Answers
21^2 + b^2 = 29^2
b^2 = 29^2 - 21^2
b^2 = 400
b = 20 yds
Related Questions
53 grams equals how many ounces?
Answers
Answer:
1.86952 ounces
PLS HELP :) Factorise fully the following:
a) x² + x
b) 3x - 9x
c) 7x - 35x
d) 4x^3+ 24x
^2
Answers
Answer:
a) x(x+1)
b) 3x(1-3)
c) 7x(1-5)
d) 4x²(x+6)
Step-by-step explanation:
When factorising, the most important thing to do is find what the terms have in common. Divide each term by what they have in common, then multiply it by the entire expression so the value doesn't change. Also, you can always check your answer by multiplying it out to see if you get what you started with.
a)
x² + x, both terms have 'x' in common:
x( (x²/x) + (x/x) ) = x(x+1)
b)
3x - 9x, both terms have '3x' in common:
3x( (3x/3x) - (9x/3x) ) = 3x(1-3)
c)
7x - 35x, both terms have '7x' in common:
7x( (7x/7x) - (35x/7x) ) = 7x(1-5)
d)
4x³+ 24x², both terms have 4x² in common:
4x²( (4x³/4x²) + (24x²/4x²) ) = 4x²(x+6)
The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings this Saturday?
Answers
Answer:
0.14
Step-by-step explanation:
Using the poisson probability relation :
P(x = x) = (λ^x * e^-λ) ÷ x!
From the question ; mean, λ = 5 ; x = 3
Hence,
P(x = 3) = (5^3 * e^-5) ÷ 3!
P(x = 3) = (125 * 0.0067379) / 6
P(x = 3) = 0.8422375 / 6
P(x = 3) = 0.140
need help offering ten points
Answers
Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area
Answers
Answer:
a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]
b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]
Step-by-step explanation:
a) Lateral area of the figure = 2[tex]\pi[/tex]rh
where; r is the radius of the cylinder, and h is its height.
Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32
= 2011.43 [tex]cm^{2}[/tex]
b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)
= 2[tex]\pi[/tex]r(r + h) - (b x h)
The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,
[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]
100 = 36 + [tex]h^{2}[/tex]
[tex]h^{2}[/tex] = 100 - 36
= 64
h = [tex]\sqrt{64}[/tex]
= 8
h = 8 cm
The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8
= 2640 - 96
= 2544
The surface area of the solid is 2544 [tex]cm^{2}[/tex].
VERY URGENT PLEASE HELP!!!!
Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?
Answers
Answer:
720 I think not sure if im right
Answer: 720 pennies
Step-by-step explanation:
1/2 = 3/6 and 2/3 = 4/6
So the 120 pennies she added was 1/6 of the total size
6 x 120 = 720
The number 42 has the prime factorization 2 · 3 · 7. Thus, 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1 · 42, 2 · 21, 3 · 14, and 6 · 7. Answer a–d below without regard to the order of the factors. (a) List the distinct ways the number "858" can be written as a product of two positive integer factors. (Enter your answer as a comma-separated list of products.)
Answers
Answer:
[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]
Step-by-step explanation:
Given:
[tex]Number = 858[/tex]
Required
List all its distinct product of two numbers
First, we list out the prime factors of the given number.
We have:
[tex]Number = 2 * 3 * 11 * 13[/tex]
So, the possible products are:
(1) 1 and the integer itself.
[tex]1 * 858 = 858[/tex]
(2) 1 prime factor and the product of other primer factors
[tex]2 * 429 = 858[/tex]
[tex]3 * 286 = 858[/tex]
[tex]11 * 78 = 858[/tex]
[tex]13 * 66 = 858[/tex]
(3) A pair of prime factors and the product of remaining primer factors
[tex]6 * 143 = 858[/tex]
[tex]22 * 39 = 858[/tex]
[tex]26*33 = 858[/tex]
Hence, the list are:
[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]
If y varies inversely as x and y= 24 when x = 4. find y when x = 3.
A. 32
B. 18
C. 2
D. 288
Answers
Answer:
A. 32
Step-by-step explanation:
y varies inversely as x
y = k/x
-------------------------
y = 24 when x = 4
find k, the constant of variation
24 = k/4
multiply both sides by 4
96 = k
----------------------------
find y when x = 3
using k = 96
y = 96/3
y = 32
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answers
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation:
What is the value of x.
Will mark Brainlyist if it’s the correct answer.
Please help!
Answers
Answer:
THATS OUR TOPIC ALL YOU NEED IS
hope it helps
Options are:
X=2, y=3
X=3, y=2
X= -2, y=3
X=4, y=8
Answers
Step-by-step explanation:
2x - 5 = y - 5
2x = y
x = y/2
y - 3 = x + 1
Substitute the value of x here,
y - 3 = [tex]\rm{\dfrac{y}{2} + 1}[/tex]
y - 3 = [tex]\rm{\dfrac{y + 2}{2}}[/tex]
2y - 6 = y + 2
y = 8
Now, x = 8/2
x = 4
So, go for D part, it is the correct answer.
Good Night/Day !
Answer:
x = 4, y = 8
Step-by-step explanation:
For the triangles to be congruent by the HL theorem
Then the hypotenuse and legs must be congruent , that is
x + 1 = y - 3 → (1)
2x - 5 = y - 5 → (2)
Subtract (1) from (2) term by term to eliminate y
2x - x + (- 5) - 1 = y - y + (- 5) - (- 3) , that is
x - 6 = - 2 ( add 6 to both sides )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
4 + 1 = y - 3
5 = y - 3 ( add 3 to both sides )
8 = y
How do I work this out?
Answers
Answer:
Option 2, 3(5y-11) - 2
Hope this helps!
What does 5-10n equal ?
Answers
Factor 5 out of 5−10n.
5(1-2n)
Answer for finding the roots(zeros)
N=1/2
Greta has $6 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answers
The slope of the line below is -0.75. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
(2, -1)
Answers
I hope it helps you and good luck in the quiz :)
Miguel and his four friends equally split a bag of hot chips.which choice represents how much each gets? A.1/4 b.1/5 c.4/5 d.1bag
Answers
Answer:
B. 1/5
Step-by-step explanation:
Miguel AND his 4 friends are sharing a bag of hot chips
theres a total of 5
so each person gets 1/5 of the bag
A candy store sells chocolate for $7.01 per pound. The piece you want to but weights .18 pound. How much will it cost?
Answers
it will cost abut $1.26! the exact answer being 1.2618, you can find this by multiplying 7.01 and 0.18, you round it up to something that can be an actual price! hope this helps! <3
Which is correct?
There laughing at the magazine . Their magazine is very funny Put the magazine over they're.
2. Their laughing at the magazine. They're magazine is very funny. Put the magazine over there.
3. They're laughing at the magazine . Their magazine is very funny. Put the magazine over there.
4. There laughing at the magazine . They're magazine is very funny . Put the magazine over their.
Answers
Answer:
3
Step-by-step explanation:
for the first word in three, its they are basically makes the most sense.
Answer:
3 because it is very correct and sounds normal
Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Answers
Answer:
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Step-by-step explanation:
The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
A ladder leans against the side of a house. The angle of elevation of the ladder is 61° when the bottom of the ladder is 12 ft from the side of the house. Find the
length of the ladder. Round your answer to the nearest tenth.
Answers
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answers
Answer:
d
Step-by-step explanation:
The correct option is C. The amount of time in the sun is the response
variable.
Given, An experiment is conducted to measure the effectiveness of a brand of sunscreen.
A response variable measures an outcome of a study. An explanatory variable attempts to explain the observed outcomes. The explanatory variable is usually called independent and the response variable is called dependent.
From the above definition it is clear that A response variable is dependent quantity so here in question, option c states that the amount of time in the sun is the response variable which is right because it is totally depend on the brand of sunscreen.
Hence the correct option is C. The amount of time in the sun is the response
variable.
For more details on response variable follow the link:
https://brainly.com/question/5598457
the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side
Answers
Answer:
5
Step-by-step explanation:
A 30-60-90 triangle's sides equal as follows:
Hypotanuse= x (a number)
Long side= x/2( also can be calculated as x* 1/2) * [tex]\sqrt{3}[/tex]
Short side = x/2 or x * 1/2
12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only
Answers
Answer:
20 mens
Step-by-step explanation:
12 men can plant paddy in 10 hours
1 man can plant the paddy in (10 × 12) hours
10 × 12 / 6 = 20
NO LINKS What is the surface area? 5 cm 8 cm 7 cm square centimeters
Answers
Answer:
262 feet²
Step-by-step explanation:
2(5×8 + 5×7 + 8×7)
2(40+35+56)
2(131)
262
---
hope it helps
Zach scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Adam was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class
Answers
Answer:
Due to the higher z-score, Zach did better relative to his class.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whoever had the higher z-score did better:
Zach:
Scored 67, mean of 54 and standard deviation of 7, so [tex]X = 67, \mu = 54, \sigma = 7[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 54}{7}[/tex]
[tex]Z = 1.86[/tex]
Adam:
Scored 88, mean 97, standard deviation of 6, so [tex]X = 88, \mu = 97, \sigma = 6[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 97}{6}[/tex]
[tex]Z = -1.5[/tex]
Who did better relative to their class?
Due to the higher z-score, Zach did better relative to his class.
Helppppp pleaseeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
6.3
Step-by-step explanation:
Two sides are 9.6 meters long. The perimeter is 31.8 meters.
31.8-9.6-9.6=12.6 the remaining two sides.
12.6/2=6.3 represents the lengths of the other twp sides.
Answer:12.2
Step-by-step explanation:31.8-(9.6x2)=12.2
HELP PLEASE!!!! ILL MARK U BRAINLESS FIRST PERSON TO ANSWER
Answers
Answer:
9/16 <fraction 0.5625 <decimal 56.25%
Step-by-step explanation:
The ___________ of a numerical set of data is the value that occurs most frequently.
Answers
if you invest $1600 at 5.25% for 18 months, how much simple interest is earned?
Answers
Interest calculator for a $600 investment. How much will my investment of 600 dollars be worth in the future? Just a small amount saved every day, week, or month can add up to a large amount over time. In this calculator, the interest is compounded annually.
There are 53 beads on Ashley's necklace. 19 of the beads are pink and the rest are purple. What is the ratio of the number of purple beads to the total number of beads?
34: ?
Answers
Answer:
34 beads are purple so for every 19 pink there are 34 purple hope this helps