28
Step-by-step explanation:
notice that when x=21 thats 3x7=21
then when y=49 thats 7x7
so when y=56 that's 8x7
notice there is a patter of 7 being used? there are probably a lot of other patterns that would also work.. but. if your class is working on multiplying by 7 , then this is probably the right pattern.
from the above pattern, then,
x=4x7 when y=56
x=28
What is the slope of 4x + 3y = −24?
Answers
Answer:
slope is 4/3x
Step-by-step explanation:
This year, there were 25% fewer sunny days than last year. That’s my question.
Answers
If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.
What is the equation of the line ? and how do i know ?
Answers
M gradient so count how many squares per one line
C = y intercept (7.5) here it looks
Just sub in those
Answer:
The equation of the line is y=-16x+7
Step-by-step explanation:
I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.
Anyways, you need to find the slope because you already know the y-intercept, 7.
Slope=rise/run between two pretty points( A point that lines up on the grid)
So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answers
Answer:
.
Step-by-step explanation:
HELP HAVING BAD DAY
Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?
Answers
===========================================
Work Shown:
t = time it takes to go from Jackie's house to her friends house
distance = rate*time
d = 30*t
This represents the distance they travel if they go 30 mph
Then when going back home, they take 6 minutes longer
6 minutes = 6/60 = 0.1 hours
So they take 0.1 hours longer meaning the t updates to t+0.1
d = r*t
d = 25*(t+0.1)
d = 25t+2.5
This represents the trip back home.
Since the distance d doesn't change, we can equate the two right hand sides and solve for t
30t = 25t+2.5
30t-25t = 2.5
5t = 2.5
t = 2.5/5
t = 0.5 hours = 30 minutes
d = 30t = 30*0.5 = 15 miles
Explication:
I had the same question and this was right
Brooke purchased 16 boxes of a popular novel to sell at her bookstore. If each box weighs 29.5 pounds, what is the total weight of all of the boxes of books? A. 483.8 pounds B. 456 pounds C. 472 pounds D. 488 pounds
Answers
Answer:
C. 472
Step-by-step explanation:
16x29.5=472
hey if anyone understands do you you think you could help i'm struggling a little bit :(
Answers
Answer:
2x=18
x=9
Step-by-step explanation:
So, to start you subtract 12 from 30 to get 18.
then 18 divided by x gives you 9
so X=9
Answer:
2x = 18 and x = 9
Step-by-step explanation:
i've done it before so i know its right
Find the slope of the line
Answers
Answer:
Slope= -5/3
Step-by-step explanation:
Maybe some help? pls ?!
Answers
Answer:
Irrational
Step-by-step explanation:
Answer:
it is d irrational
Step-by-step explanation:
You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answers
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me
Answers
Answer:
Ah Thanks so much
Step-by-step explanation:
I am so bored by the way...
Answer:
daaslkfnsdlfknsdfnsdnfsdf
Step-by-step explanation:
Can someone help me create a slope story???
Answers
Answer:
I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.
Step-by-step explanation:
y axs = elavation
x axs = time
Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(