Answer:
66.84 feet.
Step-by-step explanation:
Distance around = length of straight part + length of the semi-circle
= 2*13 + π*13
= 66.84 feet.
Find the surface area of the prism.
Answer:
total surface area = 324 m²
lateral surface are = 132 m²
top surface area = 96 m²
bottom surface area = 96 m²
two boys decided to buy a computer. The second boy had 5/6 of the amount of money the first had. The first boy had 7/8 of the price of the computer. Together they had $696 more than they needed to pay. What was the price of the computer
Answer:
1152$
Step-by-step explanation:
b1 = 7/8 C
b2 = 5/6 b1 = 35/ 48 C
7/8 C + 35/48 C = C + 696
42/48 C + 35/48 C = 48/48 C + 696 * 48/48
(42 + 35 - 48 ) C = 696 * 48
29 C = 33408
C =1152.
[tex]How could you rewrite 0.05 x 10 as a division equation
Answer:
Step-by-this may be done by rearranging the equation. First, we start with the given equation:
0.05*10 = 0.5
In order to form a division equation, we may divide both sides by one of the terms being multiplied on the left-hand side. Let us divide by 10. By doing so, we get:
0.05 * 10 / 10 = 0.5/10
0.05 = 0.5/10ep
explanation:
Jasmine deposited $700 in an account earning 9% interest compounded annually,
To the nearest cent, how much will she have in 1 year?
At the end of one year Jasmine will have the sum of $763
Calculation of interest rateThe principal amount (P)= $700
The interest rate(R) = 9%
The period of investment (T) = 1 year
Therefore simple interest
= P×T×R/100
= 700×1×9/100
= 6300/100
= $63
Therefore, the total amount she will receive at the end of a year = 700 + 63
= $763
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Solve this:
Raj is 12m years old. His son was born when he was 9m years old.
(i) Find Raj's age 5 years later.
(ii) Find the sum of their ages in 5 years' time.
Answer:
i = 17 Years old
ii = 25 years
Step-by-step explanation:
i = 12 + 5 =17
ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25
5. Graph the hyperbola ya
16
What are the equations of the asymptotes?
Answer: y = ± [tex]\frac{4}{3}x[/tex]
Step-by-step explanation:
Just believe it, it's the right one. I don't know how to explain it.
Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0
Answer:
x = 0.7401 ± 0.7401i, x = 0
Step-by-step explanation:
(6 • (x^2)) + 5x^6 = 0
(2•3x^2) + 5x^6 = 0
5x^6 + 6x^2 = x^2 • (5x^4 + 6)
x^2 • (5x^4 + 6) = 0
x^4 = -6/5 = -1.200
x = ∜ -6/5
⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.
→ x = 0
→ x = 0.7401 ± 0.7401i
Giving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]
c = [tex]\sqrt{9 + 16}[/tex]
c = [tex]\sqrt{25}[/tex]
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 inWhat is the solution of startroot x 12 endroot = x?
Answer:
x = 0 ; x = 1
Step-by-step explanation:
[tex]\sqrt{x^{12}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{x^{6\times 2}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{\left( x^{6}\right)^{2} } =x[/tex]
[tex]\Longleftrightarrow |x^{6}|=x[/tex]
[tex]\Longleftrightarrow x^{6}=x\ \ \ ;\ |x^{6}|=x^{6}[/tex]
[tex]\Longleftrightarrow x^{6}-x=0[/tex]
[tex]\Longleftrightarrow x(x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0 \ \ or\ \ (x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x^{5}=1[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x=1[/tex]
Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.
What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable?
A: 137; her original calculation is reasonable
B: 145; her original calculation is not reasonable
C: 310; her original calculation is reasonable
D: 390; her original calculation is not reasonable
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
Find the midpoint M between V(3,7,-6) and W(-4,-8,7). Put your answer in the form (x,y,z)
Answer:
M(-1/2, -1/2, 1/2)
Step-by-step explanation:
To find the midpoint of a line segment, average the coordinates of the end points.
M = (A +B)/2
__
M = (V +W)/2
M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2
M = (-1/2, -1/2, 1/2)
The midpoint between V and W is M(-1/2, -1/2, 1/2).
The formula
K = 5/9 (F - 32) + 273.15 converts a Fahrenheit temperature to a Kelvin temperature. Solve the formula for F. Then find the Fahrenheit temperature for a Kelvin temperature of 310.15 K
Answer:
See below ~
Step-by-step explanation:
Solving for F
5/8 (F - 32) + 273.15 = K5/8 (F - 32) = K - 273.15F - 32 = 8/5 (K - 273.15)F = 8/5 (K - 273.15) + 32Finding F when K = 310.15 K
F = 8/5 (310.15 - 273.15) + 32F = 1.6 (37) + 32F = 59.2 + 32F = 81.2°FWhat is the value of x?
Answer:
130° is the correct value of x.Step-by-step explanation:
In the question, there's an quadrilateral whose sum of all exterior angle is 360°.
140° + 34° + 56° + x = 360°
➝ 230° + x = 360°
➝ x = 360° - 230°
➝ x = 130°
Thus, The value of x is 130°.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I "turly" know the answer is 1/3, its quite easy actually
Step-by-step explanation:
Can someone try to help me I’m trying to get to a 91
State if the three numbers can be the measures of the sides of a triangle. 11, 3, 8
we have three sides, let's look at the two smaller sides first.
check the picture below atop.
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
so the third side being 11 is a no dice.
When 2(x+2y-x-1-2y+3) is simplified, what is the resulting expression?
X+
0 17 x + 2 y +6 plssss help
Answer:
4
Step-by-step explanation:
2x+ 4y -2x-2-4y+6
2x-2x+4y-4y-2+6
0+0+4
How many layers of 1 inch cubes fill the carton
Answer:
3
Step-by-step explanation:
4 layers 15 cubes
the total amount of cubes =5*3*4
Identify the value of y and the length of each chord.
The length of the chord RT, PQ, and RS will be 5, 14, and 13. Then the correct option is C.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The graph is given below.
The ratio will remain constant. Then we have
y/10 = 4/8
y = 5
Then the length of PQ will be
PQ = 4 + 10
PQ = 14
Then the length of RS will be
RS = 5 + 8
RS = 13
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A multiple-choice test with 50 questions has five possible
choices for each question. There are 4 marks for each correct
answer, -1 mark for each incorrect answer, and 0 marks for each
unanswered question.
What is the total score of a student with 35 correct answers, 10
incorrect answers and 5 unanswered questions?
Answer:
130
Step-by-step explanation:
[tex](35*4)-(10*1)-(5*0)=130[/tex]
The diameter of a circle is 16 centimeters. How would you calculate the area?
A. TT. 82 cm.
B. 28 cm.
C. TT 162 cm.2
D. 2. T. 16 cm.
Write this percentage as a fraction in its simplest form. 41 %
Answer:
41/100.
Step-by-step explanation:
Per cent (%) means 'per hundred'.
as a fraction: 41/100.
As a decimal it is 0.41.
Find the three arithmetic means in this sequence.
2, __, __, __, -18
Answer:
-16 -14 -12
Step-by-step explanation:
This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.
Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>
Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, with the general [tex]n[/tex]-th term
[tex]a_n = a_1 + (n-1) d[/tex]
Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :
[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]
[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]
[tex]\implies 5a_1 + 20d = 17[/tex]
and
[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]
[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]
[tex]\implies 5a_1+25d= 15[/tex]
Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :
[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]
[tex]\implies 5a_1 = 25[/tex]
[tex]\implies \boxed{a_1 = 5}[/tex]
An exam consists of 10 multiple choice questions and 5 open response
questions. Students are responsible for answering 8 of the multiple choice ques-
tions and 3 of the open response questions. How many different ways can a
student complete the exam?
Answer:
I think it's 55
Step-by-step explanation:
10C3 + 5C3
11
12
13
14
15
16
17
18
19
20
Which equation is equivalent to 4x+3 = 64?
O 2x+6=24
O 22x+6=26
O 42x+6 - 42
O 4X+3 - 46
Answer:
Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64
The equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
The given equation is [tex]4^x^+^3=64[/tex]
Four to the power of x plus three equal to sixty four
x is the variable in the equation
We have to find the equivalent equation
We know that 2×2×2× 2×2×2 , 2⁶=64
[tex]4^x^+^3=2^6[/tex]
Now [tex](2^2)^x^+^3=2^6[/tex]
[tex]2^6^x^+^6=2^6[/tex]
Hence, the equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
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An online store typically ships packages at a rate of 15 orders every 5 hours. At this rate, how many hours will it take to ship 156 orders?
Answer:
52 hours
Step-by-step explanation:
figure it out genius
An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity is given after combining as x + y.
Given that,
Online store ships packages at a rate of 15 orders every 5 hours.
We need to determine how many hours it will take to ship 156 orders.
The rate can be expressed as 15 orders per 5 hours or 15/5.
To figure this out,
Set up a proportion.
If the online store ships 15 orders every 5 hours,
Then the rate is 15 orders per 5 hours, or 15/5.
Now, let's set up the proportion:
15/5 = 156/x
To solve for x, cross multiply:
15x = 5(156)
Now, divide both sides of the equation by 15 to isolate x:
x =780/15
Calculating that out, x is equal to 52.
Hence, it will take approximately 52 hours to ship 156 orders at the given rate.
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Find the zeros of the function.
y = (x + 1)(x − 3)(x - 6)
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
Answer:
there are 120 slices of orange.
Step-by-step explanation:
The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
She made a mistake on step 3
The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]
This is what her steps should look like
[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]
Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.
Answer: The answer is in fact C.
Step-by-step explanation:
I am the lizard king, I can do anything.