The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.
Answer:
Step-by-step explanation:
Volume of pentagonal prism = 309.6 cubic units
h = 7.2 units
[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]
[tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]
What is 45% of 69/3???
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Why are you deleting my answers??
can someone please help me
Answer:
1.6
Step-by-step explanation:
There are 5 points from -1 to -2 if you count by 0.2 then you get 0.6 put that with the numbers on the line and you get 1.6
Simplify the given expressions below.
I) 4x + 8 - 2x + 7
2) 2n ×5 ×2a
3) 6a power 5 over 3a power 2 ×2a
please work it out and clear
Step-by-step explanation:
1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]
Combine like terms
[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]
Add 4x and 2x , 7 + 8
[tex] \rightarrow \sf \: 2x + 15[/tex]
~Done~
2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]
[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]
[tex] \rightarrow \sf \: 20an[/tex]
~Done~
ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Point C is the centre of the rectangle
What are the coordinates of B and D
The coordinates of B and D are the location of the vertices B and D in the rectangle
The coordinates of B and D are (55, 30) and (55, 14)
How to determine the coordinates of B and D?From the figure of the rectangle, we have:
A = (25,30)
C = (40, 22)
Point B has the same y-coordinate as point A
So, we have:
B = (x, 30)
The x-coordinate is then calculated as:
Bx = 2Cx - Ax
This gives
Bx = 2*40 - 25
Bx = 55
So, the coordinates of B are:
B = (55, 30)
Point D has the same x-coordinate as point B
So, we have:
D = (55, y)
The y-coordinate is then calculated as:
Dy = Cy - (By - Cy)
This gives
Dy = 22 - (30 - 22)
Dy = 14
So, the coordinates of B are:
D = (55, 14)
Hence, the coordinates of B and D are (55, 30) and (55, 14)
Read more about rectangles at:
https://brainly.com/question/10737082
Find the area
Can someone pls help me?
there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45
Answer:
9m = 45
Step-by-step explanation:
if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:
9m = 45
where m is the number of marbles in the red jar.
SOMEONE PLSSSSSS HELP ME SOLVE THIS FAST
I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area
Help I’ll give info help text me on ig 7mile.jr
Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm
Answer:
What shape is the object in question?
solve for X 3.5x/9= 4.2/5 Please help me
Answer:
x=2.16
Step-by-step explanation:
1. Cross multiply. 3.5x(5) = 9(4.2)
2. Simplify. 17.5x=37.8
3. Divide both sides by 17.5. x=2.16
Write a money problem you can solve using sharing, joining, or separating
Answer:
Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?
Step-by-step explanation:
100-40=60
Jonny has 60 dollars left
How do I solve for y?
Answer:
Step-by-step explanation:
The angle containing y and 63 are vertically opposite. They are equal.
y + 23 = 63 Subtract 23 from both sides
y +23-23 = 63 - 23
Answer y = 40
which number is equivalent to 5√8 x 3√4
A. 15√2
B. 60√2
C. 30√3
D. 60√3
Answer:
B
Step-by-step explanation:
5×sqrt(8)×3×sqrt(4) = 15×sqrt(8)×sqrt(4) = 15×sqrt(8)×2 =
= 30×sqrt(8) = 30×sqrt(4×2) =
= 30×2×sqrt(2) = 60×sqrt(2)
Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS LETS TAKE IT TO 100!
Answer: B) 24
Step-by-step explanation:
All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.
Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.
I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.
24 / 2 = 12
24 / 4 = 6
(3/5)^2 + 4 x 3 - 2
Please help :)
Answer:
[tex]10 \frac{9}{25} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]
In a parallelogram ABCD, angle a=70, find 2angle d
Answer:
D = 110
Step-by-step explanation:
Given,
In a parallelogram ABCD,
∠A =70∘
∠A + ∠B = 180∘.. (supplementary angles)
∠B = 180∘ – 70∘ = 110∘
∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)
∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110
f(x) = x^2-3
What is the average rate of change on the interval [-5, 2] ?
Answer:
[tex](-3)[/tex].
Step-by-step explanation:
Over this interval, the change in the value of this function is:
[tex]f(-5) - f(2) = 22 - 1 = 21[/tex].
The corresponding change in the value of [tex]x[/tex]:
[tex](-5) - 2 = -7[/tex].
The average rate of change of function [tex]f[/tex] over this interval is equal to the change in the function value divided by the corresponding change in [tex]x[/tex]:
[tex]\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}[/tex].
Thus, the average rate of change of [tex]f(x) = x^{2} - 3[/tex] over the interval [tex][-5,\, 2][/tex] would be [tex](-3)[/tex].
Choose the correct graph of the function y=2√x.
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 0
1 2
2 2.83
Graph also below:
[RevyBreeze]
Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.
How to analyze and solve logarithmic expressionsLogarithms are trascendental functions, that is, functions that cannot be described algebraically.
In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:
[tex]\log_{b} x^{2} = 10[/tex]
[tex]2\cdot \log_{b} x = 10[/tex]
[tex]\log_{b} x = 5[/tex]
x = b⁵
Then, the value of the latter logarithm is:
log₃ (x⁻¹)[tex]^{1/b}[/tex]
- b⁻¹ · log₃ x
- b⁻¹ · log₃ b⁵
- 5 · b⁻¹ · log₃ b
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]
RemarkThe statement is poorly formated, correct form is described below:
Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].
To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/3181916
Help mee plsssssssss
Answer:
-3
Step-by-step explanation:
you can tell because 12-3=9 and 9 is the output. it's the same for the others. 15-3=12 and 20-3=17
help please thank you
Answer:
hmm i think its
1/2(x + y)
Step-by-step explanation:
because well... this would be eaiser for me if it said "of the" because "of the" is mostly used for multiply, but since it just said "the..." i can only guess. I think this may be the answer tho?
| negative 9 | + | 12 | = what
a. negative 3
b. 3
c.negative 21
d.21
pleaz help might make brainliest
Answer:
21 (but see note)
Step-by-step explanation:
I am thinking you are showing the symbols for absolute values ( the vertical lines) so the absolute value of negative 9 is 9 and absolute value of positive 12 is 12 so it's just 9+12
A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
The rest of the coins are 10p coins.
Work out the total value of the 416 coins.
Answer:
it's I think 250
Step-by-step explanation:
it's 250 from me...
A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression
2(x+)+2(x + 7) represents the perimeter of the rectangle.
Which expression also represents the perimeter of the rectangle, in feet?
A (x + 4) + (x + 4) + (x + 7) + (x + 7) W
B (x + 4)(x + 4)(x + 7)(x + 7)
C 4x + 11
D 22x
Answer:
A
Step-by-step explanation:
No need. It’s simple.
B can’t be it because it uses multiplication.
C can’t be it because it makes no sense.
D also makes no sense.
evaluate f ( - 5 ) =
Answer: −5
Step-by-step explanation:
simplify: (−5)
Re-order terms so constants are on the left:
(−5)f(−5)−5
Suppose we want to choose 6 letters, without replacement, from 10 distinct letters.
Answer:
Step-by-step explanation:
If order matters (much like forming... a 4 digit number-maybe for a safe?), you will be computing "permutations". The formula for "r" items chosen from "n" items, where order matters is Npermutations = nPr = n!/ (n-r)!
Npermutations = 10P6 = 10!/(10-6)= 10*9*8*7*6*5 = 151200
When order doesn't matter (such as in dealing a poker hand, its the cards you end up with that matter not the order in which they are dealt into your hand) you will be computing combinations. The formula for the number of combinations of "r "items from "n" choices is Ncombinations = nCr = n!/((n-r)!r!)
Ncombinations = 10C6 = 10!/((10-6)!6!) = (10*9*8*7)/(4*3*2*1) = 210
Notice how there are far fewer combinations than permutations. This makes sense because if you think about how 6 colors {red, blue, green, white, black, yellow} can be arranged, there are 6!=720 ways to arrange these 6 colors if order matters. If order doesn't matter, this set of 6 colors counts only once.
Same thing with numbers :)
Hope this helped, brainliest is always appreciated! :)
Have a nice day CX
~Mitsuna
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Answer:
(There's actually a few ways of solving this, but here's one)
Multiplying the second equation by 2.
EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.
(multiplying the second equation by -2 is the actual answer, my apologies)
Step-by-step explanation:
So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.
In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.
If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.
This is helpful because when you subtract this from the first one, you eliminate x.
4x + y = 4
-(4x + 12y = 48)
is
-11y = -44
40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?
Both are supplementary
<A+<C=180112+<A=180<A=180-112<A=68Factor completely 3x^2 - 147
Answer:
3(x-7)(x+7)
Step-by-step explanation:
In order to completely factor, begin by factoring out the greatest common factor. Both terms are divisible by 3 so 3 is the greatest common factor. 3(x^2-49). In order to completely factor, recognize x^2-49 as the difference of squares. Factor that into 3(x+7)(x-7).
Answer:
3(x+7)(x-7)
Step-by-step explanation:
Hello!
We can start by taking out the coefficient of 3 by factoring it out.
Factor:
The process of removing a factor or coefficient by dividing it out from the expression.
Factor the expression:
Remove the coefficient of 3
3x² - 1473(x² - 49)Factor using the product rule: a² - b² = (a+b)(a-b)
3(x² - 49) = 3(x + 7)(x-7)There's your factored expression! 3(x+7)(x-7)