Answer:
[tex]x= \sqrt{503}-3[/tex]
Step-by-step explanation:
Hypotenuse = 32 feet
Short leg = x
Long leg = x+6
We will use Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]32^2=x^2+(x+6)^2[/tex]
[tex]1024=x^2+x^2+36+12x[/tex]
[tex]2x^2+12x-988=0[/tex]
[tex]x=-3-\sqrt{503}, \sqrt{503}-3[/tex]
Since the distance cannot be negative
So,[tex]x= \sqrt{503}-3[/tex]
Find the measure of b.
Answer:
measure A is half 110
measure B is (180-A)
so A is 55 , and B is 125
Answer:
measure A is half 110
measure B is (180-A)
so A is 55 , and B is 125
Step-by-step explanation:
Please help ASAP !!!!!!!!!!
Answer:
a) Grocery Store: $9.71
b) Other purchases: $6.71
Step-by-step explanation:
a) 485.72 x 0.02 = 9.71
b) 671.28 x 0.01 = 6.71
Don't forget the labels!!
Find the length of KE. A. 30 B. 28 C. 15 D. 3
Answer:
28
Step-by-step explanation:
What value of p makes both sides equal the same? P = 3
37 - 9 = 28
21 + 7 = 28
So line KE and BE both equal 28
Hope this helps, and have a good day :)!
The length line KE and BE both equal 28.
Option (B) is correct.
Find the length of KE.
What is angle?Figure which is formed by two rays or lines that shares a common endpoint.
Given that:
Let the value of
P = 3
Put the value of P
37 - 9 = 28
21 + 7 = 28
So, line KE and BE both equal 28
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Which is the correct label for the volume of a solid figure?
units squared (i.e. m2)
units cubed (i.e. m3)
Answer:
Volume is units cubed
area is units squared
Units cubed will be the correct label.
We have a solid figure.
We have to determine the correct unit of labelling for this figure.
What is difference between Area and Volume?An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.
Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.
The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).
Hence, units cubed will be the correct label.
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40 POINTS!!!!!!!! WILL MARK BRAINLEST!!!!! 3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. (a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? (b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag? (c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.
Answer:
Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916
To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?
What reasons might venita give for saying that the 1916 coin is most likely in her bag?
Solution:
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
arranging in order
26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85
Median = (68 + 71)/2 = 69.5
Q1 = 61
Q3 = 74.5
IQR = 13.5
Sherelle claims that she has 26 which is closer to 16 hence her chances are more.
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
arranging in order
44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Median = 63.5
Q1 = 53
Q3 = 71.5
IQR = 18.5
IQR of Venita is High
so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More
If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.
She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.
Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.
She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.
if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.
Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
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Help and show work plz
Answer:
NQ=15, NP=20
Step-by-step explanation:
9/(2x+1)=12/(3x-1)
cross product
12(2x+1)=9(3x-1)
24x+12=27x-9
12=27x-24x-9
12=3x-9
3x=12+9
3x=21
x=21/3
x=7
NQ=2x+1=2(7)+1=15
NP=3x-1=3(7)-1=21-1=20
Answer:
x = 7
Step-by-step explanation:
Since the triangles are similar the ratio of the sides must be the same
AB AK
------- = --------------
QN NP
9 12
---------- = ------------
2x+1 3x-1
Using cross products
9(3x-1) = 12(2x+1)
Distribute
27x -9 = 24x +12
Subtract 24x from each side
3x-9 = 12
Add 9 to each side
3x = 21
Divide by 3
x = 7
Please help need help asap please
Answer: The two choices with the square root of 2 will have irrational answers
Step-by-step explanation: By definition:
As long As you have normal fractions, you have rational numbers.
Square roots of "perfect squares" 4, 9, 16, 25, etc. can be rational numbers. The square roots of anything else and pi will be irrational.
A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B) (-2, 2) C) (2, 3) D) (0, 0)
Answer:
D) (0,0)
Step-by-step explanation:
It is a square so each side is 2 units because
8/4 = 2
If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.
We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.
So the other point is (0,0)
Can someone please help me out? I'd really appreciate it.
Answer:
The scaling factor is 4.
Step-by-step explanation:
To find the scaling factor from A to B, we must know that these are similar triangles. Since this is not stated in the problem, we will assume these are similar triangles.
Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions. With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.
40 / 10 = 4
44 / 11 = 4
72 / 18 = 4
Notice how each of the sides from triangle B to triangle A has the same multiple, 4. This tells us that the scale from A to B is 4.
Hence, the scaling factor is 4.
Cheers.
Help! You can look at the picture please
Answer:
[tex] \frac{3x}{3 - 2x} [/tex]
Step-by-step explanation:
Here,
f(x) = y
[tex]y = \frac{3x}{2x + 3} [/tex]
or , swapping x with y
[tex]x = \frac{3y}{2y + 3} [/tex]
now to solve for y we get
[tex]y = \frac{3x}{3 - 2x} [/tex]
now we put f inverse x instead of y
[tex] {f}^{ - 1} (x) = \frac{3x}{3 - 2x} [/tex]
I am done.
Please help As soon as possible!
Answer:
10
Step-by-step explanation:
To find the area of a parallelogram you need to use the expression A = bh
When you plug that in it will be 120 = 12b
After this, you need to solve (10)
Which expression can be used to find the surface area of the following triangular prism? *picture of a triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200
PLEASE HELP FOR FINAL!! H(x)= -|x+1| + 3
Answer:
H(2)= 0 , so x = 2 is the correct answer
Step-by-step explanation:
Given:
H(x)= -|x+1| + 3
Computation:
By putting x = 0,1,2
H(x)= -|x+1| + 3
H(0)= -|0+1| + 3
H(0)= -1 + 3
H(0)= 2
H(x)= -|x+1| + 3
H(1)= -|1+1| + 3
H(1)= -2 + 3
H(1)= 1
H(x)= -|x+1| + 3
H(2)= -|2+1| + 3
H(2)= -3 + 3
H(2)= 0
The coefficient of 8.2 N is
8
2
16
Answer:
2
Step-by-step explanation:
A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.
The format is not exactly clear with the expression in the question.
Assuming the expression is '8 * 2n', the coefficient would be 2.
'n' is getting multiplied by '2'.
'8' does not have a variable next to it, so it is just a term in the expression.
The product of 8 and 2 is 16. 16 is not in the expression.
If the expression was '8.2n', 8.2 would be the coefficient.
Brainilest Appreciated.
*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?
Answer:
The volume will be 8 times larger.
Step-by-step explanation:
Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8
The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have a three-dimensional figure shown in the picture.
The scale factor = 3
As we know, the volume can be found:
Volume = length×width×height
Let the volume of the figure is A
Volume = A cubic in
If the scale factor is applied to the dimensions of the prism:
The volume:
Volume = (2)length×(2)width×(2)height
Volume = 2³(length×width×height)
Volume = 8A
Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.
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If my income is €15 every 2 weeks how much money will I have in 3 months
Answer
90
Step-by-step explanation:
If for 2 weeks there are 15 then there are 4 weeks in 1 month = €30 + €30 + €30 = €90
The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.
Answer:
Mean
=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees
= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1
= 3+0+0+12+7+8/ 1+0+0+2+1+1
= 30 / 5
= 6
So the mean of number of hour sleep is 6 hours.
I hope this helps
if u have question let me know in comments ^_^
Answer:
Step-by-step explanation:
Mean
=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees
= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1
= 3+0+0+12+7+8/ 1+0+0+2+1+1
= 30 / 5
= 6
So the mean of number of hour sleep is 6 hours.
I hope this helps
Which of the following numbers is divisible by 24 ? (A) 13,944 (B) 15,746 (C) 15,966 (D) 16,012 (E) none of the above
Answer:
Only A is divisible by 24.
Step-by-step explanation:
A number is divisible by 24 if it's divisible by both 3 and 8.
Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.
Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.
944 is divisible by 8, and it makes 118.
So A works.
B is 15746.
[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.
C is 15966.
[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.
[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.
D is 16012.
[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.
Hope this helped!
The angles of a pentagon are in ratio
9:10:12:14:15. What is the sum of measures of
the smallest and largest angles?
Answer:
216°
Step-by-step explanation:
The ratio of the sum of smallest and largest to the total of all angles is ...
(9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4
__
The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...
180°(5 -2) = 540°
Then the sum of smallest and largest angles is ...
0.4(540°) = 216°
27.
Charlotte Brontë Linens Warehouse carries a $1,239,500 inventory. Charlotte Brontë Linens
estimates the annual cost of carrying the inventory at 32% of the inventory value. What is
the approximate annual cost of carrying the inventory?
Answer:
Hey there!
For this question we want to find 32% of 1239500.
0.32(1239500)=396640.
Hope this helps :)
Write the equation for the following table:
x. y.
____
0 7
1 16
2 19
3 16
Answer:
B
Step-by-step explanation:
The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?
Answer:
9.49
Step-by-step explanation:
Add the price of the chips and salsa to the price of the tacos
5.50
+3.99
---------------
9.49
Answer: $9.49
Step-by-step explanation:
0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49
$5.50
+$3.99
————
$9.49
Help Resource
Find the total surface area of the
following square pyramid:
4 cm
6 cm
SA = [?] cm2
Answer:
64 cm^2
Step-by-step explanation:
I assume the side of the base measures 4 cm, and the height of each triangular side (the slant height) is 6 cm.
SA = s^2 + 4 * bh/2
SA = (4 cm)^2 + 2(4 cm)(6 cm)
SA = 16 cm^2 + 48 cm^2
SA = 64 cm^2
find the value of a answers: a:15 b:14 c:19 d:16
Answer:
6a+10= 3a+55
6a-3a= 55-10
3a= 45
a= 45/3
a= 15
The answer is (A) 15
Hope this helps^°^
Answer:
A. 15
Step-by-step explanation:
The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.
[tex]6a+10=3a+55[/tex]
Now, solve for a. We must get a by itself on one side of the equation.
First, subtract 3a from both sides of the equation.
[tex]6a-3a+10=3a-3a+55[/tex]
[tex](6a-3a)+10=55[/tex]
[tex]3a+10=55[/tex]
Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.
[tex]3a+10-10=55-10[/tex]
[tex]3a=55-10[/tex]
[tex]3a=45[/tex]
3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3
[tex]3a/3=45/3[/tex]
[tex]a=45/3[/tex]
[tex]a=15[/tex]
The value of a is 15 and choice A is correct.
LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3
14/6 = 22/x
Cross multiply:
14x = 132
Divide each side by 14
x = 9.4
Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?
The decimal 0.1894528 is not a repeating decimal.
What is the decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.
The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.
Therefore, the decimal 0.1894528 is not a repeating decimal.
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The Cleveland Art Institute has eight paintings by a local artist they plan to display. If the paintings are hung in one horizontal line, how many different ways can they be arranged if order is important? A.10,880 B.20,160 C.1 D.40,320
Answer:
40320 ways
Step-by-step explanation:
Given
Paintings = 8
Required
Determine the number of arrangements
From the question, we understand that the order of arrangement matters;
This implies permutation and is calculated as thus;
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
In this case,
[tex]n = 8[/tex]
[tex]r = 8[/tex], because all paintings are hung;
Substitute 8 for n and r, respectively
[tex]^8P_8 = \frac{8!}{(8-8)!}[/tex]
Evaluate the denominator
[tex]^8P_8 = \frac{8!}{0!}[/tex]
[tex]^8P_8 = \frac{8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{1}[/tex]
[tex]^8P_8 = 40320[/tex]
Hence, the number of arrangement is 40320 ways
can somewon help i need help
Answer:
1875 cm3
Step-by-step explanation:
20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3
Answer:
1,875
Step-by-step explanation:
Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? A.-8 B.-12 C.-32
Answer:
A. -8
Step-by-step explanation:
[tex]x^2-10x+8=0[/tex]
then we subtract 8 from both sides
[tex]x^2-10x+8-8=0-8[/tex]
[tex]x^2-10x=-8[/tex]
The value on the right side is -8 in the process of completing the square.
Answer:
A. -8
Step-by-step explanation:
