A prism has a pentagonal base. The
area of the pentagon is 45 cm2, the
height of the prism is 13 cm. Find the
volume of the prism.
Answer:
585[tex]cm^{3}[/tex]
Step-by-step explanation:
45 x 13 = 585
Let me explain...
we don't know the length and the width but it is telling us that there is an area of 45 centimeters. Meaning the Length x Width is equal to the area. so there wasn't no need to solve for length and width.
So that's why we only had to multiply the 45 (Length x width) and the height which is 13.
Final Answer: 585[tex]cm^{3}[/tex]
What is the correct ratio?
math 20
Answer:
7/24
Step-by-step explanation:
tan = opp/adj
opp = 7
adj = 24
hyp =25
Answer it plssss........
Answer:
A
Step-by-step explanation:
Because x has the degree one and it’s figure at the numerator
How many solutions are in 5x^2+3x+2=0
The total length of a beach is 14.4 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answer:
240
Step-by-step explanation:
Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.
Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $4 of the population mean, and the population standard deviation is known to be $25.
Answer:
151 students must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be $25.
This means that [tex]\sigma = 25[/tex]
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean
This is n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96*25[/tex]
[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
151 students must be selected.
The school canteen charges Rs 42 for lunch and Rs 8 for milk for
each day. How much money do you spend in 5 days on these things? Write proper steps. State the property used.
Answer:
After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
Step-by-step explanation:
Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:
(42 + 8) x 5 = X
50 x 5 = X
250 = X
Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
Please help. Thank you!
coat and a pair of boots are on sale
for 20% off.
The regular price of the coat is $250.
The regular price of the boots is $170.
Kayla wants to buy both the coat and
the boots. How much will she pay if she buys them during the sale?
Answer:
$336
Step-by-step explanation:
20% can be split into 2 10%
so to find 10% of a number U move the decimal point 1 place left
so 10% of 250 = 25, therefore 20% must equal
25 + 25 = 50. 20% of 250 is 50
and by doing the same this we find that 20% of 170 is 34
now minus the percentage from the original tO get the new price of both items
[tex]250 - 50 = 200[/tex]
[tex]170 - 34 = 136[/tex]
now add both 136 and 200 together to get the price she will pay for both on sale
[tex]200 + 136 = 336[/tex]
Lucy is on her way home in her car. She has driven 22 miles so far, which is one-half of the way home. What is the total length of her drive?
Answer:
44
Step-by-step explanation:
if 22 miles = 1/2
then, 22 times 2 = 44 miles
ANSWER= 44 miles
9
Reduce to its lowest term.
36/100
Answer:
9/25
Step-by-step explanation:
a bakery sold 31 bagels in the first hour of business and 42 bagels in the second hour. if the baker had 246 bagels to start, how many bagels were left after the second hour?
Answer:
173 bagels were left after the second hour!!
Step-by-step explanation:
PLEASE HELP TIMED---
A basket of sports equipment has 10 baseballs, 2 footballs, and 4 basketballs. A ball is randomly drawn from the basket before another ball is drawn, with no replacement.
What is the probability that a baseball and then a football are selected?
Enter your answer as a fraction in simplest form in the box.
Answer:
6/10
Step-by-step explanation:
i think sorry if incorrect
Answer:
The correct answer is [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
I know everyone says this but I just took the test and I got it right :)
Which description best compares the graphs of these two functions?
Function A
y = -33 +2
2
Function B
0 2 4
2 1 0
6
-1
y
Functions A and B have the same y-intercept.
Functions A and B have the same x-intercept.
Function A is not a linear function.
Function B has a steeper slope.
Answer:
1st option, they have the same y-intercept
Step-by-step explanation:
they do not have the same x-intercept
'A' is linear
'B' has a less steep slope
Solve for X
1/5 X + 1/2 = 1
Answer:
X = 5/2
Step-by-step explanation:
I will assume that you meant (1/5)X + 1/2 = 1. The LCD is 10.
Multiplying both sides by 10, we get:
2X + 5 = 10, or 2X = 5, or X = 5/2
What is the domain of y= tan(x)?
Answer:
Step-by-step explanation:
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
Find the distance from A to C across the gorge illustrated in the figure.
The distance from A to C is ___ feet.
Step-by-step explanation:
tan B = AC/BC
tan 35°= AC / 160
0.700 = AC /160
=> AC = 160 × 0.700
AC = 112.00
so, the distance from A to C is 112.00 feet
From the triangle given in the figure,
ΔACB is a right triangle.Measure of angle ABC = 35°Measure of adjacent side BC = 160 ftSince, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,
Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
By substituting these values in the expression,
[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]
AC = 160[tan(35)°]
AC = 112.03 feet
Therefore, distance between A and C is 112.03 feet.
Learn more,
https://brainly.com/question/10675333
According to a June 12 invoice, George's Grocery Store owes $11,250 to Crane Food Services. The sales terms are 5/10, 3/15, n/30. Find the cash discount if the invoice is
paid on June 26.
$328.75
$337.50
$445.80
$562.50
None of these choices are correct.
Answer:
$337.50
Step-by-step explanation:
Given that
The amount is $11,250
And, the sales terms are 5/10, 3/15, n/30
5/10 means if the payment is done within 10 days so 5% discount is given
3/15 means if the payment is done within 15 days so 3% discount is given
And, n/30 means the credit days for payment allowed is 30
Now the cash discount if the invoice is paid on June 20 is
= $11,250 × 3%
= $337.50
Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT
Answer:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Step-by-step explanation:
The area of the kite is 30 m2. What is the value of x? Explain
Answer:
x = 5
Step-by-step explanation:
6. Side AC = 10 in; Side BC = 8 in What is the length of Side AB?
Answer:
is it a right angle?
if yes then do u gotta find the hypotenuse or the leg?
The clerk at the grocery store makes $12 an hour. How much will be made in 40 hours?
Answer:480$
Step-by-step explanation:
Hope this helps
Answer:
480
Step-by-step explanation:
Please help me with this, its due today
Answer:
43 is answer
Step-by-step explanation:
65+x+2+70=180
137+x=180
x=43
y = 3/5x + 5
y = -3/5x + 5
y = 3/5x - 5
y = -3/5x - 5
Answer:
y= 3/5x+5
Step-by-step explanation:
The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5
could someone help please ??
Answer:
i think it's 0.66666666666 or 1.5
Answer:
The quotient is 1.5.
Step-by-step explanation:
Alice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Answer:4000 per year
Step-by-step explanation:
A local dog shelter has 12 dogs and 8 cats up for adoption. What fraction of the pets are dogs, what percent are cats?
If anyone can figure this out tysm
What is 10° equivalent to?
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
What is the function graphed below?
9514 1404 393
Answer:
B. y = x + 0.5
Step-by-step explanation:
The y-intercept of 0.5 eliminates choices A and C.
When x increases by 1, y increases by 1, eliminating choice D.
The equation of choice B is graphed.
y = x + 0.5
1/6 divided by 1/2 as a reduced fraction
Answer:
1/3
Step-by-step explanation:
1/3
Step-by-step explanation:
1/6 ÷ 1/2
Copy dot flip
1/6 * 2/1
Multiply
2/6
Reduce
1/3
Solve 124m – 23=34 for m.
Answer:
0.45967741
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
m
=
57
124
Decimal Form:
m
=
0.45967741
…