Answer:
16 inches³
Step-by-step explanation:
Volume of prism = base area * height
Base is square, so area of base = side * side = 2 * 2 = 4 in²
Volume of prism = 4 * 4
Volume of prism = 16 in³
Be sure to show your work and solve for e:
17 + e + 11 = 56
Can someone help me in this plz
Answer:
a =2 5
b =50
Step-by-step explanation:
HELPP PLEASEEEEEEEEEEE
Answer:
A) 14
B) 48
Step-by-step explanation:
[tex]x^{a}[/tex] · [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]
[tex](x^{a}) ^{b}[/tex] = [tex]x^{ab}[/tex]
Which statements are correct? Check all that apply.
Answer:
e s r
Step-by-step explanation:
Identify f? 6(3f - 15)
Answer:
[tex]6(3f-15)=90[/tex]
[tex]3f=90/6+15=30[/tex]
[tex]f=10[/tex]
---------------------------
Hope it helps...
Have a great day!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{6(3f - 15) = 90^\circ}\\\\\huge\text{DISTRIBUTE}\\\\\mathsf{6(3f) + 6(-15) = 90^\circ}\\\\\mathsf{18f - 90 = 90^\circ}[/tex]
[tex]\text{NEW EQUATION: }\mathsf{18f - 90 = 90}[/tex]
[tex]\huge\text{ADD 90 to BOTH SIDES}[/tex]
[tex]\mathsf{18f - 90 + 90 = 90 + 90}[/tex]
[tex]\textsf{CANCEL out: -90 + 90 because that gives the number of 0}[/tex]
[tex]\textsf{KEEP: 90 + 90 because it helps solve for the f-value}[/tex]
[tex]\mathsf{90 + 90 = \bf 180}[/tex]
[tex]\huge\text{NEW EQUATION:\textsf{ 18f = 180}}[/tex]
[tex]\huge\text{DIVIDE 18 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{18f}{18}=\dfrac{180}{18}}[/tex]
[tex]\mathsf{CANCEL \ out: \dfrac{18}{18}\ because \ that \ gives \ the \ number \ of\ 1}[/tex]
[tex]\mathsf{KEEP: \dfrac{180}{18} \ because \ that \ gives \ the\ f-value \ result}[/tex]
[tex]\mathsf{f = \dfrac{180}{18}}[/tex]
[tex]\huge\text{SOLVE ABOVE \& YOU HAVE THE RESULT}[/tex][tex]\huge\text{OF THE F-VALUE}[/tex]
[tex]\mathsf{\dfrac{180}{18}}[/tex]
[tex]\mathsf{= \bf 18}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Therefore, your ANSWER is: \bf f = 10}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
For every paper boat that Lina makes Harry can make 2 paper boats if they make 117 paper boats altogether how many paper boats does Harry make
Answer:
78
Step-by-step explanation:
For every 1 bout Lina makes, Harry makes two boats.
1 + 2 is 3.
117 divided by 3 = 39, which is how many boats Lina made.
39 x 2 = 78, which is how many boats Harry made.
To check our answer, 39 + 78 = 117, which is how many boats they made altogether, so the answer is correct.
Answer:
78
Step-by-step explanation:
My knowledge!!
Hope it helps!
-2/3a+5/6a-1/5a-1/6
Answer:
[tex]\frac{-1}{30} a - \frac{1}{6}[/tex]
Step-by-step explanation:
Find the slope between (-2,-2) and (0,-3)
Answer:
Step-by-step explanation:
x1 y1 x2 y2
-2 -2 0 3
ΔY 5
ΔX 2
slope= 2 1/2
B= 3
Y =2.5X +3
Can someone help me with this math homework please!
Answer:
1.11
Step-by-step explanation:
Slope of a line = (y2 - y1)/(x2-x1) = (100 - 0)/(90-0) = 100/90 = 10/9 = 1.11
Find the volume of the following figures.
Answer:
Solution given:
radius [r]=3ft
height[h]=5ft
Volume of cone=⅓*πr²h
$ubstitute value
Volume of cone =⅓*3.14*3²*5=47.1ft²
Volume of cone is 47.1ft²
Help, please, I'll give brainliest
... 2.........5
16--- + 6---
.....3.........8
I need this answer fast pls
Answer:
what is that? I can't understand it.
Multiply. (Use photo). Enter your answer in simplest radical form.
Answer:
72√2
Step-by-step explanation:
3√2 × 2√8 × √3 × √6
The above can be simplified as follow:
3√2 × 2√8 × √3 × √6
Recall
a√c × b√d = (a×b)√(c×d)
3√2 × 2√8 × √3 × √6 = (3×2)√(2×8×3×6)
= 6√288
Recall
288 = 144 × 2
6√288 = 6√(144 × 2)
Recall
√(a×b) = √a × √b
6√(144 × 2) = 6 × √144 × √2
= 6 × 12 × √2
= 72√2
Therefore,
3√2 × 2√8 × √3 × √6 = 72√2
HHHHELP ME!!!!!! PLZ
Total gasoline = 10 gallons
Gasoline left after 100 miles = 5 gallons
Gasoline used in 100 miles
= Total gasoline - Gasoline left after 100 miles
= 10 gallons - 5 gallons
= 5 gallons
Gasoline used in 1 mile
= Gasoline used in 100 miles/100
= 5 gallons/100
= 0.05 gallons
The cost per hour of running an assembly line in a
manufacturing plant is a function of the number of
items produced per hour. The cost function is
C(x) 0.3x2 – 1.2x + 2, where C (x) is the cost per
hour in thousands of dollars, and x is the number of
items produced per hour, in thousands. Determine
the minimum production level, and the number of
items produced to achieve it. Include a final written
statement.
Answer:
the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Step-by-step explanation:
if there is no mistake in the problem description, I read the following function :
C(x) = y = 0.3x² - 1.2x + 2
I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.
the first derivative of C(x) is
0.6x - 1.2 = y'
0.6x - 1.2 = 0
0.6x = 1.2
x = 2
C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8
so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
the product of 7 and 6
Step-by-step explanation:
7 × 6 = 42 Answer
hope it helps
Can someone Answer this
Answer:
tan x = c/b
cos x = b/a
sin x = c/a
Step-by-step explanation:
an easy way to memorize it would be SOH CAH TOA
SOH = sin, opposite, hypotunese
-- you find the angle and you divide it's opposite and hypotunese when it asks for sin
CAH = cos, adjacent, hypotunese
-- you find the angle's adjacent side and hypotunese, then divide
TOA = tan, opposite, adjacent
-- you find the angle's opposite side and divide it by the adjacent side
I need help with this math problem
GP
We have
(a + bx) / (a - bx) = (b + cx) / (b - cx)
==> (a + bx) (b - cx) = (a - bx) (b + cx)
==> ab + (b ² - ac) x - bcx ² = ab + (ac - b ²) x - bcx ²
==> (b ² - ac) x = (ac - b ²) x
==> b ² - ac = ac - b ²
==> 2b ² = 2ac
==> b ² = ac … … … [1]
Similarly, you would find
(a + bx) / (a - bx) = (c + dx) / (c - dx)
==> ad = bc … … … [2]
and
(b + cx) / (b - cx) = (c + dx) / (c - dx)
==> c ² = bd … … … [3]
Now:
c ² = bd ==> b = c ² / d
b ² = ac ==> c = b ² / a
ad = bc ==> d = bc / a
and we find
d / c = (bc / a) / (b ² / a) = c / b
and
c / b = (b ² / a) / (c ² / d) = (b ² d) / (a c ²) = b / a
which is to say, the ratio between d and c is equal to the ratio between c and b, and also equal to the ratio between b and a. Therefore (a, b, c, d) are in a geometric progression.
How can 65% be broken down with friendly percents to find 65% of a number?
A. 25% + 25% + 10%
B. 25% + 10% + 10% + 10% + 10%
C. 50% + 10%
D. 50% + 25%
PLz Help Thx :>
Answer:
10%
Step-by-step explanation:
Answer:
given that the only one that actually adds up to 65%
is B....
B. 25% + 10% + 10% + 10% + 10%
Step-by-step explanation:
Would appreciate the help please!
Answer:
DF
Step-by-step explanation:
The side opposite the largest angle has the longest measurement
<E has the largest measurement so DF is the longest side
Fill in the following statements.
DE ||
2DE =
Answer:
DE ║ BC
BC = 2(DE)
Step-by-step explanation:
From the picture attached,
AD = DB [Given]
AE = EC [Given]
Therefore, points D and E will be the midpoints of the sides AB and AC.
By midsegment theorem,
Segment joining midpoints of the two sides of a triangle is parallel and measures the half of the third side of the triangle.
DE ║ BC
DE = [tex]\frac{1}{2}(BC)[/tex]
BC = 2(DE)
If a = 1/2, then a^2=
(A) -1
(B) 4
(C) 0
(D) 1
Answer:
1/4
Step-by-step explanation:
a^2
Let a= 1/2
(1/2)^2
(1/4)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of the tree to point B is 46 degrees, how tall is the tree in meters? (round to the nearest whole meter)
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point B are;
The horizontal distance between the tree and point B, x = 125 meters
The angle of depression from the top of the tree to the point B, θ = 46°
Let h represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point B is parallel to the horizontal distance from the point B to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
Answer:
c = 21
Step-by-step explanation:
**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**
If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.
PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.
With that in mind, we can apply this ratio to find WX.
We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.
c = 21
Hope this helps (●'◡'●)
Which of the following is the product of the rational expressions shown
below?
3
2x
O A.
21
2x + 4
21
2x2 + 4x
O c.
42
2x + 4
D.
42
2x² + 4x
Answer:
The answer is "B"
Step-by-step explanation:
The explanation is in the picture!
Tom received a $70 gift card for a cafe. He used it to buy some coffee that cost $7.73 per pound. After buying the coffee, he had $23.62 left on his card. How many pounds of coffee did he buy.
Answer: He bought 6 pounds of coffee.
Step-by-step explanation:
Money he have = 70
money he used to buy = 70.00 - 23.62 = 46.38
so
7.73 dollar = 1 pound
1 dollar = 1/(7.73) = 100/773 pound
46.38 dollar = (100/773) * 46.38 = 6 pound
Which of the following is equiangular and equilateral?
A. rhombus
B. square
C. rectangle
D. parallelogram
Please select the best answer from the choices provided
Answer:
Square
Step-by-step explanation:
In a square,
All the four angles are equal. Each angle = 90.
All the four sides are equal.
36. Factorize x-12x + 20
SEE QUESTION IN IMAGE
Answer:
Step-by-step explanation:
[tex]Mean=\frac{all.ages.added.together.of.all.kids}{total.number.of.kids}[/tex] Hopefully, that makes sense! To get the numerator of that problem, we take the number of kids and multiply it by the corresponding age and add them all together. To get the denominator, we add the total number of kids together. That will look like this mathematically, setting the mean equal to 14.44, as stated:
[tex]14.44=\frac{13(15)+14(42)+15X+16(10)+17(3)}{15+42+X+10+3}[/tex] and simplify that a bit to
[tex]14.44=\frac{195+588+15X+160+51}{70+X}[/tex] and a bit more to
[tex]14.44=\frac{994+15X}{70+X}[/tex] and cross multiply
14.44(70 + X) = 994 + 15X and
1010.8 + 14.44X = 994 + 15X and
16.8 = .56X so
X = 30
30 kids are 15 years old for the mean age to be 14.44
d.30
Answer:
Solution given:
x. [tex] \:\:\:[/tex] f. [tex] \:\:\:[/tex] fx
13. [tex] \:\:\:[/tex] 15. [tex] \:\:\:[/tex] 195
14.[tex] \:\:\:[/tex] 42 [tex] \:\:\:[/tex] 588
15. [tex] \:\:\:[/tex] x. [tex] \:\:\:[/tex] 15x
16. [tex] \:\:\:[/tex] 10. [tex] \:\:\:[/tex] 160
17. [tex] \:\:\:[/tex] 3. [tex] \:\:\:[/tex] 51
. n=70+x. [tex]\sum[/tex]=994+15x
we have
mean=sum/n
14.44=[tex]\bold{\frac{\sum}{n}}[/tex]
14.44=[tex]\bold{\frac{994+15x}{70+x}}[/tex]
doing crisscrossed multiplication
(70+x)*14.44=994+15x
1010.8+14.44x=994+15x
15x-14.44x=1010.8-994
0.56x=16.8
x=16.8/0.56
x=30
Which of the following statements best defines a sample space?
A.
A sample space is one particular outcome for a given situation.
B.
A sample space is the set of all possible outcomes for a given situation.
C.
A sample space is one particular situation for a given outcome.
D.
A sample space is the set of all possible situations for a given outcome.
Answer:
i guess Bis the answer bcuz, A sample space is a collection or a set of possible outcomes of a random experiment
Statement B is correct, which best defines the sample space that is " a sample space is the set of all possible outcomes for the a given situation".
What is sample space in probability?
A sample space is a collection or a set of possible outcomes of a random experiment. It is represented by using the symbol "s".
For example,
When we flip or toss a coin, two outcomes are possible such as head and tail. Therefore the sample space for this experiment is given as
Sample space, S = {H, T} = {Head, Tail}
According to the given option
Option B is correct. That is a sample space is the set of all possible outcomes for a given situation.
Learn more about sample space here:
https://brainly.com/question/17144524
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