9514 1404 393
Answer:
4 ft = height
10 ft = base
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Filling in the given value, we get the relation ...
20 = 1/2bh
40 = bh
We know the factors of 40 are ...
40 = 1×40 = 2×20 = 4×10 = 5×8
Of the numbers that area available, only the pair 4×10 will give the desired result.
The height is 4 ft; the base is 10 ft.
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr. Juarez will have in his account at the end of 3 years?
Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
[tex]A=P (1+rt)[/tex]
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!
Help
Determine which is the better buy. Show all work! Explain.
Hand soap: A B
Cost: 1 4
Ounces 8 50
Answer:
Soap A is a better buy.
Step-by-step explanation:
Soap A is 1 dollar with 42 more ounces.
Soap B is 4 dollars with 42 ounces less.
You should be paying 1 dollar for 42 ounces more than 4 dollars for 42 ounces less.
Let me know if that helps!
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)
Solve for x in the following equations: 9x + 10y = 17 when y = 8
A) 8
B) -7
C) 5
D) 10
Answer:
-7
Step-by-step explanation:
Answer:
9x+10*8=17
9x=17-80
9x= -63
X= -63/9
so X=. -7
hope it helps
Answer this question to get marked as barinliest!!!!
Amanda buys 4 tickets to the baseball game for $24 each. Which equation
shows the closest estimate of the total amount Amanda spends?
Answer:
4x24
Step-by-step explanation:
Answer:
4x24= 96, Amanda spends 96 dollars on tickets
Step-by-step explanation:
4x24=96
4 tickets x 24 dollars each
4x24
96
answer but no links. quickly please
Answer:
1. 18
2.3 and 3/4
3.6 and 1/4
Step-by-step explanation:
3 by 6 equals 18 since 12 divided by 2 is 6
15 divided upon 4 is 3.75 or 3 3/4
50 divided by 8 equals 6.25 or 6 1/4
In the given figure x = 145º. What theorem can be used to prove the lines p and a
are parallel?
A) Alternate interior angles converse theorem
B) Same side interior angles converse theorem
C) Alternate exterior angles converse theorem
D) Corresponding angles converse theorem
Answer:
C) Alternate Exterior Angles Converse Theorem
Step-by-step explanation:
a movie theater has 15 rows of State each rows have 24
Find the surface area of the triangular pyramid
Answer:
[tex](16 \times 13 \times 0.5) \times 4 + 13 \times 13[/tex]
How do I do these two? I’m so confused-
Answer:
1: 58
2: 140
Step-by-step explanation:
For blank 1:
arc SU is 180, this is because its the angle of the diameter.
arc TU is 122, because its the double of angle S, so 61 times 2 is 122.
- We know that a circle is 360 degrees, so 180 + 122 is 302
-Therefore 360-302=58.
For question 5:
Arc CA is 180, because it's the angle of the perimeter
Arc BC is 40, because its the double of angle A, so 20 times 2 is 40.
- We know that a circle is 360 degrees, so 180 + 40 is 220.
- Therefore 360-220=140
Simplify the expression to a polynomial in standard form: (4x-3)(-2x^2-7x-5)
How to solve your problem
(4−3)(−22−7−5)
(4x−3)(−2x2−7x−5)(4x-3)(-2x^{2}-7x-5)(4x−3)(−2x2−7x−5)
Simplify
1
Distribute
(4−3)(−22−7−5)
(4x−3)(−2x2−7x−5){\color{#c92786}{(4x-3)(-2x^{2}-7x-5)}}(4x−3)(−2x2−7x−5)
4(−22−7−5)−3(−22−7−5)
2
distribute
4(−22−7−5)−3(−22−7−5)
4x(−2x2−7x−5)−3(−2x2−7x−5){\color{#c92786}{4x(-2x^{2}-7x-5)}}-3(-2x^{2}-7x-5)4x(−2x2−7x−5)−3(−2x2−7x−5)
−83−282−20−3(−22−7−5)
3
−83−282−20−3(−22−7−5)
−8x3−28x2−20x−3(−2x2−7x−5)-8x^{3}-28x^{2}-20x{\color{#c92786}{-3(-2x^{2}-7x-5)}}−8x3−28x2−20x−3(−2x2−7x−5)
−83−282−20+62+21+15
4
Solution
−83−222++15
I know this looks like a lot but its just how you solve your problem.
therefor, your answer is
Solution
−83−222++15
Hope this helps!
Have a great day!
-Hailey
5. If EF = 4x+11, FG = 28, and EG=87, find the value of x, the drawing is not to scale
Answer:
Step-by-step explanation:
5)
Oh these are tricky ways to see the question in different ways, it's okay that you need help on this b/c it's kinda like a mind puzzle.
so first notice that EG is the total length
87 = something
next notice that we have two parts FG and EF
if those are added together we get the total or EG
so add the parts and set the equal to the total
87 = EF + FG
87 = 4x + 11 + 28
now we can solve for x, recall solving me "isolate x" :P soo
87-28-11 = 4x
48 = 4x
12 = x
yay
6)
EG = EF + FG
15 = 3x - 17 + 2x-8
15+17+8 =3x +2x
40 =5x
8 = x
yay
so do you see how to do those now? :?
Can someone tell me how to answer this?
Please help!! it's due in an hour, If you answer Street F, I will mark you the Brainlyist answer
Answer:
y=-3/4+9
Step-by-step explanation:
First off we know that they are parallel, so they have to have the same slope.
y=-3/4
that is all we have for now, so we have to find b, the y intercept
we know that Street F passes through the point (4,6), so we graph that.
now we look at the graph and we can see that it look like we can translate it up 7 units.
this will give us the equation
y=-3/4+9
this is the answer hope this helps!
An animal rescue center has an adoption event. People adopt 84 animals at the event, which is 70% of the animals at the center. How many animals were at the center before the adoption event? Explain your reasoning
Answer:
120
Step-by-step explanation:
Find how many were there before the adoption event by dividing 84 by 0.7
84/0.7
= 120
So, there were 120 animals before the adoption event
HELP ME PLEASE
A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce. How much pepper and salt combined are needed in order to make 5 pots of spaghetti sauce?
Answer:
11 1/4 teaspoons
Step-by-step explanation:
So 3/4 + 1 1/2 teaspoons are in one pot, which means 5(3/4 + 1 1/2) teaspoons are in 5 pots.
5(3/4 + 1 1/2)
5(2 1/4)
10 5/4
11 1/4
Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is, 45 / 4
We have to given that,
A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce.
Here, Total amount of pepper and salt for each pot of spaghetti sauce is,
3/4 + 1 1/2
3/4 + 3/2
Make denominator same by taking LCM of 4,2 which is 4.
3/4 + 6/4
(3 + 6) / 4
9/4
Therefore, Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is,
5 x 9/4
45 / 4
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Solve.
1.5d + 3.25 = 1 + 2.25d
d= (Blank)
This is science btw(i couldn't find the category so i put a popular category lol). Offering brainliest!!!
Answer:
1. Abiotic is the third answer
2. Biotic is the first answer
3. flora is the second answer
4. fauna us correct
Step-by-step explanation:
If
3/12 x 6 with explanation!
Answer:
24 is the ans...................
Answer:
1 1/2
Step-by-step explanation:
3/12 * 6
6 is simply 6/1 so
3/12*6/1
multiply from side to side so
3*6=18
and
12*1=12
18/12
simplify to a mixed number
18 goes in 12 once with a remainder of 6, or 18-12=6 so
1 6/12
6/12 can both be simplified by 6 so you divide both by 6
6/6=1 and 12/6=2
1/2
add it back to the whole number
1 1/2
What is m∠1? Please help
Answer:
∠ 1 = 102°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle , then
∠ 1 = 33° + 69° = 102°
Answer:
102
Step-by-step explanation:
exterior angle rule:
an exterior angle of a triangle is equal to the two opposite interior angles
so m1= sum of opposite interior angles (69 and 33)
69+33=102
so m1 = 102
Urgent!!
Sara sells a new car worth $46,000. She earns a 5% commission based on her sales. How much commission did
Sara earn?
Answer:
Sara earned a commission of $2,300.
Step-by-step explanation:
To find the answer we will first divide 5 by 100 and we get 0.05. Now multiply $46,000 by 0.05 and we get $2,300. Therefore, $2,300 is our answer.
A local hamburger shop sold a combined total of 375 hamburgers and cheeseburgers on Friday. There were 75 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday? hurry please lol
Answer: 225 hamburgers were sold on friday
Step-by-step explanation:
Let x represent number of hamburgers
and x-75 represent cheeseburgers
such that total hamburgers and cheeseburgers sold on Friday equaling 375 can be represented as
x + (x-75) =375
2x-75=375
2x=375+75
2x =450
x=450/2=225
Hamburgers =225
cheeseburgers= x-75=225-75=150
A small business office uses 1,613 pieces of paper every 4 days. Which is a reasonable estimate for the pieces of paper the business office uses in 7 days?
A)6,400
B)11,200
C)2,800
D)3,200
Answer:
The answer is c.
Step-by-step explanation:
Hope this helps =)
Answer:
C. )2,800
Step-by-step explanation:
Help me ASAP!!!!!
See pic attached
Answer:
PQ ≈ 10.6 cm
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)
PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex]
≈ 10.6 ( to 1 dec. place )
Which of the following statements are true for rectangle OLMN? select all that apply
Answer:
The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.
Hope this helps.
Find the volume of a rectangular prism with the dimensions:
length: 4 yd
width: 5 ft
height: 11 ft
(keep in mind, that 1 of them is yards and the rest are feet)
Answer:
220
Step-by-step explanation:
V= whl = 5 · 11 · 4 = 220
Find the volume of a rectangular prism with the dimensions:
length: 4 yd
width: 5 ft
height: 11 ft
Answer:-Given:-[tex] \bullet [/tex] Length of a rectangular prism = 4 yards = 4 × 3 = 12 feet.
[tex] \bullet [/tex] Breadth of a rectangular prism = 5 feet.
[tex] \bullet [/tex] Height of a rectangular prism = 11 feet.
To Find:-The volume of a rectangular prism.
Solution:-We know,
Formula of Volume of a rectangular prism is (Length × Breadth × Height) cubic units.
So, Volume = (12 × 5 × 11) cubic feet
Volume = 660 cubic feet
The volume of a rectangular prism is 660 cubic feet. [Answer]Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks for $45.00. The sales tax rate is 8.5%. How much did he pay? and how did you find it?
Step-by-step explanation:
shirts=3×18=$54socks=$3.99slacks=$45 =total sale =$102.99 sales tax=8.5%÷100=0.085=0.085×102.99=8.754
total=8.754+102.99111.744
A gym charges $5 per day, plus $2 for each equipment rental. Jamin will pay for one day at the gym and
r equipment rentals. Create an equation that represents the total amount, a dollars, Jamin will pay.
Enter your equation in the space provided. Enter only your equation.
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.