Answer:
Step-by-step explanation:
12(4 + 8x) + 12=0
48+96x+12=0
96x+60=0
96x=-60
x=-60/96
x=-0.625 or -5/8
Practice question — Given the trapezoid to the right find the length of legs in the following isosceles trapezoid
Given:
A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.
To find:
The legs of the isosceles trapezoid.
Solution:
Draw another perpendicular and name the vertices as shown in the below figure.
From the figure it is clear that the AEFD is a rectangle. So,
[tex]EF=AD=18[/tex]
Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,
[tex]AB=DC[/tex] (Legs of isosceles trapezoid)
[tex]AE=DF[/tex] (Vertical height of isosceles trapezoid)
[tex]m\angle AEB=m\angle DFC[/tex] (Right angle)
[tex]\Delta ABE\cong \Delta DCF[/tex] (HL postulate)
[tex]BE=CF[/tex] (CPCTC)
Now,
[tex]BE+EF+FC=BC[/tex]
[tex]2BE+18=24[/tex]
[tex]2BE=24-18[/tex]
[tex]2BE=6[/tex]
[tex]BE=3[/tex]
Using Pythagoras theorem in triangle ABE, we get
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex](AB)^2=(AE)^2+(BE)^2[/tex]
[tex](AB)^2=(4)^2+(3)^2[/tex]
[tex](AB)^2=16+9[/tex]
[tex](AB)^2=25[/tex]
Taking square root on both sides, we get
[tex]AB=\pm \sqrt{25}[/tex]
[tex]AB=\pm 5[/tex]
Side length cannot be negative. So, [tex]AB=5[/tex].
Therefore, the length of legs in the given isosceles trapezoid is 5 units.
Find the shaded area, please help ty (Geometry)
Answer:
The area of whole square is 396 sq mm
the area of triangle = 99
396 - 99 = 297 sq mm
Answer - 297
solve for x in the diagram below 3x 80 2x
Answer:
x= 16
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
The three angles added up will be 180 degrees in total.
3x+80+2x=180
5x+80=180
5x=100
x=20
Use the Parent function and Function 2 to choose the best statement comparing the graphs to each other.
Parent Function: y = 1/5x^2
Function 2: y = 1/5x^2 +7
A. Function 2's graph is shifted down 7 units from the Parent Function's graph.
B. Function 2's graph is shifted up 7 units from the Parent Function's graph.
C. Function 2's graph is shifted left 7 units from the Parent Function's graph.
D. Function 2's graph is shifted right 7 units from the Parent Function's graph.
Answer:
the answer is A&d
Step-by-step explanation:
I took the quiz and got 100
y = 3x + 8
8x + 4y = 12
It costs $520 to plant 4 acres of corn. How much would it cost to plant \large \frac{3}{5} acre of corn?
Answer:
$78 to plant 3/5 an acre of corn
Step-by-step explanation:
you can set up a fraction.
520/4 = x/6
Cross multiply
312 = 4x
Divide both sides by 4 equal to
x=78
$78 to plant 3/5 an acre of corn
solve for x and ___
help pls
Answer:
-10
10
Step-by-step explanation:
Answer:
sorry
Step-by-step explanation:
Find the volume of the cylinder to the
nearest hundredth. Use 3.14 for A.
Answer:
169.65 cm^3
Step-by-step explanation:
someone check my answer please
Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth.
A) 53.05 in3
B) 104.72 in3
C) 392.70 in3
D) 523.60 in3
Answer:
D
Step-by-step explanation:
it's D I don't have a full step by step
PLEASE HELP
I WILL MARK BRAINLIEST
Answer:
False
Step-by-step explanation:
They don't look alike
Lucy bought a broken toy. She repaired it and sold it to her friend. Lucy made the following list to help her calculate her profit. -Price paid for the toy: $5.25 -Cost to repair the toy: $1.33 -Selling price of the toy: $10.00 How much profit did Lucy make by selling the toy?
Answer:
6.08
Step-by-step explanation:
10.00 - 5.25 + 1.33
Brianna rolls two number cubes labeled 1–6. What is the probability that Brianna rolls a sum of 5?
Answer: [tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
Given
Brianna roll two cubes labeled 1-6
To get a sum of 5, sample space is
[tex]n(s)=\{(1,4),(4,1),(2,3),(3,2)\}[/tex]
No of the elements in [tex]n(s)[/tex] is 4
The total outcomes possible is 36
[tex]\therefore \text{Probability }P=\dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
Explain how to find the slope of a line that passes through (-2, -4) and (7, -3)
Answer:
1/9
Step-by-step explanation:
slope = rise/run
slope = (-3--4)/(7--2)=1/9
Keisha took out a loan for 10,500 and was charged simple interest at an annual rate of 8.8%. The total interest she paid on the loan was $462. How long was the loan for, in months?
Answer: 6 months
Step-by-ste
462=(10,500)(0.88)t
462=924t
462/924=t
0.5=t
So the loan was 0.5 year's
Since we assume that there are 12 months in a year, the loan was 0.5 .12=6 months
I need help. The due date is April 21, 2021 11:00pm
3=y
2y + 2x = 8
The Options:
A. (1,3)
B. (3,1)
C. (0,8)
D. (2,2)
Please help me with this problem!! thank you!
Answer:
its number 3.
Step-by-step explanation:
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 238.5 grams of this cereal
Answer: 147.87 calories
Step-by-step explanation:
Let the amount of calories in 238.5 grams of this cereal be represented by x.
Based on the information given, we can form an equation as:
110/177.4 = x/238.5
Cross multiply
177.4 × x = 238.5 × 110
x = (238.5 × 110) / 177.4
x = 147.87
Therefore, there are 147.87 calories in 238.5 grams of this cereal.
Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.
What was the amount of sales tax she paid on the tablet? Sales Tax: $
What was the total cost after sales tax that Leticia paid for the tablet? Total: $
Question 5 (1 point)
Which statement about segregation in Arkansas following Reconstruction is true?
The United States Supreme Court supported segregation.
O Governor Clayton put a stop to segregation.
Only public transportation was segregated
The federal government resisted efforts to segregate.
Answer:
Step-by-step explanation:
The answer is the United states Supreme Court suported segreation
Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?
y = 8 ∙ 3^x for x = 4 20 POINTS
Answer:
648
Step-by-step explanation:
8×3^4=648
8×81=648
Can someone help me oit
Answer:
The correct answer is letter D
This year, The Springfield Times had 11,322 subscribers. That is 85% more than they had last year, before the paper was bought out. How many subscribers did the paper have last year?
Answer:
The paper had 1698.3 subscribers last year.
Step-by-step explanation:
11,322 * 85% = 9623.7
11,322 - 9,623.7 = 1698.3
So, the answer is 1698.3
Hope this helps! :)
pls help me out what up
Answer:
Answers are below
Step-by-step explanation:
29. 3(4x-5) + 4(2x+6)
Solution: 20 + 9
30. -8(2a - 3b) - 5(6b - 4a)
Solution: 4 − 6
31. 10(5g + 2h - 3) - 4(3g - 4h + 2)
Solution: 38 + 36ℎ − 38
hope this helps :) Let me know if you need any further explanations.
Solve for X, show work PLS =)
½(4x+2)=2x-4
Of the possible outcomes in the sample space, how many times does the event of rolling a two occur?
Answer:
The event of rolling a two happens only once.
Step-by-step explanation:
sample explanation
the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?
Answer:14400
160
=
90
Step-by-step explanation: 90
⋅
π
=
90
π
→
If you are using an approximation such as 3.14 for
π
, multiply that by 90
Add
160
⋅
2
to the circumference since the lengths of the rectangle are also part of the perimeter.
160
⋅
2
=
320
90
π
+
320
Write any two irrational numbers between 0.7575496 and 0.784218972.
Answer:
2 rational numbers are:
0.766766676666766666.....
0.766766676666766666.....0.77896543567543120.....
5x + 8 = 23
Solve x.
Please
Answer:
X=3
Step-by-step explanation:
I got a calculator.
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
First you want to subtract 8 from 23
[tex]23-8=15[/tex]
Now take 15 and divide by 5
[tex]15/5=3[/tex]
3 is the final answer
