Hi his figure is made up of unit cubes, each with a volume of 1 cubic unit.
What is the volume of the figure?
( photo is attached)
(Will give brainliest if you help)
Answers
Answer:
D. 100 cubic units
Step-by-step explanation:
There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.
10 x 10 =100
Answer:
B. 60 cubic units
Step-by-step explanation:
Formulas for a cube:
The volume of a cube:
V = a3
The surface area of a cube:
the area of each face (a x a) times 6 faces
S = 6a2
Face diagonal of a cube:
By the Pythagorean theorem, we know that
f2 = a2 + a2
Then f2 = 2a2
solving for f we get
f = a√2
Diagonal of the solid cube:
Again, by the Pythagorean theorem, we know that
d2 = a2 + f2
substituting f into this equation we get
d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2
solving for d we get
d = a√3
Related Questions
Evaluate the expression when d= 75
2d + –45d = 0
Answers
Answer:
- 3225
Step-by-step explanation:
d = 75
2d + ( - 45 d )
= 2 ( 75 ) - 45 ( 75 )
= 150 - 3375
= - 3225
9 = 3 (1/2 + k)
explanation
Answers
In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 410 men in that town earned bachelor degrees. Assume that the rate of change was constant between 2000 and 2010.
a. Without using regression, write a system of equations that model the number of bachelor degrees earned by men and women in Springfield as a function of x, the number of years since 2000. Show your work.
Equation for Springfield’s men:
Equation for Springfield’s women:
Answers
Answer:
See belowStep-by-step explanation:
For women, the initial number is 6, constant rate of change is w, number of years is x.
Find the rate of change and work out the required formula:
10w + 6 = 391 ⇒ 10w = 385 ⇒ w = 38.5Formula:
W(x) = 38.5x + 6Similarly for men, we get:
10m + 25 = 410 ⇒ 10m = 385 ⇒ m = 38.5Formula:
M(x) = 38.5x + 25Answer:
Women = 44.5
Men = 63.5
Step-by-step explanation:
witch function defines (g . f)(x)
f(x)=log(5x)
g(x)=5x+4
a.) (g . f) (x)=5x log(5x) + 4log(5x)
b.) (g . f) (x)=5x log(5x)+ 4
c.) (g . f) (x)=5x + 4 +log(5x)
d.) (g . f) (x)=5x - 4 - log(5x)
Answers
Answer:its A
Step-by-step explanation:
I ask my teacher so its A
URGENT!! I NEED HELP ASAP NOT ROCKY
Ryan wishes to purchase a new boat and can afford monthly payments of up to $300 per month. Finance is available and the terms are that the loan lasts for 3 years, and the annual interest rate is 12%. What is the maximum price for a boat that Ryan's budget can afford? Round your answer to the nearest hundred dollars.
Answers
Answer:
$9000Step-by-step explanation:
Given
Monthly payment P = $300Time t = 3 years = 36 monthsNumber of payments n = 36Interest rate r = 12% PA = 1% per month = 0.01 timesUse loan payment formula:
P = r(PV) / (1 - (1 + r)⁻ⁿ), where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of paymentsSubstitute values and solve for PV:
300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)PV = 300*(1 - 1.01⁻³⁶ )/ 0.01 PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45
Answers
Answer:
A. 45
Step-by-step explanation:
Answer: A. 45
Step-by-step explanation:
In the y=mX+b formula the number by itself with no variable or b is the y-intercept.
Write an expression for "six minus b".
Please help!!
Answers
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
What’s the answer to this question ?
Answers
Step-by-step explanation:
112=35+d
112-35=d
d=77
hope it helps u
4) Suppose y varies inversely with the SQUARE ROOT of x.
When x = 4, y = 100.
Which variation equation you need to use? (a) y = kx or (b) y = k/x?
Find the constant of Variation (K) and then find the Variation Equation by plugging the value of k.
Answers
Answer:
Variation equation: y = k/√x
constant of variation: 200
Variation Equation by plugging the value of k: y = 200/√x
Step-by-step explanation:
If y varies inversely with the SQUARE ROOT of x, then;
y = k/√x
If x = 4, y = 100.
100 = k/√4
100 = k/2
200 = k
k = 200
Substitute into the expression
y = k/√x
y = 200/√x
Find ? (inscribed angle)
Answers
9514 1404 393
Answer:
107°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
X = 180° -Q
X = 180° -73° = 107°
The y-intercept is the value of y when x equals 0.
What is the y-intercept of the line with the
equation y= 2x + 8?
Answers
Answer:
(0, 8)
Step-by-step explanation:
To find the y- intercept of the line, substitute x= 0 into the equation.
y= 2x +8
When x= 0,
y= 2(0) +8
y= 8
Thus, the y-intercept of the line is (0, 8).
help i'll give you brainlyest
Answers
Answer: it c i think if im wrong dont be mad 0-0
Step-by-step explanation:
ok thx
Find the center and the radius of the circle with the equation:
x^2 - 2x + y^2 + 4y + 1 = 0
Answers
Answer:
center: (1, -2)
radius: 2
Help me PLEASEEE NO LINKS AND PLEASE DO NOT ANSWER FOR POINTS YOU WILL BE REPORTED IF YOU DO AND THANK YOU TO THOSE WHO ARE GOING TO HELP ME
Answers
Answer:
160 the total area
Step-by-step explanation:
10×10=100=area of square
5×12=60=area of triangle
2t + t =68
a. find t
b. fint 2t
Answers
Answer:
t = 22[tex]\frac{2}{3}[/tex]
2t = 45[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3t = 68
t = 68/3
There are 400 pupils in a primary school.
Of the 400 pupils, 88 play a musical instrument.
Express the number of pupils who play a musical instrument as a fraction of the 400
pupils.
Give your answer in its simplest form.
Answers
Answer:
11/50
Step-by-step explanation:
[tex] \frac{88}{400} = \frac{11}{50 } [/tex]
Answer:
total number of pupils = 400
number of pupils play musical instruments = 88
number of pupils who play a musical instrument as a fraction form = 88/400
in simplest form = 11/50
Solve the expression using absolute value.
|−16|+|−12|
Answers
Answer:
16 + 12 = 28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Hello!
Remember that any negative number inside of the absolute value brackets turns positive, and any positive number stays positive.
Simplify|-16| + |-12|16 + 1228
The simplified expression is 28.
A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups cups of sugar and is 2.5 times larger than the small bag. The small bag contains enough sugar to make 9 cakes and have 0.75 cups of sugar remaining. How many cakes can be made with a large bag of sugar?
Answers
Answer:
Step-by-step explanation:
The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.
What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.
9x + 0.75 = 12
First, subtract 0.75 from both sides. With that, we can solve for x directly.
9x = 12 - 0.75
9x = 11.25
Now, divide both sides by 9.
x = 11.25/9
x = 1.25
With that, we now know that each cake needs 1.25 cups of sugar.
With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.
With that done, we have our answer. 24 cakes can be made with a large bag of sugar.
I hope this helps! (⌒ω⌒)
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873
Answers
Answer:
F $1800
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 15000 × 0.04 × 3 = 1800
I = $ 1,800.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 4% per year
for 3 years is $ 1,800.00.
Answer:
F. $1800
Step-by-step explanation:
Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.
The following formula can be used to describe this scenario,
[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]
Substitute,
[tex]=(3)((15000)(4))[/tex]
To convert a percent to decimal form, divide the percent by (100)
[tex]=(3)((15000)(0.04))[/tex]
[tex]=(3)(600)\\\\=1800[/tex]
which expression is equivalent to 7/12 - 2/12
Answers
Answer:
5/12
Step-by-step explanation:
7/12-2/12=5/12=0.416
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answers
Answer:
German Test
Step-by-step explanation:
Find common denominator:
34/50=68/100
14/20=70/100
Therefore, Abeer did better on the German test as 14/20>34/50
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answers
Answer:
x = 10
Step-by-step explanation:
I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:
6² + 8² = x²
100 = x²
x = √100
x = 10
If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?
Answers
Answer:
B
Step-by-step explanation:
this will include all people and not just a specific group like all in a certain grade/s or all in the same class
Answer: break them up into parts
Step-by-step explanation:
Hurry and answer i need a real answer
Answers
Answer:
C
Step-by-step explanation:
Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths
Answer:
C :>
Step-by-step explanation:
help please
........
Answers
9514 1404 393
Answer:
noyesStep-by-step explanation:
Put the values of x and y in the equation and see if it is true.
1. 2 = 2×0 . . . . False (not a solution)
2. 12 = 6×2 . . . True (is a solution)
1 plus 1 please help!!1!!!1
Answers
Answer:
1 plus 1 equals window........
Answer:
I think the answer is orange
Step-by-step explanation:
#Eleventeen
2mn – 5z + 7
PLEASE HELP!!
Answers
Answer:
it's already simplified
what do you want me to do? tell me what kind of equation it is?
it's a linear trinomial
Step-by-step explanation:
HELP PLEASE
In the figure below, m∠A = 72° and m∠B = (5x + 8)°.
If ∠A and ∠B are supplementary angles, which equation represents their relationship, and what is the value of x?
A.
72 + (5x + 8) = 90
x = 34
B.
72 + (5x + 8) = 180
x = 52
C.
72 + (5x + 8) = 90
x = 2
D.
72 + (5x + 8) = 180
x = 20
Answers
Answer:
D. 72 + (5x + 8) = 180, x = 20.
Step-by-step explanation:
Supplementary angles are angles that add up to 180, so the equation would be 72 + (5x + 8) = 180.
Now here, to find the value of x, solve for x.
72 + (5x + 8) = 180
5x + 8 = 108
5x = 100
x = 20
Your answer is D, 72 + (5x + 8) = 180, x = 20.
GIVING BRAINLY need urgent help give evidence if you just answer for points you will be reported no biTLY LINKS
Answers
Answer: I think the first one so A.
Write the following expression without negative exponents and without parentheses. -3x^-2
Answers
Answer: -3/x^2
The negative exponent correlates to the x. In order for the exponent to be positive, it changes from the numerator to the denominator.