Answer:
10.9
Step-by-step explanation:
Given that,
Hypotenuse = 12
One leg = 5
We need to find the another leg. Let it is b. We can solve it using Pythagoras theorem as follows :
[tex]H^2=h^2+b^2\\\\b^2=H^2-h^2\\\\b^2=12^2-5^2\\\\b=10.9[/tex]
So, another leg is 10.9.
What is Limit of (x cubed + 3 x squared minus 5) as x approaches negative 2?
–25
–15
–9
–1
Answer:
–1
Step-by-step explanation:
We want to find the following limit:
[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5[/tex]
Since the function does not have any discontinuity(point in which the denominator is 0, for example), we just replace the values of x by -2. So
[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5 = (-2)^3 + 3(-2)^2 - 5 = -8 + 12 - 5 = -13 + 12 = -1[/tex]
The value of the limit is -1.
Answer:
Step-by-step explanation:
D. -1
MULTIPLE CHOICE QUESTION
What is the mean
11.65
11.85
11.45
11.25
Pls I need help ASAP rn
Answer:
A) 48
Step-by-step explanation:
Given:
b = 16
c = 20
Pythagorean thm:
a² + b² = c²
a² + 16² = 20²
a² + 256 = 400
a² = 144
a = 12
To find perimeter:
P = a + b + c
P = 12 + 16 + 20
P = 48
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score. (Round to two decimal places if necessary.)
Answer:
-2.00
Step-by-step explanation:
Applying,
Z = (x-μ)/σ.................. Equation 1
Where Z = Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.
From the question,
Given: x = 48, μ = 70, σ = 11
Substitute these values into equation 1
Z = (48-70)/11
Z = -22/11
Z = -2.00
Hence Michelle's z-score is -2.00
Cubes having side lengths of 3/4in. are used to fill the right rectangular prism shown.
Answer:
36 cubes
Step-by-step explanation:
the pic is up there
Given a cylinder with a radius of 6 cm and a height of 12 cm, find the volume of the cylinder. Use 3.14 for \pi
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1356.48 \: {cm}^{3} [/tex]
Help someone please T^T
Answer:
4
Step-by-step explanation:
Please answer these two questions
Solve the system of equations by graphing. {y=x+1
y=2x
Answer:
x=1, y=2
Step-by-step explanation:
Use a 10-by-10 grid to model the percent.
1. 43%
Answer:
I diminished the amount that
Step-by-step explanation:
A bakery sells 12 gourmet orange zest cupcakes for $36.00. Select all the statements that are true.
Since this bakery sells 12 gourmet orange zest cupcakes for $36.00, all the statements that are true include the following:
A. $3.00/1 is a unit rate for the cost per cupcake.
B. Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
C. 36/12 represents the ratio of $36.00 for 12 cupcakes.
How to determine all of the true statements?First of all, we would determine the unit rate for the cost per cupcake by using the following mathematical expression;
Unit rate = Cost of cupcake/number of cupcakes
Substituting the given parameters into the unit rate formula, we have the following;
Unit rate = $36.00/12
Unit rate = $3.00.
This ultimately implies that, the unit rate for the cost per cupcake is equal to $3.00.
Note: 1 dozen is equal to 12 pieces.
For the cost of 2 dozen cupcakes, we have the following:
Cost of 2 dozen cupcakes = 12 × 2 × 3
Cost of 2 dozen cupcakes = $72.00.
For the cost of 8 cupcakes, we have the following:
Cost of 8 cupcakes = 8 × 3
Cost of 8 cupcakes = $24.00.
For the cost of 6 cupcakes, we have the following:
Cost of 6 cupcakes = 6 × 3
Cost of 6 cupcakes = $18.00.
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Complete Question:
A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.
$3.00/1 is a unit rate for the cost per cupcake.
Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
36/12 represents the ratio of $36.00 for 12 cupcakes.
Using the same rate, it would cost $24.50 for 8 cupcakes.
Using the same rate, the bakery can sell 6 cupcakes for $20.00.
Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard deviation of 486.9 and 24.01, respectively. What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk
Answer:
0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Mean and standard deviation of 486.9 and 24.01, respectively.
This means that [tex]\mu = 486.9, \sigma = 24.01[/tex]
What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk?
This is the p-value of Z when X = 525 subtracted by the p-value of Z when X = 477.
X = 525
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{525 - 486.9}{24.01}[/tex]
[tex]Z = 1.59[/tex]
[tex]Z = 1.59[/tex] has a p-value of 0.9441
X = 477
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{477 - 486.9}{24.01}[/tex]
[tex]Z = -0.41[/tex]
[tex]Z = -0.41[/tex] has a p-value of 0.3409
0.9441 - 0.3409 = 0.6032
0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk
NEED THE ANSWER ASAP!!
pls help ASAP!! person with correct answer will be marked brainliest
Answer:
41.8°
Step-by-step explanation:
Opposite angles are equal.
Answer:
41.8 degrees
Step-by-step explanation:
They are vertical angles, meaning they are the same, just opposite one another.
What are the main properties of a parallelogram?
use the parallelogram (ABEF) to help you
Answer:
It must be number 2.
1 and 3 number is wrong as parallelogram don't need have right angle
HELPPPP PLS HELP PLS
Answer:
V = 30 cubic inches
Step-by-step explanation:
Given:
height (h) = 10 in.
Base area (B) = 9 in.²
Required:
Volume of the pyramid
Solution:
Formula for finding volume of triangular pyramid = ⅓(B)(h)
Plug in the values
V = ⅓(9)(10)
V = (3)(10)
V = 30 cubic inches
Graph the solution to this system of inequalities in the coordinate plane. y > 1/4x + 6 y>2x - 4
Answer:
WVAD
Step-by-step explanation:
wdvvvvavdv
write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x
Answer:
1. 8 + t
2. g/15
3. 5b
4. 32 - x
Step-by-step explanation:
1. the sum of 8 and t
8 + t
2. the quotient of g and 15
g/15
3. the product of 5 and b
5b
4. the difference of 32 and x
32 - x
Mindscapes: 11, 14, 16
Complete the table for the function y = 7x + 2,
*LOOK AT PHOTO*
a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m high,how far is the car from the building?
Given :
A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.
To Find :
How far is the car from the building.
Solution :
Let, distance between car and the building is x m.
So,
[tex]tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m[/tex]
Hence, this is the required solution.
Brianna received pledge amounts of $89, $35, $22, $36,
$31, and $28 for her participation in a walkathon. Which
measure of center best describes the pledge amounts?
Answer:mean
Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean
Which statement is NOT true about a rhombus?
A. It has four congruent sides.
B. It has two pairs of parallel sides.
C. It has four congruent angles.
D. It is a parallelogram.
Answer:
C. It has four congruent angles.
Step-by-step explanation:
=======================================================
Explanation:
A) This statement is true, so we can rule it out. A rhombus by definition has four sides the same length. Think of a square but the sides can be slanted or the angles could be something different from 90 degrees.
B) This statement is true. The opposite sides of a rhombus are always parallel. Any rhombus is always a parallelogram, but not the other way around.
C) False. This is the answer. We could have a square, and in which case we have four congruent angles. But we could slant the sides and have the angles be something else. All that matters is that all four sides are the same length.
D) True. Any rhombus is a parallelogram as mentioned in part B. However, some parallelograms are not a rhombus. Consider any rectangle in which the length and width are not the same. The sides are parallel, but we don't have all four sides the same length.
Evaluate arccos (-1/2)
Answer:
120 degrees
Step-by-step explanation:
plugged into calculator
cos inverse of -1/2
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A ladder 15 feet long leans against a wall making a 71 degree angle with the ground. How far from the base of the wall is the bottom of the ladder?
1. 14.18 feet
2. 4.88 feet
3. 15.86 feet
4. 9.38 feet
Answer:
2. 4.88 feet
Step-by-step explanation:
cos∅ = adj/hyp
cos71 = adj/15
adj = 15*cos71
adj = 4.88
Given f(x) = x + 5, find f(-1).
Answer:
☄ [tex] \large{ \tt{EXPLANATION}} : [/tex]
Here , We are provided : f ( x ) = x + 5 & we're asked to find out f ( - 1 ). Now , All you need to do is assuming the value of x as -1.[tex] \large{ \tt{↬When \: x = - 1 ,\: f( - 1) = - 1 + 5 = \boxed{ \underline{ {4}}}}}[/tex]
[tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \bf{4}}}}}[/tex]
✺ Success can never be achieved by , " I'll do it tommorrow " kind of people !
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Help please only correct answers
Answer:
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Step-by-step explanation:
Given the following data;
Present value, P = $300
Interest rate, r = 8%
Number of times, n = 1/4
Note: Future value = 2 * P = 2*300 = $600
Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.
To find how long she would have to invest her money in order to double it, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
write the ratio of the garden's actual length to its length in the drawing. Use the variable x to represent the unknown measurement
Please can someone help me I’m confused and lost
Answer: the answer is the third one
Step-by-step explanation:
well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3
someone help asapp pls
The value of the probability P(A or B) is 0.77
How to evaluate the probability?The given parameters are:
P(A) = 0.64
P(B) = 0.25
P(A and B) = 0.12
The probability is then calculated as
P(A or B) = P(A) + P(B) - P(A and B)
Substitute the known values in the above equation
P(A or B) = 0.64 + 0.25 - 0.12
Evaluate the like terms
P(A or B) = 0.77
Hence, the value of the probability P(A or B) is 0.77
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