Answers
Answer:
60 cm³
Step-by-step explanation:
Applying,
Volume (V) = Area of the base(A)×Height(h)
V = Ah................ Equation 1
From the diagram,
A = Area of Trapezium
A = 1/2(a+b)c............. Equation 2
Substitute equation 2 into equation 1
V = [1/2(a+b)c]h........... Equation 3
Given: a = 3 cm, b = 7 cm, c = 3 cm, h = 4 cm
Substitute these values into equation 3
V = [3(3+7)/2]4
V = (3×10/2)4
V = (3×5)4
V = 15×4
V = 60 cm³
Related Questions
which of the statements below best describes the transformation of the graph of
−
f
(
9
x
)
?
Answers
Answer:
The transformation of the graphs is that of an expansive one as can be depicted by a value being multiplied onto the graph. This refers to an increase in the output value by the factor essentially spreading the graph out abroad.
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt. Which interval is the 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt
Answers
Answer:
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt.
This means that [tex]n = 352, \pi = \frac{92}{352} = 0.2614[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 - 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.2011[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 + 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.3217[/tex]
As percent:
0.2011*100% = 20.11%
0.3217*100% = 32.17%.
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
After sales tax, a $260 fancy watch costs $286. What is the sales tax percentage?
Answers
Answer:
10%
Step-by-step explanation:
the difference between 260 and 286 is 26, which is 10% of 260 so 10%
PLEASE HELPPPPP
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).
Answers
Answer:
126
Step-by-step explanation:
1200x.021=25.20 interest per year
25.20 x 5 years = 126
assumes no compounding
Todd Lyle worked Monday through Friday from 8:00 A.M. to 5:00 P,M. with an hour off for lunch. He is paid $10,50 an hour. Find his earnings for the week.
Answers
Answer:
$315
Step-by-step explanation:
He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.
please help fast, I will mark BRAINLIEST 10. Find the rule. *
Х
3
Y
5
6
4
6
8
10
O y = x + 1
O y = x + 2
O y = 2x - 1
O y = 2x
Answers
Answer:
the answer to the question is y=x+2.
Find the exact value of x.
Answers
Answer:
7[tex]\sqrt{2}[/tex] or 9.89
Step-by-step explanation:
sin45= [tex]\frac{7}{x}[/tex]
x=[tex]\frac{7}{sin 45}[/tex]
x= 7[tex]\sqrt{2}[/tex] or 9.89
Hope this helps!
what is 65 x 264 + 81 - 94
Answers
Answer: 17,147
Step-by-step explanation:
Find the area and perimeter of the compound figure
Answers
= 10 + 15 = 25
Perimeter = 2+3+5+3+2+5
=20
Jessica's teacher asked her to divide 5/8 of the box of crayons
among 10 classmates. How much of a box of crayons did
each one receive?
Answers
Answer:
Each classmate received 1/16
Step-by-step explanation:
5/8= 0.625
0.625 ÷ 10 = 0.0625
= 1/16
A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?
Answers
Answer:
371 women had their pregnancy between 250 days and 282 days in length.
di po ako sure sa answer ko, but it is based on what I remembered.
Step-by-step explanation:
z=532-266
16
√500
= 371.74 or 371
what is 731.49 written in standard fotm to it power
Answers
That’s the most suitable answer
An expression is shown. Which one of the expressions below is equivalent?
Answers
Answer:
C
Step-by-step explanation:
What is the equation in slope-intercept form of the
line that passes through the points (-4,2) and
(12, 6)?
Answers
Jill Accardo, M.D., maintains the accounting records of Accardo Clinic on a cash basis. During 2020, Dr. Accardo collected $142,600 from her patients and paid $55,470 in expenses. At January 1, 2020, and December 31, 2020, she had accounts receivable, unearned service revenue, accrued expenses, and prepaid expenses as follows. (All long-lived assets are rented.) January 1, 2020 December 31, 2020 Accounts receivable $9,250 $15,927 Unearned service revenue 2,840 4,111 Accrued expenses 3,435 2,108 Prepaid expenses 1,917 3,232 Instructions Prepare a schedule that converts Dr. Accardo’s “excess of cash collected over cash disbursed” for the year 2020 to net income on an accrual basis for the year 2020.
Answers
Answer and Step-by-step explanation:
The preparation of the schedule is presented below:
Jill Accardo, MD
Conversion of Income Statement
from Cash Basis to Accrual Basis
For the Year 2020
Particulars Cash Adjustments Accrual
Basis Add Deduct Basis
Revenue from
fees: $142,600
The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?
Answers
9514 1404 393
Answer:
5π/6 radians
Step-by-step explanation:
The whole is the sum of the parts.
∠BAD = ∠BAC +∠CAD
∠BAD = π/3 + π/2 = π(2/6 + 3/6)
∠BAD = 5π/6
Find the vertex of the graph of the quadratic function y=-2xto the 2-8x-16 and determine whether it is absolute maximum or absolute minimum
Answers
Answer: It's the absolute maximum, the vertex is (-2, -8).
Step-by-step explanation:
Just go to desmos graphing calculator and input the equation y = -2x^2-8x-16. You'll find the vertex and other things too.
Which function is a translation of the parent absolute value function?
A: f(x) = 2/1
B. f(x) = |x+61
C. f(x) = x1
D. f(x) = -4/41
Answers
Answer:
B. f(x) = | x + 61 |
Step-by-step explanation:
An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.
The only option with this indication is option B.
B. f(x) = | x + 61 |
This equation can be solved in two ways;
first; f(x) = - (x + 61)
second; f(x) = x + 61
.
What is the equation of the line that passes through point (3, −1) and has a slope of 2?
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
Look at the image: This is how I solved the problem
PLS HELP!! need the answer asap
Answers
Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?
ab(7a2 + 10ab + 14b2)
a2b(7 + 10b + 14b2)
7a2(b + 3b2 + 7b3)
7a2b3(b2 + 3b + 7)
(Freepoints)
Answers
[tex]{a}^{2} b \: (7 + 10 \: b + 14 \: {b}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]7 \: {a}^{2} b + 10 \: {a}^{2} {b}^{2} + 14 \: {a}^{2} {b}^{3} \\ = {a}^{2} b \: (7 + 10 \: b + 14 \: {b}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
...................have a great day!
What value of m will m+9, 2m-1, and 2m+7 are the consecutive terms of an
arithmetic progression?
Answers
9514 1404 393
Answer:
m = 18
Step-by-step explanation:
In an arithmetic progression, the middle term of three is half the sum of the terms on either side.
a1 +a3 = 2(a2)
(m +9) +(2m +7) = 2(2m -1)
3m +16 = 4m -2 . . . . . . collect terms
18 = m . . . . . . . . . . . . . . add 2-3m
Casey boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.6 radians per minute and has a radius of 50 feet. The center of the Ferris wheel is 55 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.
a. Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.
b. Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.
Answers
Solution :
It is given that :
Casey boarded a Ferry wheel at position of 3 'o' clock.
The angular speed of the Ferry wheel = 5.6 radians per minute
The radius of the Ferry wheel = 50 feet
The height of the center wheel of the Ferry from the ground = 55 feet
Let the number of minutes be = t
a). The expression of the varying number of radians θ is given by :
After t minutes, θ = angle swept
θ = 5.6 t radians
b). Finding the height from the center of the wheel.
We know that : y = r sin θ
Given r = 50 feet
So, y = 50 sin (5.6 t) feet
Therefore, the height above the ground can be found by :
h = y + 55 (from ground)
h = 50 sin (5.6 t) + 55 feet
JS
Find the surface area of this prism.
Round to the nearest tenth.
6.72 cm
5.78 cm
12.7 cm
[ ? ]cm?
Enter
Answers
Answer:
[tex]Area = 395.2cm^2[/tex]
Step-by-step explanation:
Given
The attached prism
Required
The surface area
This is calculated as:
[tex]Area= 2(LW + LH + WH)[/tex]
Where:
[tex]Length \to L=5.78[/tex]
[tex]Width \to W=12.7[/tex]
[tex]Height \to H=6.72[/tex]
So, we have:
[tex]Area = 2(5.78 * 12.7 + 5.78 * 6.72 + 12.7 * 6.72)[/tex]
Using a calculator, we have:
[tex]Area = 395.1832[/tex]
[tex]Area = 395.2cm^2[/tex] ---- approximated
Give all answer mark brainliest
Answers
Answer:
add 15
Step-by-step explanation:
Answer:
Answer
Step-by-step explanation:
1) z=3
2) n=(-10)
3)5=5/1=5*4/4
4) 12.2
5)13/3
6)9
7) 5
8) -21/5
9) -15/2
hope it will help you
Determine the area for the figure below.
Answers
Answer:
Area = 18
Step-by-step explanation:
Trapezoid formula is Area = (a + b) * h/2
Area = 5 + 7 * 3/2
Area = 18
work out the area of the shaded shape
Answers
Answer:
theres no photo :))) btw God bless you
please help, me and my friend need help answering this question ;)
Answers
Answer:
[tex] 12\frac{8}{9} [/tex] cm
Step-by-step explanation:
Perimeter of the rectangle = 2(length + width)
length = 3⅚ cm
width = [tex] 2\frac{11}{18} [/tex] cm
Thus:
Perimeter = [tex] 2(3\frac{5}{6} + 2\frac{11}{18}) [/tex]
Change the fractions to improper fractions
Perimeter = [tex] 2(\frac{23}{6} + \frac{47}{18}) [/tex]
Add
= [tex] 2(\frac{69 + 47}{18} [/tex]
= [tex] 2(\frac{116}{18} [/tex]
= [tex] \frac{116}{9} [/tex]
= [tex] 12\frac{8}{9} [/tex] cm
Calculate the volume of this prism.
Answers
What natural numbers is the solution to these 3 problems
Answers
Answer:
according to me 4 is the answer
Step-by-step explanation:
2 times 2 is less than 7 (second problem), but 4 times 2 is not.
Also, the negative numbers can’t be the solutions because they are not natural numbers.