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Work Shown:
17 + x^2 = 42
x^2 = 42-17
x^2 = 25
x = sqrt(25) or x = -sqrt(25)
x = 5 or x = -5
plzz help it's due today
Answer:
B
Step-by-step explanation:
Say the point below point B is point C.
AB belongs to triangle ABC.
To find hypotunuse AB, we need BC and AC so that we can use pythagorean thereom.
BC is already given --> 1.
AC is a diagonal of the rectangular prisms's base.
We already have 2 sides for the triangle that the base diagonal belong's to.
AC^2 = 4^2 + 6^2
AC^2 = 16 + 36 = 52
AC = √52
Now we have AC ad BC. We can find AB using pythagorean thereom.
AC^2 + BC^2 = AB^2
(√52)^2 + (1)^2 = AB^2
52 + 1 = AB^2
AB^2 = 53
AB = √53
option B
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
Pls help i'm struggling with this help pls!
Answer:
[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.
2w - 5 = 8
W =
Plllssssss helppoo
Answer:
w = 13/2 or 6.5
Step-by-step explanation:
2w - 5 = 8
Add 5 to each side
2w - 5+5 = 8+5
2w = 13
Divide by 2
2w/2 = 13/2
w = 13/2 or 6.5
Answer:
13/2
Step-by-step explanation:
the steps are in the screenshot attached.
Find the measure of LABC. (Hint: Solve for x first.)
1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a
Tell whether the triangle with the given side lengths is a right triangle.
28, 45,54
The answer is yes or no
Answer:
No
Step-by-step explanation:
help me plzzzzzzzzzzz
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
if def geh solve for x
Answer:
huh???
Step-by-step explanation:
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
What are the real roots of the function in the graph?
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?
it should be
9x+1y+8
^it could be just y instead of 1y
Answer:
the answer is = 9x+y+8
Step-by-step explanation:
...
factorise fully 3r+6r2
Answer:
3r(1 + 2r)
Step-by-step explanation:
3r + 6r^2
take common
3r(1 + 2r)
Answer:
3r(1+2r2)
Step-by-step explanation:
a + x = -3 với a = 5 . Tìm x
Answer:
the answer is if a=5
than, 5+x=-3
or,x=-3-5
therefore x=-8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex]a + x = - 3[/tex]
[tex]5 + x = - 3[/tex]
[tex] x = - 3 - 5[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...find the vertex and the x-inter of the function given below. y = x^2 + 2x + 6
Answer: Vertex = (-1, 5) x-intercepts = No real solutions
Step-by-step explanation:
Vertex = -2/2= -1
-1^2 + 2(-1) +6
1 -2 +6
-1 +6
=5
Discrminats= 2^2 -4(1)(6)
4 -4(1)(6)
4-24
= -20 (It's a negative so there's no real solutions, meaning there's no xintercepts/R0XS)
Solve for all values of x by factoring x² + 6x = 0
Answer:
Solution given;
x² + 6x = 0
taking x common
x(x+6)=0
either
x=0
or
x+6=0
x=-6
:.x=0 or -6.
Answer:
0 and -6
Step-by-step explanation:
Factor and find the zeros of the equation or graph the line to find the x-intercepts.
Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.
Answer:
Step-by-step explanation:
If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?
Answer:
25
Step-by-step explanation:
5x5=25
Hope this helps! :)
Answer:
25 boys
Explanation:
Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.
Can someone help me with this, Thx!
Answer:
x = 45
Step-by-step explanation:
x = 20 + 25
as x is vertically opposite to GED
and vertically opposite angles are equal
square in inches, x, and the perimeter of the square in inches, y. What is the constant of proportionality?
Answer:
y/x
Explanation:
The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.
Given constant of proportionality= k
Side of the square= x
Perimeter of the square= y
constant of proportionality=k=y/x
For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4
A quadratic polynomial whose zeroes are -6 and -7 is
Answer:
x² + 13x + 42 = 0
Step-by-step explanation:
(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42
Let p: A number is greater than 25.
Let q: A.number is less than 35.
If p ^ q is true, then what could the number be? Select two options.
Answer:
Here we do not have the options, so I will answer in a general way.
We have two statements:
p = A number is greater than 25
q = A number is less than 35
We want to have:
p ^ q is true
This means:
p and q are true.
So, we need to find a number such that both conditions are meet, so we need to find a number N such that
The number N is greater than 25 (from p)
The number N is less than 35 (from q)
So N can be any number between 25 and 35
So, some of the possible values of N are:
N = 26
N = 27
N = 28.6
N = 33
N = 34
Concluding, any number N ∈ (25, 35) can be a solution.
(Note that N = 25 and N = 35 are not solutions)
which value from the set{2,14,16,63}makes the equation n-7=9 true
Answer:
16.
Step-by-step explanation:
n - 7 = 9
Add 7 to both sides
n = 9 + 7 = 16.
Answer:
16
Step-by-step explanation:
Given
n - 7 = 9 ( add 7 to both sides )
n = 16
A second-hand car costs $2400. The price falls by 25% when it is sold again. How much is it sold for?
Answer:
1,800$
Step-by-step explanation:
25% is 1/4th of the total amount. So...
Divide 2,400$ by 4 and get 600
Now, subtract 600 from 2,400.
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?
Answer:
4*4=16+7=23
Step-by-step explanation:
4 inches x 4 weeks is 16 inches
7 + 16 = 23
What is the approximate area is the shaded sector in the circle shown below?
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.
Answer:
Rs 12,500
Step-by-step explanation:
the price before VAT = 100/10 × Rs 5000 =
Rs 50,000
the price before discount = 50,000 / 80%
= 50,000/0.8 = 62,500
so the discount amount = 62,500-50,000
= Rs 12,500
Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?
Answer:
Time when both earnings are equal = 5:00 Pm
Step-by-step explanation:
Given:
Total earning of Deanne = 6.50x
Total earning of Stephanie = 9.10(x -2)
Work started at 10:00 am
Find:
Time when both earnings are equal
Computation:
Total earning of Deanne = Total earning of Stephanie
6.50x = 9.10(x - 2)
6.5x = 9.1(x-2)
6.5x = 9.1x - 18.2
9.1x - 6.5x = 18.2
2.6x = 18.2
x = 18.2 / 2.6
x = 7 hour
So,
Time when both earnings are equal = Work started at 10:00 am + 7 hour
Time when both earnings are equal = 5:00 Pm
Can someone please help me
Answer:
Her monthly rate per month is $12
Step-by-step explanation:
On the 0 month is what she already had in her bank account.
Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.
Question 9 of 10
In the diagram below, AB is parallel to CD. What is the value of y?
A. 50
OB. 150
ООО
C. 30
D. 60
Answer:
30°
Step-by-step explanation:
it is the alternating angle.
