The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
Factory the expression 9X +27 using the GCF
Answer:
9(x + 3).
Step-by-step explanation:
The GCF is 9 so we divide the 2 terms by 9 to get the other factor.
9x + 27
= 9(x + 3).
7 less than twice a number is greater than 19
Answer:
Step-by-step explanation:
if the number is x
2x - 7 greater than 19
= 2x greater than 26
300 students attend ridewood junior high school 5% of students bring their lunch to school everyday how many students bring their lunch on Thursday ?
Answer:
300 x .05= 15
..............
I need help finding the slope
y2- y1 / x2 - x1
3 - -2 / 1 - -3
5/4
So, 5/4 or 1.25.
solve 4(3r + 4) - 6(r + 1) =22
Answer:
r = 2
Step-by-step explanation:
4(3r + 4) - 6(r + 1) =22
12r + 16 - 6r - 6 = 22
6r = 12
r = 2
State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomialstate the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial
Answer:
common factor: 5x
5x (7x - 2)
Step-by-step explanation:
first, simplify the polynomial:
5x² + 30x² - 10x = 35x² - 10x
common factor: 5x
5x (7x - 2)
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = 2x + 4
B. y = -4x - 2
C. y = -4x + 2
D. y = 2x - 4
Your answer would be D
Find the value of x.
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
Alternative working:
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Evaluate each expression
7 + 9=
43 - 5=
The Vikings basketball team scored the points shown below in their last 7 games.
80, 89, 89, 92, 104, 104, 107
Which box plot best represents the Vikings’ basketball scores?
If its a diagram pick the answer C
Answer:
C
Step-by-step explanation:
I got it right.
Solve for the variable in 6/18 = x/36
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67
OS HELP math math Algebra
Answer:
P=1590
Step-by-step explanation:
Write a porportion to find how many points a student needs to score on the test to get the given score
4) test worth 50 points; test score of 40%
6) test worth 80 points; test score of 80%
streets A and B run parallel to each other. The measure of angle 6 is 155 degrees. What is the measure of angle 7?
Answer:
m<7 = 155
Step-by-step explanation:
<6 = <7 due to vertical angle thm
find the value of given expression
[tex]x = 4 \times 2[/tex]
Answer:
8
Step-by-step explanation:
[tex]x = 4 \times 2 \\ x = 8[/tex]
Answer:
X=4x 2
x=8
I hope this help you
Add (8x - 7) + (6x + 8). simplify your answer.
Answer:
14x+1
Step-by-step explanation:
you combined like terms
8x and 6x are like terms so 8x+6x=14x
8 and (-7) are like terms so 8+(-7)=1
Answer: 14x+1
Step-by-step explanation:
What is the experimental probability of rolling a 1
Answer:
1/6
Step-by-step explanation:
Solve the following algebraic expressions
1) n(n-4) -n(5-n)
2)
Answer:
[tex]n {}^{2} - 4n - 5n + n { }^{2} \\ = 2n {}^{2} - 9 [/tex]
Hope it helps
Answer:
[tex]\huge\boxed{1) 2n^2-9n}[/tex]
[tex]\huge\boxed{2) 6c\³ + 4c\²}[/tex]
Step-by-step explanation:
Part 1:
= n(n-4)-n(5-n)
By distributive property
= n² - 4n - 5n + n²
= 2n² - 4n - 5n
= 2n² - 9n
Part 2:
= 4c(3c-c²)-2c²(4-5c)
Distributing brackets
= 12c² - 4c³ - 8c² + 10c³
Combining like terms
= 12c² - 8c² - 4c³ + 10c³
= 4c² + 6c³
= 6c³ + 4c²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.
Answer:
£5787.50
Step-by-step explanation:
mark brainliest
a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?
Answer:
$11
Step-by-step explanation:
to find the difference you subtract
56 - 45 = 11
PLEASE HELP DUE SOON!! WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!
Rewrite without absolute value:
y=|x-3|+|x+2|-|x-5|, if -2
Answer:
y=2, y=12
Step-by-step explanation:
y = |-2-3|+|-2+2|-|-2+5|
y = 5+0-3
y=2
or you can try
y=12
A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?
Answer:
1/52 OR 0.01923076923 (unusual)
Step-by-step explanation:
So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.
Hope that helps!
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
Carlos landlord added a markup of 6.5% to their October rent . Carlos rent would have been 750 what is the cost of his rent after the markup
Answer:
c
Step-by-step explanation:
dont know if i am right
I need help please, I will give brainliest to the first 2 people
Answer:
B
Step-by-step explanation:
they are parallel so it means none
Devonte opens a savings account by making a deposit of $249.45. Every week, he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account w weeks after the account is opened? 249.45 w + 31.75 249.45 w minus 31.75 249.45 + 31.75 w 249.45 minus 31.75 w
Answer:
249.45 + 31.75w
Step-by-step explanation:
Opening deposit = $249.45
Weekly deposit made into account = $31. 75
Amount of money which will be in account w weeks after opening :
Opening deposit + (weekly deposit * number of weeks)
Amount after w weeks :
$249.45 + (31.75 * w)
$249.45 + 31.75w
Answer:
C
Step-by-step explanation:
converting measures 48ft= yd
Answer:
48 Feet (ft) 16.000 Yards (yd)
1 ft = 0.333333 yd 1 yd = 3.000000 ft
Step-by-step explanation:
For what range of checks were checking account a long's bank generate more earnings income then one at fellows bank
Answer:
Step-by-step explanation:
Which exponential function matches the table?
Answer:
B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex]
Step-by-step explanation:
If you substitute 0 and 1 into each given exponential function. The first, second and fourth value with 0 substituted will give 27 as such, so we can eliminate the third exponential function. But, if you substitute 1 into all of the remaining possible exponential functions, the only function that will give you 9, when x = 1 is substituted, is B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex].
I hope this helps you!! ^-^