The project in her Geometric class is an illustration of equivalent ratios
The approximated height of the flagpole is 13.19 meters
The given parameters are:
Distance from flagpole (D) = 14.25
Distance to the other side of the mirror (d) = 1.35
Kylie's height (h) = 1.25
To calculate the height (H) of the flagpole, we make use of the following equivalent ratios
[tex]\mathbf{D :d = H :h}[/tex]
Substitute known values
[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]
Express as fraction
[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]
Multiply both sides by 1.25
[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]
Multiply
[tex]\mathbf{H = 13.19 }[/tex]
Hence, the approximated height of the flagpole is 13.19 meters
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A fair, six-sided dice is thrown once.
Select the probability of a 3 showing on the dice.
Answer:
1/2
Step-by-step explanation:
The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2
hannah is making maffins. The recipe calls for 5/8 cup of milk to make 20 muffins. What is the unit rate for cups of milk per muffins? For muffins per cup of milk?
Answer:
32 muffins
Step-by-step explanation:
one cup of milk will make 32 muffins
you can set up a proportion of milk/muffins = milk/muffins
let 'x' = number of muffins made from one cup of milk
5/8 ÷ 20 = 1 ÷ x
cross-multiply to get 5x = 20(8)
5x = 160
x = 32
12
rectia
14. Ne
10.) Lars has a current annual salary of $38,650.
If he gets a raise of $3,280, what percent is
the raise of his current annual salary? Round
to the nearest whole percent.
(1) 6%
(2) 7%
2 %
8%
(4) 9%
10%
Answer:
3,280/38650 x 100% = 8%
the orginial price of a pumkin is 3 $ if there is a sale of 25 percent of what is the orginial price
Answer:
$12
Step-by-step explanation:
WILL GIVE BRAINLIEST ‼️ The graph represents the piecewise function:
Answer:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Step-by-step explanation:
You can find the first function if you know the general form of a line:
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.
So in the first case the slope is 1 because the next formula
[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]
And you can find the interception point if extend the line, then in our case is 3.
So the function is:
[tex]f(x) = x + 5[/tex]
In the other case is constant function that's mean that the function has the next form
[tex]f(x) = k[/tex]
Where [tex]k[/tex] is a constant.
So you only have to observe what is the value for each point in the interval, in this occasion is 5.
So the final answer is:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Can someone Please abswer this i'll give 40 points and maybe brainliest for the best answer :]
Answer:
2. d. 0.0008
3. b. 0.07
4. c. thousandths
5. c. 0.005
(−2 1/5) × (−5 3/4) as a fraction
Answer:
-23 over 10
Step-by-step explanation:
Hope this helped :)
Answer:
253/20
Step-by-step explanation:
(−2 1/5) × (−5 3/4) =
1. change both mixed numerals into fractions.
= -11/5 × (-23/4)
2. Since both numbers are negative, the product is positive. Multiply both numerators together. Multiply both denominators together.
= 253/20
253 is the product of 2 prime numbers, 11 and 23. 20 is the product of 2² and 5. There are no common factors in the numerator and denominator, so this fraction cannot be reduced.
Answer: 253/20
Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation
The annual percentage rate is the interest rate for payment for the car
loan.
The mount owed on the car with an APR of 3.1% is approximately $8,693.08.The mount owed on the car with an APR of 7% is approximately $17,310.92.The given parameters are;
The amount of loan Terry and Jim have = $26,004
The annual percentage rate (APR) on one loan = 3.1 %
The annual percentage rate (APR) on the other loan = 7 %
Total interest paid after one year = $1,481.25
Required:
The amount owed on each car
Solution:
Let X represent the loan, with 3.1% APR, we have;
The other loan with 7% APR = 26,004 - X
Therefore;
0.031·X + 0.07·(26,004 - X) = 1,481.25
0.031·X + 1,820.28 - 0.07·X = 1,481.25
1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X
339.03 = 0.039·X
[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]Therefore;
The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08Therefore;
The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =
17310.92.
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Which graph represents the function y = 2x - 4?
ТУ
2
2
.
4
X +
x
-4 -3 -2 -1
X
TO
O
-3 -2 -1
2.34
Answer:
the third graph.
the one where x intercept with 2
Step-by-step explanation:
2x-4=0
2x=4
x=2
therefore the graph should have a line that have a x-intercept of 2
(5.8 times 10^-15) - (4.4 times 10^-14)
Answer:
−3.82×10^-14
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
−3.82×10^-14
product of x and 4 is decreased by one-quarter
Answer:
x
Step-by-step explanation:
x times 4 = 4x
4x in 4 quarters: x x x x
One quarter^^ = x
Select the best appropriate choice below.
Decide whether you have enough information to determine that the triangles are congruent.
If they are congruent, explain why by selecting the appropriate reason.
. .
•ASA Triangle Congruence Theorem
•SAS Triangle Congruence Theorem
•SSS Triangle Congruence Theorem
•AAS Triangle Congruence Theorem
•HL Triangle Congruence Theorem
•Not Enough Information To Determine Triangles Congruent
PLEASE HELP ;-;
Compare -8 and 3. Which statement is not true?
Answer:
B
Step-by-step explanation:
it is the opposite of A, which is true, as |-8| = 8
reflect the quadrilateral graph on the x axis graph
is the X-axis reflection right?
Answer:
Step-by-step explanation:
No . B' (reflection of B) and C' (reflection of C) are in the right position, but D' should be at (4, 1) and A' should be at (-2,-4).
EXPLORE has 24 chess players. A team of 6 players, as well as 1 captain, will be chosen out of the 24 chess players (i.e. choose 7 players and then select the captain) How many different selections can be made?
Answer:2422728
Step-by-step explanation:
The table shows two ways to mix red paint and white paint to make the same shade of pink. How many cups of red paint should be added to 1 cup of white paint to make the same shade of pink?
This is the answer which is not right because this is for points...
An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]
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A particular county with a population of 7.9 million people. In that county, an average of 96 people per year die by falling from a balcony each year.Assuming that these figures are current, what is the probability that a randomly selected individual from this country will die by falling from a balcony in a given year? Express your answer as a decimal rounded to 8 decimal places. Do not convert it to a percentage
Answer:
7.9000000÷96
=0.0822916667
MARK ME BRAINLIEST PLS I WILL GET A NEW RANKa chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian contains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?
Answer:
273 mL of 5%117 mL of 15%Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
Additional comment
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
a simple random sample of 60 items resulted in a sample mean of 80.
Answer:
(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.
Step-by-step explanation:
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating a procedure used to determine the age of an object the researcher discovers that the fossil is 3600. Find the percent error
Answer:
11.1
Step-by-step explanation:
The percentage error for the given data will be 12.5%
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
The percentage error will be calculated as:-
percent error = (|experimental value - theoretical value| / theoretical value) x 100
In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:
percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%
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help please, i’m struggling on this
Answer:
help please, i’m struggling on this
Glen invited 25 people to his birthday party.
20 people attended the party and 5 people did not attend.
What percent of the people whom Glen invited did not attend the party?
Answer:
20% of the invited people did not attend
Step-by-step explanation:
5 out of 25 people invited didn't attend Glen's party. That means the following:
[tex]\frac{5}{25}[/tex] people didn't come which simplifies to [tex]\frac{1}{5}[/tex]
Multiply [tex]\frac{1}{5}[/tex] by the giant one [tex]\frac{20}{20}[/tex] so the denominator is 100 which is the denominator used to find percentages.
You end up with [tex]\frac{20}{100}[/tex]
[tex]\frac{20}{100}[/tex] = 20%
20% is the percentage of the people whom Glen invited did not attend the party.
To find the percentage of people who did not attend the party, we will divide the number of people who did not attend (5) by the total number of people invited (25), and then multiply by 100.
Percentage = (Number of people not attended / Total number of people invited) × 100
Percentage = (5 / 25) × 100
Percentage = 20%
So, 20% of the people whom Glen invited did not attend the party.
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If X is a factor of Y and Y is a factor of Z then X is a factor of Z. If so then how
PLS HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
then z is a factor of x??? huh??
Toby and Emily went to the grocery store to buy food for breakfast for the week. They needed 8 bananas, 2 loaves of bread, 1 bottle of OJ, 1 gallon of milk and a dozen eggs. Each banana was .25, each loaf of bread was 2.55, a bottle of OJ was $2.45 and dozen eggs were $3.15. How much money in total did Toby & Emily spend?
Answer:
$12.70
Step-by-step explanation:
8 x .25 = 2
2 x 2.55 = 5.10
1 x 2.45 = 2.45
1 x 3.15 = 3.15
__________
2 + 5.10 + 2.45 + 3.15 = 12.70 = $12.70
Answer:
they spent $15.85 in all.
Step-by-step explanation:
2.00 banana 5.10 bread 2.45 oj and 3.15 egg, add it all.
The two legs of a right triangle are and . The hypotenuse is . Solve for in terms of the other variables.
What's the answer I'm very confused.
Answer:
the answer is c
Step-by-step explanation:
u welcome
The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
What is the Pythagoras Theorem?According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
How to solve the question?In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.
We are asked to solve for r in terms of other variables.
By Pythagoras theorem in the given right triangle, we can say that:
r² + s² = t², which is the required equation.
To solve for r in terms of other variables, we do as follows:
r² + s² = t²,
or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},
or, r² = t² - s² {Simplifying},
or, r = √(t² - s²) {Square rooting both sides of the equation}.
Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
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can someone help with this problem
Check the picture below.
HELPPP PLEASE!!!!!!
HELP!!!!!!!
Answer:
4 pounds
Step-by-step explanation:
when you match it on the graph it corresponds to 4
steps
match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4
Find the indefinite integral|(12x+5)dx
[tex]\int {12x+5} \, dx[/tex]
For this problem, let's first apply the intergral sum rule.
[tex]\int {12x+5} \, dx = \int{12x} \, dx + \int{5}x \,dx[/tex]
Then, we'll use the reverse power rule on each of these integrals.
[tex]\int{12x} \,dx = 6x^2+C[/tex]
[tex]\int{5} \,dx = 5x+C[/tex]
So the indefinite integral of [tex]\int{12x+5} \,dx[/tex] is [tex]6x^2+5x+C[/tex].
Remember that we need our constant of integration, [tex]C[/tex], because of if we take the derivative of a constant, it'll be 0.
Hope this helps!
Hi there!
[tex]\int\limits {12x+5} \, dx[/tex]
Recall the following rules:
[tex]\int\limits {x^n} \, dx = \frac{x^{n+1}}{n+1}[/tex]
Use this rule to evaluate. Remember to include the constant:
[tex]\int\limits {12x+5} \, dx = \frac{12x^{1+1}}{1+1} + 5x +C[/tex]
[tex]\int\limits {12x+5} \, dx = 6x^2 + 5x + C[/tex]
please help! will mark brainlist
Answer:
Step-by-step explanation:
Group B, lower values of dots, with lower amounts of dots.