9514 1404 393
Answer:
∠A ≈ 72°
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
cos A = (2.9² +2.5² -3.2²)/(2(2.9)(2.5)) = 4.42/14.5
The inverse cosine function is used to find the angle, given its cosine.
A = arccos(4.42/14.5)
∠A ≈ 72°
i need help with this!
9514 1404 393
Answer:
64.6
Step-by-step explanation:
One standard deviation is 4.3. Then +2 standard deviations is ...
(+2)(4.3) = +8.6
This amount added to the mean gives ...
56 +8.6 = 64.6 . . . . +2σ from the mean
The parent function f(x) 3 to the square root of x is transformed to g(x)=2f(x-3). Which is the graph of g(x)?
Answer:
the answer is B
Step-by-step explanation:
If a triangle has side lengths a, b, and c, and if a^2 + b^2 = c^2, then the converse of the Pythagorean theorem says that the triangle is a(n)
A. equiangular triangle
B. scalene triangle
C. equilateral triangle
D. right triangle
7056 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows and the number of plants in each row
Answer:
84 rows
84 plants on each row
Step-by-step explanation:
Given
[tex]Plants = 7056[/tex]
Required
The number of rows
Since the number of rows (r) and the plants on each row (p) are the same, then the area to be planted on is:
[tex]Plants = r * p[/tex]
Where
[tex]r =p[/tex]
So, we have:
[tex]Plants = r * r[/tex]
[tex]Plants = r^2[/tex]
This gives:
[tex]7056 = r^2[/tex]
Take square roots
[tex]84 = r[/tex]
Rewrite
[tex]r = 84[/tex]
two thirds of a number is negative six. find the number
Answer:
-9
Step-by-step explanation:
Two-thirds of a number is negative six. The number is -9. Let the number is x, 2/3x =-6, x=-6x3/2=-9.
Alexander is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 100% recyclable aluminum.
Over one month, he collected 1297 cans.
What is the mass, in kilograms, of these cans?
Answer:
22 kg
Step-by-step explanation:
1297 cans * (17 grams)/(1 can) * (1 kg)/(1000 g) = 22.049 kg
Answer: 22 kg
Help me pls and thanks important!!!!
Answer:
33
1/2(83-50)=25
83-x=50
x=33
What is the relation between the variables in the equation
X^4/y=7?
a. x varies inversely as y
b. x4 varies directly as y
c. y varies directly as x4
d. y varies inversely as x4
Answer:
b. x^4 varies directly as y.
Step-by-step explanation:
x^4 = 7×y
x^4 is proportional to y.
If you answer this you will get 100 points pls answer hurry it’s due in 20 mins
Answer:
Option B, medianStep-by-step explanation:
We see the data is not uniform. One of the prices is very high compared to the others. Since there is an outlier, the median is the best measure of central tendency.
This is the second option.
Person A leaves his home to visit his cousin, person B, who lives 243 miles away. He travels at an average rate of 46 miles per hour. One half-hour later, person B leaves her house to visit person A, traveling at an average rate of 64 miles per hour. How long after person B leaves will it be before they meet?
Which sentence describes a way to determine the missing number number in the pattern?
Answer:
70910 not sure
Step-by-step explanation:
70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =
What is the volume of the cylinder below?
3
Compute the loss of head and pressure drop in 200 ft of horizontal 6-in diameter asphalted cast iron pipe carrying water with a mean velocity of 6 ft/s. For water: rho = 1.94 slug/ft3 and μ = 2.09x10-5 slug/ft-s (ν = μ/rho). Assume ε = 0.0004 ft.
Answer:
The answer is below
Step-by-step explanation:
12 inches = 1 ft.
6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.
Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.
The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²
The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²
ε/D = 0.0004 ft./ 0.5 ft. = 0.0008
Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.
The head loss (h) is:
[tex]h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft[/tex]
The pressure drop (Δp) is:
Δp = ρg[tex]h_f[/tex] = [tex](62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2[/tex]
explanation would be appreciated, last word is indicated.
Answer:
AC = 28
Step-by-step explanation:
Ok, we know that:
Points A, B, and C are collinear.
Point B is between A and C.
We want to find the length AC (distance between A and C), if we know that:
AB = 16
BC = 12
Ok, knowing that B is between the other points, we know that:
AB + BC
defines the total length of the segment that connects the 3 points.
Thus, if we define this segment as a length, we only use the endpoints, A and C.
Then we have that:
AB + BC = AC
now we can solve this:
16 + 12 = AC
28 = AC
If 3 is added to a number and the sum is multiplied by 7,gives 91 as result. Find the number.
Answer:
10
Step-by-step explanation:
10+3 = 13
13 x 7 = 91
Answer:
7(3x)=91
21x=91
x=91/21
If x + y =6, y +z = 7 and z + x =9, what is the average (arithmetic mean) of
x,y and z?
Answer:
[tex]\frac{22}{3}[/tex]
Step-by-step explanation:
x + y + y + z + z + x = 2x + 2y + 2z = 22
x + y + z = 22
22 ÷ 3 = [tex]\frac{22}{3}[/tex]
Sue believes that the two cylinders shown in the diagram have equal volumes. Is Sue correct? Explain why or why not
Sui believes that the two cylinders have an equal volume is correct.
The volume of cylinder = Base area×Height
=(πr²)×(height)
This is also true for oblique cylinder.
Both cylinders have same height and radius also so, both cylinders have equal volume.
V=πr²h
V=π×(5)²×11.5
V=903.208m³
It can also be visualized that the oblique cylinder have circular pieces. These pieces can be solid together to form a regular cylinder with the same height (i.e. 11.4 m). So both the cylinders have equal volume.
What is a cylinder?A cylinder is a three-dimensional shape in geometry. A cylinder is round and has a top and bottom in the shape of a circle. The top and bottom are flat and always the same size.
Thus, Sue is correct, and it's true that the two cylinders shown in the diagram have equal volumes.
Learn more about cylinders here,
https://brainly.com/question/15891031
#SPJ2
PLSS HELP ASAP TYSM <33 SORRY I COULDN'T FIND SCIENCE LOLL
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me i really do need the help
Each of the problems below was solved incorrectly, for each problem, find the mistake in the work/ answer. Explain what the mistake is, and find the correct answer.
Explain the mistake:
Find the correct answer(equation):
2. Find the value of x
Explain the mistake:
Find the correct answer(equation):
3. Find the value of x
Explain the mistake:
Find the correct answer(equation):
Question 1
The mistake is that vertical angles are congruent, and don't always add up to 180 degrees.[tex]5x=100 \longrightarrow x=20[/tex]Question 2
Angles that add to form a right angle add to 90 degrees, not 180 degrees.[tex]3x+39=90 \longrightarrow 3x=51 \longrightarrow x=17[/tex]Question 3
Angles that add to form a right angle add to 90 degrees, not 180 degrees.[tex]3x+39=90 \longrightarrow 3x=51 \longrightarrow x=17[/tex]find the smallest number by which 2925 should be divided to be a perfect square
Answer: 13
Step-by-step explanation:
Given
The number is 2925
The prime factorization of 2925 is
[tex]\Rightarrow 2925=3\times 3\times 5\times 5\times 13\\\Rightarrow 2925=3^2\times 5^2\times 13[/tex]
To make 2925 a perfect square, we have to eliminate 13 from it, so divide 2925 by 13 to make it a perfect square
The perfect Sqaure becomes [tex](3\times 5)^2=225[/tex]
can someone answer this please
Answer:
x = 14
Step-by-step explanation:
Please note, the word trapezium is a synonym for the word trapezoid.
This problem gives one the area of the trapezoid, a well as one of the measurements of a base and the height of the figure. One is asked to find the length of the other base. This can be done by using the formula to find the area of a trapezoid. This formula is the following,
[tex]A=(h)(\frac{b_1+b_2}{2})[/tex]
Where (A) represents the area of a trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represents the bases and (h) represents the height. Substitute in the given values and solve for the unknown base.
[tex]b_1=7\\h=6\\A=84[/tex]
[tex]A=(h)(\frac{b_1+b_2}{2})\\[/tex]
Substitute,
[tex]84=6(\frac{7+b_2}{2})\\[/tex]
Inverse operations,
[tex]84=6(\frac{7+b_2}{2})[/tex]
[tex]14=\frac{7+b_2}{2}[/tex]
[tex]28=7+b_2[/tex]
[tex]14=b_2[/tex]
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer. square root of the quantity x minus 2 end quantity plus 8 equals x
Answer:
x = 11.
Step-by-step explanation:
√(x - 2) + 8 = x
√(x - 2) = x - 8
Square both sides:
x - 2 = x^2 - 16x + 64
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
x = 6, 11.
Test for an extraneous solution:
x = 6:
Left side = √(6-2) + 8 = 10
Right side = 6
x = 11:
Left side = √9 + 8 = 11
Right side = 11
So x = 6 is extraneous.
What sample size is needed to give a margin of error within in estimating a population mean with 95% confidence, assuming a previous sample had .
Answer:
[tex]n = (\frac{1.96\sqrt{\pi(1-\pi)}}{M})^2[/tex]
The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion [tex]\pi[/tex](if no previous estimate use 0.5) and M is the desired margin of error.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Needed sample size:
The needed sample size is n. We have that:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]\sqrt{n}M = 1.96\sqrt{\pi(1-\pi)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{\pi(1-\pi)}}{M}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{\pi(1-\pi)}}{M})^2[/tex]
[tex]n = (\frac{1.96\sqrt{\pi(1-\pi)}}{M})^2[/tex]
The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion [tex]\pi[/tex](if no previous estimate use 0.5) and M is the desired margin of error.
A factory that makes granola bars uses 1/6 of a barrel of raisins in each batch.
Yesterday, the factory used 5/6 of a barrel of raisins. How many batches did the
factory make yesterday?
Answer:
5
Step-by-step explanation:
(5/6) / (1/6) = 5
Answer:
5 batches
Step-by-step explanation:
Divide yesterday's batches by the usual.
(5/6)/(1/6) = 5
Since it only takes 1/6 to make a batch and they used 5x that we know they made 5 batches.
Abigail is using blocks to build a tower. The blocks are 3 inches, 4 inches, and 8 inches tall. She has stack 3 blocks. How many different heights are possible for the tower?
9514 1404 393
Answer:
10
Step-by-step explanation:
Possible tower heights using 3 blocks are ...
{9, 10, 11, 12, 14, 15, 16, 19, 20, 24}
There are 10 different heights possible.
_____
Each block can be used 1, 2, or 3 times.
Using a 3 in block as the smallest, we have ...
3+3+3 = 9
3+3+4 = 10
3+3+8 = 14
3+4+4 = 11
3+4+8 = 15
3+8+8 = 19
Using a 4-in block as the smallest, we have ...
4+4+4 =12
4+4+8 = 16
4+8+8 = 20
And ...
8+8+8 = 24
What is the next term of this sequence? -5,5,-6,6,-7,7,-8,..
Answer:
8,-9,9
Step-by-step explanation:
Round 3,872.3155 to the nearest hundred
Answer:
3,872.316
Step-by-step explanation:
Answer:
to nearest hundreds it would be: 3,900
Step-by-step explanation:
872 it closer to 900 than 800
If A = {x x is an even integer), B = {xx is an odd integer), C = {2, 3, 4, 5), and D = {8, 9, 10, 11), list the element(s) of the following set.
AND
An D= { } (Use a comma to separate elements in the set.)
Answer:
AnD = {8,10}
Step-by-step explanation:
A = {2, 4, 6, 8 ,10 ...}
B = {1, 3, 5, 7 ,9 ...}
C = {,2 ,3 ,4 ,5 ...}
D = { 8, 9 ,10 ,11 ...}
AnD = {8, 10}
HELP!!!
A spherical baseball has a diameter of 5 inches and weighs 7 grams per cubic inch. What is the closest weight of the baseball rounded to the nearest gram?
Answer:
69
Step-by-step explanation:
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Solve one-sixth ÷ 6 = ___
Answer:6/6
Step-by-step explanation:
1/6 divide 6
Keep
Flip
Change
your gonna keep 1/6 as a fraction
then flip the second fraction so 6 would’ve been 6/1 but it’s gonna flip so it should look like this 1/6
after you will change the sign so the division will become multipliaction so it should look like 1/6 x 6/1 which will equal to 6/6