Answer:
h = 16
Step-by-step explanation:
By applying the Pythagorean Theorem, the slant height is given by the formula:
[tex]\sqrt{r^2+h^2}[/tex]
34 = [tex]\sqrt{30^2 + h^2}[/tex]
[tex]34^2 = 30^2 + h^2[/tex]
[tex]1156 = 900 + h^2[/tex]
[tex]256 = h^2[/tex]
[tex]h = \sqrt{256}[/tex]
[tex]h = 16[/tex]
Please Find attached
Answer:
Using distance formula :
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB² = 45
AB = 6.71 units
Find the volume of the prism.
10 points
3 in.
11 in.
18 in
Answer: 594 in^3
Step-by-step explanation:
3*11*18=594 in^3
This is the rectangular prism formula.
you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill
Answer:
$3.78
Step-by-step explanation:
find 107%(100%=$54+7%=107%)
54*107/100= $57.78
find the amount of sale tax
57.78-54=$3.78
AYUDAAA porfavorrrr primera urna 6 bolas verdes y 3 rojas segunda urna 3 verdes, 3 blancas y 3 rojas tercera urna 6 verdes, 1 blanca y 2 rojas a) si sacan una bola de la primera urna que color es más probable de que se obtenga b) calculen las probabilidades de sacar una bola verde, una roja y una blanca de cada urna c) si quieren tomar una bola verde que urna elegirian d) supongan que sacan una bola verde de la tercera urna y no la regresan, lo que se conoce como extraccion sin reemplazo ¿que probabilidad tiene cada bola de salir en la siguiente extraccion?
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)
Answer:
height = 5 ft
Step-by-step explanation:
The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.
Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:
6^2 = 3^2 + height^2
36 = 9 - height^2
height^2 = 27
height = 5.19 ft
Rounding to the nearest foot, we have height = 5 ft
Answer: 5
Step-by-step explanation:
what is the solution to this expression[tex]\frac{4}{x^{2} \cdot t} \frac{x}{t^{2} }[/tex]
Answer:
4/xt 3 sqaured
Step-by-step explanation:
What is the slope of the line y = 20x?
Answer:the slope is 20
Step-by-step explanation:
Answer:
m=20
Step-by-step explanation:
The line is in point slope form, or
y=mx+b
where m is the slope and b is the y-intercept
For the equation
y=20x
20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20
2. What is the width of this ornament if the volume is 2,226.09 cm^3?
A. 16.2 cm
B. 10.5 cm
C. 20.10 cm
D. 8.1 cm
Answer:
A. 16.2 cm
Step-by-step explanation:
I took the test
The width of ornament is 16.2 cm.
What is Volume of sphere?The formula for the volume of a sphere is V = 4/3 πr³.
As, the ornament is in shape of sphere.
Volume of sphere= 4/3 * π * r³
2226.09 = 4/3* 3.14 * r³
r³= 2226.09 * 3 / 4*3.14
r³= 6,678.27 / 12.56
r³ = 531.7093949044586
r= 8.101
Hence, width = 2* 8.101= 16.2 cm
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Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?
Nat says that a square is a rectangle because it has four right angles. Amy says that a square is a rhombus because it has 4 equal sides. Who is correct? Explain *
Answer:
They are both correct in special cases of a rectangle and rhombuses
Step-by-step explanation:
A square is quadrilateral, with four equal sides and four equal interior angles of 90°
A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore, a square is a special case of a rectangle with all the sides equal
A rhombus is also a equilateral quadrilateral with having equal opposite angle.
Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .
Image of spinner is attached.
Answer:
Probability of the compound event is [tex] \frac{1}{9} [/tex]
Step-by-step explanation:
Given that the spinner contains 3 numbers: 1, 2, & 3.
A coin has 2 outcomes, a head & a tail.
Lets take,
P(A) = event of spining an odd number
P(B) = event of flipping heads
P(C) = event of spinning a 3
We now have:
P(A) = [tex] \frac{2}{3} [/tex]
P(B) = [tex] \frac{1}{2} [/tex]
P(C) = [tex] \frac{1}{3} [/tex]
They are all independent events
Probability of the compound event would be derived by multiplying all the events.
P= P(A) * P(B) * P(C)
[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]
Probability of the compound event is [tex] \frac{1}{9} [/tex]
Please help asap!!!!!!!!!!!!!!!!
Answer: ok what do you need help with
Step-by-step explanation:
Which expression is equivalent to -3 1/8 minus 2 1/2
Answer:
-5 5/8
Step-by-step explanation:
A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.
I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.
Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!
Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.
Answer:
W(x) = $50 + ($14/hr)x
Step-by-step explanation:
hope this helped
Factor the monomial for 27n^2o
Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)
Can you please help me with this question please and i will give you a Brainiest
Answer:
They all end in 0 or 5
Step-by-step explanation:
Answer:
They all end in 0 or 5.
Step-by-step explanation:
15, 20, 25, and 30 all end in either 0 or 5.
Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?
Answer:
4.375 miles
Step-by-step explanation:
7/8/12=x/60
12x=60(7/8)
12x=52.5
x=4.375
10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *
Answer:
$9
Step-by-step explanation:
Let's make the price of toilet paper x, and the clorox wipes y. We can then use the given information to create a system of equations.
Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!
2x+4y=36 (1)
x+3y=27 (2)
2x+6y=54 (3) (i just mutiplied (2) by 2 so that i could eliminate x)
2y=18 (3)-(1)
y= $9/pack
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
leg: 29 m; hypotenuse: 46 m
54.4 m
35.7 m
40.9 m
50.5 m
The length of the third side of a right triangle is 35.7 m
What is a right triangle?"It is a triangle whose one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]
where z is the hypotenuse and x, y are other two sides of the right triangle."
For given question,
We have been given the two sides of a right triangle.
leg = 29 m; hypotenuse = 46 m
Let 'a' be the other leg of the right triangle.
Using Pythagoras theorem,
[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]
Therefore, the length of the third side of a right triangle is 35.7 m
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Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a) How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?
The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Liam is a tire fitter.
It takes him 124 minutes to fit 4 tires to a truck.
The number of minute for the loading of one tire will be
⇒ 124 / 4
⇒ 31 minutes per tire
a) Then the number of the minutes for loading 6 tires to a truck will be
⇒ 31 × 6
⇒ 186 minutes
b) If he works for 93 minutes. Then the number of tires can he fit will be
⇒ 93 / 31
⇒ 3 tires
The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.
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Solve fraction 2/3x -1/2=1/6x-1/9
Answer:
Exact Form: x=7/9 Decimal Form: 0.7 (repeating)
Step-by-step explanation:
Hope this helps!! :)
helpp pt.4 plzzzzzz
Answer:a and c
Step-by-step explanation:
Find the solution to x^2=64
Answer:
[tex] \boxed{x = 8} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]
If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k
Answer:
De value of k is 9
Step-by-step explanation:
6,-1
b(1,3)
(k,8)
am using bodmas
a6-1×1=6a
b1×3=3b
abc=8
6a+3b+8=17-8
=9
Circle O is shown. T O, Q O, P O, K O, and J O are radii. The measure of arc Q T is 0.14 r, the measure of arcs Q P, P K, and K J are r. The length of O J is 4. There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a full circle. 2π radians is equivalent to degrees.
Answer:
There are exactly 2 π radians in a full circle.
There are approximately 6.28 radians in a full circle.
2π radians is equivalent to 360 degrees.
Answer:
1 4 4
Step-by-step explanation:
Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he will roll either a 2, 3, or a 4 on his next roll?
Answer:
50%
Step-by-step explanation:
Hope it helps
what is the probability of not drawing a green marble? If there are 6 blue, 9 red, 5 green
Answer:xxxxxxxxx
ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Step-by-step explanation:
When Wyatt commutes to work, the amount of time it takes him to arrive is normally
distributed with a mean of 45 minutes and a standard deviation of 3 minutes. Using
the empirical rule, what percentage of his commrtes will be between 36 and 54
minutes?
Answer:
Step-by-step explanation:
Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:
36 = 45- 3 x 3
54 = 45 + 3 x 3
Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.
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what is 4 raised to the third power
Answer:
4³=64
Step-by-step explanation:
A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.
Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).
》 4×4×4=64