two angles are supplementary. One angle measures at 75° more than twice the measure if the other. What are the measurements of the two angles?
Please help me with question 5
The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the surface area of the pyramid?
Answer : Surface area of pyramid = 4406832 square cm.
Explanation :
Since we have given that
Side of square base = 1212 cm
Slant height of pyramid = 1818 cm
As we know that ,
[tex]\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}[/tex]
[tex]\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm[/tex]
Now,
[tex]\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}[/tex]
Hence, surface area of pyramid = 4406832 square cm.
Can anyone help me on this question?:) tysm ily
Jane has $10000 to invest in AAA and AA bonds. The AAA bond yields a 5% and requieres a minimum investment of $1000. The AA bond yields an average of 8% and requires a minimum investment of $2000. Jane requires that at least three times as much money should be invested in the AAA bond as in the AA bond
miss Roberts simplified this ratio 2:6 explain how you know she is incorrect can you tell where she might have made a mistake
Find three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68
The three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68 are: Integers 5, 7 and 9.
Let;
x = smallest odd integer(x+2) = middle odd integer(x +4) = largest integerThe question however suggests that;
The sum of the smallest number and 7 times the largest number is 68.
Therefore;
x + 7(x+4) = 688x + 28 = 688x = 40x = 5.In essence,
the smallest number is x = 5.the middle number is x+2 = 7.the largest number is x+4 = 9Read more:
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Simplify this equation.
(equation and choices in image)
b.)x³-7x²+3x+36
(x-4)(x²-3x-9)
Distribute x and -4 to x²-3x-9
=x²(x)-3x(x)-9(x)+x²(-4)-3x(-4)-9(-4)
=x³-3x²-9x-4x²+12x+36
Combine all liked terms
=x³-7x²+3x+36
Question 7 plz help me saner this question
A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?
Answer:
a x n
Step-by-step explanation:
There are a pounds in n identical boxes. That means you would have to multiply to get the answer.
HELP MEEE!!! PLEASE!!!
Which trinomial is the product of the expression below ? (2R-3) (R+12)
which of the following values of x makes the rational expression below equal to zero? 2x+16/x+5
a. 5
b. -5
c. 8
d. -8
Answer:
d. -8
Step-by-step explanation:
Remember that you cannot possibly divide anything by 0, so if the denominator gives as a result 0, you are dealing with an impossibility, in order for a franction to give as a result 0, the numerator has to be 0, so we just need to equalize the numerator to 0 and solve for x to know how can we make the rational expression 0:
2x+16=0
2x=-16
x=-16/2
x=-8
So in order to make the expression equal to 0 x needs to be equal to -8,
Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer.
Answer:
She gave out a total of 250 fliers and 99 of them were given out Wednesday. The fraction for that would be 99/250.
Step-by-step explanation:
Consider the provided information.
She gave out 85 fliers on Monday 66 fliers on Tuesday, and 99 fliers on Wednesday.
Now, calculate the total number of fliers she give:
She give 250 fliers in total.
We need to find the fraction of the fliers she give out on Wednesday.
On Wednesday she give 99 fliers and total she give 250 fliers.
99/250
Hence, she give out 99/250 fraction of fliers on Wednesday.
Which of these is equivalent to 92 + 42? (9 + 4)2 (9 × 4)2 (9 × 9) + (4 × 4) (9 + 9) + (4 + 4)
find the sum and express it in simplest form.
[tex](b - 3x) + ( - 5b + 6x - 5)[/tex]
An equipment rental company charges a flat rate of $25, plus $13 per day for insurance. Kyle has $121. Write an inequality to represent the number of days, d, for which he can rent equipment
Final answer:
The inequality to represent the number of days, d, Kyle can rent equipment with $121 is 25 + 13d ≤ 121. After solving, the result is d ≤ 7, meaning Kyle can rent the equipment for at most 7 days.
Explanation:
To represent the number of days, d, that Kyle can rent equipment given he has $121, we set up an inequality taking into account the flat rate and the daily insurance cost. The equipment rental company charges a flat rate of $25 plus $13 per day for insurance. Therefore, the cost for d days would be $25 + $13d. Since Kyle has $121, we can write the inequality as:
25 + 13d ≤ 121.
This inequality shows that the total cost of renting the equipment for d days, which includes the flat rate and the per-day insurance cost, must be less than or equal to the amount Kyle has.
To solve for d, subtract 25 from both sides:
13d ≤ 121 - 25
13d ≤ 96
Now, divide both sides by 13 to find the maximum number of days Kyle can rent the equipment:
d ≤ 96 / 13
d ≤ 7
Thus, Kyle can rent the equipment for at most 7 days.
Kyle can rent equipment for at most 7 days with $121, considering a flat rate of $25 and a $13 per day insurance charge, as represented by the inequality 25 + 13d ≤ 121.
Explanation:To find the inequality that represents the number of days, d, for which Kyle can rent equipment given that he has $121, we need to consider both the flat rate and the per day insurance charge.
The flat rate for renting equipment is $25, and the daily insurance charge is $13 per day. So, the cost for d days would be the flat rate plus the daily charge times the number of days, which can be represented by the following equation:
Cost = Flat rate + (Insurance charge per day × Number of days)
Cost = 25 + 13d
Since Kyle only has $121, he can spend up to that amount. Therefore, the inequality would be:
25 + 13d ≤ 121
To solve for d:
13d ≤ 121 - 25
13d ≤ 96
d ≤ 96/13
≤ 7.38
Since Kyle can't rent equipment for a fraction of a day, we take the whole number part of the division result. This means that Kyle can rent the equipment for at most 7 days.
Help!
Could it be...??
a. /_ A
b. /_ BCA
c. /_ b
d. /_ CBA
The glass container is filled to a height of 2.25 inches. What percent of the container is filled with sand?
Which describes the difference between the graph of f(x) = 3x2 + 2 and g(x) = 9x2?
B) The graph of f(x) is obtained by shifting g(x) up 2 units and compressing vertically by a factor of 3.
C) The graph of g(x) is obtained by shifting f(x) right 2 units and stretching vertically by a factor of 3.
D) The graph of f(x) is obtained by shifting g(x) right 2 units and stretching vertically by a factor of 3.
The solution is, the graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down, as f(x) = x changes to h(x) = 3x² - 7.
What is transformation of graph?Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
here, we have,
Given that,
here is a graph of f(x) = x which is transformed into h(x) = 3x² - 7.
The graph of a the equation -
f(x) = x
is a straight line.
now, we get, When it is squared and multiplied by 3, we get -
h(x) = 3x²
which is a parabola stretched by a factor of 3 in vertical direction along
+ y axis.
When 7 is subtracted, it will shift the graph down by 7 units.
h(x) = 3x² - 7
Therefore, the graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down, as f(x) = x changes to h(x) = 3x² - 7.
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Complete question:
What is the effect on the graph of f(x) = x when it is transformed to
h(x) = 3x2 - 7?
A. The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units down.
B. The graph of f(x) is horizontally compressed by a factor of 3 and
shifted 7 units to the right.
C. The graph of f(x) is horizontally stretched by a factor of 3 and
shifted 7 units down.
D. The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units to the right
The heights in centimeters of 5 students are: 165, 175, 176, 159, 172 find the sample median, sample mean and sample variance.
The value of the sample median is 172.
The value of the sample mean is 169.4.
The value of the sample variance is 52.3
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The heights in centimeters of 5 students are: 165, 175, 176, 159, 172
Now,
Arrange the heights in order.
159, 165, 172, 175, 176
Median = 172
Mean = (159 + 165 + 172 + 175 + 176) / 5 = 847 / 5 = 169.4
Sample variance.
= ∑ (x - Mean)² / (n - 1)
= 209.2 / 4
= 52.3
∑ (x - Mean)²
= (159 - 169.4)² + (165 - 169.4)² + (172 - 169.4)² + (175 - 169.4)² + (176 - 169.4)²
= 108.16 + 19.36 + 6.76 + 31.36 + 43.56
= 209.2
Thus,
The sample mean = 169.4
The sample median = 172
The sample variance = 52.3
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Given ΔJKL : ΔXYZ, find the scale factor.
6 8
---- ----
9 x
Answer:
it is 16
Step-by-step explanation:
If 9 is added to twice a number and this sum is multiplied by 6 the result is the same as if the number is multiplied by 7 and 14 is added to the product. What is the number?
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 8 and 13
Final answer:
The length of the third side of a triangle with side lengths of 8 and 13 must be greater than 5 units and less than 21 units according to the triangle inequality theorem.
Explanation:
To find the range for the length of the third side of a triangle given two sides with lengths of 8 and 13, we can use the triangle inequality theorem.
This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the absolute value of their difference.
The inequalities for the third side, let's call it c, are:
c < 8 + 13c > |13 - 8|Therefore, we can say:
c < 21c > 5So the length of the third side must be greater than 5 units and less than 21 units.
y - 5 = 0.5x2 + 6x - 3 How many x-intercepts does the graph of this quadratic have?
Answer:
its (A)
Step-by-step explanation:
How do you turn 43% into a fraction
To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. 43% can be written as the ratio 43 to 100 or 43/100.
Therefore, 43% can be written as the fraction 43/100.
In 2015, the price of a business math text rose to $150. This is 8% more than the 2014 price. What was the old selling price?
Answer: old selling priceof businesss math text rose = $138.89
Explanation:
In year 2015, Price of business math text rose = $150
Suppose privious price (year 2014)= x dollars
Previous price is 8% less than the price in 2015 because given that $150 is 8% more than previous year price.
Now write the linear equation for the given information:
x + 8% of x = 150
Solve for x
x + [tex] \frac{8}{100} [/tex]x = 150
x + 0.08x = 150
1.08x = 150
divide 1.08 both the side
x = [tex] \frac{150}{1.08} [/tex]
x = $138.89
Old selling price = $138.89
An urn initially contains 5 white balls and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 more balls of the same color. what is the probability that of the first 2 balls selected, one is white and one is black?
Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 16 and its height is 6 ?
how to erite a sequence of 1/4 , 1/2,3 write a rule for the sequence 1/4 1/2 3/4
The sequence 1/4, 1/2, 3/4 increases by 1/4 for each subsequent term, defining it as an arithmetic sequence with a common difference of 1/4.
To find a rule for the sequence 1/4, 1/2, 3/4, we can examine the pattern and observe that the sequence consists of fractions that increase by 1/4 each step. Starting with 1/4, when we add 1/4, we get 1/2, and adding another 1/4 to 1/2 gives us 3/4. So the rule of the sequence can be written as 'start at 1/4 and add 1/4 each step'. This pattern is an arithmetic sequence with a common difference of 1/4.