Answer:
l = 11 meters
Step-by-step explanation:
Surface area = s² + 2s*l
Where "l" is the slant height
Given: Surface area = 279 ; side length s = 9
Now plug in these values in the above formula, we get
279 = 9^2 + 2*9*l
279 = 81 + 18*l
18l = 279 - 81
18l = 198
Dividing both sides by 18, we get
l = 198/18
l = 11 meters
Therefore, slant height of the square pyramid = 11 meters
Hope this will helpful.
Thank you.
Which parent function has a constant slope?
A. linear
B. square root
C. quadratic
D. exponential
Explain how you can tell without calculating whether the sum of a positive number and a negative number will be positive, negative, or zero.
Solve by factoring 4x^2+16x+12=0
A delivery person is scheduled to pick up 9 crates of patio pavers. Each crate weighs 14 ton. How much weight will the delivery person need to plan for?
The perimeter of square A is 28 feet less than the perimeter of square B. The area of square A is 161 square feet less than the area of square B. If x and y are the side lengths of square A and square B, respectively, what is the value of x + y?
While Joey was standing outside on a sunny day, his shadow was 5 feet long. The shadow of a nearby Oak tree was 12 feet long. If Joey is 6 feet tall, how tall is the Oak tree?
A. 15.6 feet
B. 14.4 feet
C. 10 feet
D. 13.4 feet
Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standard deviation of 1.2 gallons.
What is the difference in gallons per day used by a car with a z-score of 3 and another car that has a z-score of 0?
A. 1.2
B. 2.6
C. 3.6
D. 4.6
What is the length of bc?
If 1 Chinese yuan equals 0.1558 U.S. dollars, then 1 U.S. dollar equals approximately how many Chinese yuan?
A. 0.4185
B. 0.1558
C. 6.1558
D. 6.4185
Answer:
1 U.S. dollar equals 6.4185 Chinese yuans. The correct answer is D.
Step-by-step explanation:
- The first step is to get a fraction between the currencies. The fraction is obtained by dividing the 1 yuan by 0.1558 U.S. dollars.
[tex]fraction=\frac{1\, \, yuan}{0.1558\, \, U.S.\, \, dollars.}[/tex]
- The second step is to multiply the previous fraction by 1 U.S. dollar.
[tex]\frac{1\, \, yuan}{0.1558\, \, U.S.\, \, dollars}\times 1\, \, U.S.\, \, dollars[/tex]
As you can see, the U.S. dollar units can be cancelled and yuan remains.
[tex]\frac{1\, \, yuan}{0.1558}\times 1[/tex]
- The last step is to perform the division.
[tex]1\, \, U.S.\, \, dollars=6.4185\, \, yuans[/tex]
Thus, 1 U.S. dollar equals 6.4185 Chinese yuans. The correct answer is D.
The value of the investment is expected to grow by 3% per year.
How long will it take to double?
A. About 4 years
B. About 6 years
C. About 12 years
D. About 24 years
Answer:
D. About 24 years
Step-by-step explanation:
Compounding is the means the future value of an amount saved today while discounting means the present value of a future amount.
In other words, we discount to know the present value of $1 in the future while we compound to know the future worth of $1 saved today.
Let the value of the investment be x. if it is expected to double in n years then using the compound interest formula
fv = pv(1 + r)^n
where fv and pv are the future and present values respectively and n is the time, r is the growth rate
2x = x(1 + 0.03)^n
2 = (1.03)^n
log 2 = log (1.03)^n
= n log 1.03
n = log 2/ log 1.03
n = 23.44
This is approximately 24 years hence option D is right
Name at least two pieces of information that might be found in stock listings.
Lexi bought 1 2/5 of green grapes and 2 3/10 of red grapes. Grapes are 2.99 a pound.Did lexi spend more or less then $12?
1. Through music, literature, and painting, the romantic artists attempted to
(1 point)make people fall in love.
express their love for women.
stir the emotions.
get people to reject modern innovations.
2. What do the writers Walter Scott, Mary Shelley, Edgar Allen Poe, and William Wordsworth have in common?
(1 point)They were all men.
They were all French.
They were all English.
They were all romantic writers.
3. Romantic painters aimed to
(1 point)mirror the artist’s imagination.
re-create nature.
meet the highest standards of the École des Beaux-Arts.
f,
Trayvon sells candy bars at a price of $3 each. He purchases every order of 200 candy bars for $350. If the cost of shipping is $0.15 per bar, what is Trayvon’s profit function?
In a statistics class there are 11 juniors and 6 seniors; 2 of the seniors are females; 6 of the juniors are males. if a student is selected at random, what is the probability that the student is either a junior or a female?
enter your answer as a fully reduced fraction.
Answer: [tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
Given: Number of juniors = n(J)= 11
Number of seniors = 6
Total students n(S)=[tex]11+6=17[/tex]
Number of seniors are which are females =2
Number of juniors are which are males =6
Then, number of juniors which are females = [tex]11-6=5[/tex]
Now, total females n(F)=[tex]2+5=7[/tex]
such that number of juniors which are females n(J∩F) = [tex]5[/tex]
Now, the number of students either a junior or a female is given by :_
[tex]n(J\cup F)=n(J)+n(F)-n(J\cap F)\\\\\Rightarrow n(J\cup F)=11+7-5=13[/tex]
Now, the probability that the student is either a junior or a female is given by :-
[tex]P(J\cup F)=\dfrac{n(J\cup F)}{n(S)}=\dfrac{13}{17}[/tex]
Which equation could have been used to create this graph?
A.
y = 5x
B.
y = x + 0
C.
y = x + 1
D.
y = x + 5
Answer:
Its b :)
Step-by-step explanation:
jenny said i'm thinking of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of
From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue. A. The term shows 6 over 13. B. one-half C. start fraction 9 over 11 end fraction D. three-eighths
The required, experimental probability of randomly selecting a marble that is not blue is 9/11. Option C is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
The total number of marbles in the barrel is:
4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles
The number of marbles that are not blue is:
5 yellow + 6 red + 2 green + 5 purple = 18 marbles
Therefore, the experimental probability of randomly selecting a marble that is not blue is:
18 marbles / 22 marbles = 9/11
Thus, the answer is option C: 9 / 11.
Learn more about probability here:
brainly.com/question/14290572
#SPJ3
The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.
Which of the following would be an appropriate scale to use on an 8 1/2 by 11 sheet of paper for a sketch of the room and carpet?
1 inch = 1 foot
1 inches = 1 foot
1/2 inch = 1 foot
2 inches = 1 foot,
The room scale will only fit on an 8 1/2" X 11" page if 1/2 iinch = 1 foot is used. If we take the largest measurement 15 X 20......the 15 would hang over the edge of the paper no matter which way we turn it. With the 1/2" we can get 17 feet on the 8 1/2 side and and 22 on the 11" side.
1/2 inch = 1 foot is the correct answer
The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle.
a 2 + b 2 = c 2
Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.
Answer: a = square root of (c^2 - b^2)
Step-by-step explanation:
A fire fighter has to get to a burning building as quickly as he can. there are three paths that he can take. he can take his fire engine over a large hill (5 miles) at 10 miles per hour. he can take his fire engine through a windy road (7 miles) at 9 miles per hour. or he can drive his fire engine along a dirt road which is 8 miles at 12 miles per hour.
Final answer:
The firefighter should take the path over the large hill as it will take the shortest amount of time to reach the burning building.
Explanation:
The firefighter has three paths to choose from in order to reach the burning building:
Path 1: The firefighter can take the fire engine over a large hill, which is 5 miles long, at a speed of 10 miles per hour.
Path 2: The firefighter can take the fire engine through a windy road, which is 7 miles long, at a speed of 9 miles per hour.
Path 3: The firefighter can drive the fire engine along a dirt road, which is 8 miles long, at a speed of 12 miles per hour.
The firefighter will need to calculate the time it takes to travel each path and choose the path that allows him to reach the burning building quickest.
Let's calculate the time for each path:
Path 1: Time = Distance / Speed = 5 miles / 10 miles per hour = 0.5 hours = 30 minutes
Path 2: Time = Distance / Speed = 7 miles / 9 miles per hour ≈ 0.78 hours ≈ 47 minutes
Path 3: Time = Distance / Speed = 8 miles / 12 miles per hour ≈ 0.67 hours ≈ 40 minutes
Based on the calculations, the firefighter should take Path 1 over the large hill, as it will take him the shortest amount of time to reach the burning building.
What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4) Enter your answer in the box. units²
In an isosceles triangle, the altitude and median are __________. I know they are the same but the same isn't one of the choices. These are the choices:
A. segments opposite one another
B. perpendicular segments
C. the same segment
D. the legs of the triangle,
Mae bought 15 football cards and 18 baseball cards. She seperated them into 3 equal groups.How many sports cards are in each group?
find the inverse of the following function:
[tex]f(x)=-2 \sqrt{3x-1} -5 [/tex]
if x \geq 1/3[/tex]
Side ab in triangle abd corresponds to which side of triangle abc? ab bc ac
Answer:
The correct answer to this question going by the reference photo is AC (answer) that corresponds to AB.
Step-by-step explanation:
Answer:
it is AC
Step-by-step explanation:
option c
Anna and Bill share some money in the ratio 2:5
Anna gets £A
Bill gets £B
Carl and Donna share twice as much money as Anna and Bill share.
They share the money in the ratio 3:1
Carl gets £C
Donna gets £D
Find A:B:C:D in its simplest form
The ratio A:B: C:D in its simplest form is 4:10:15:5.
Let's denote the total amount of money shared by Anna and Bill as M. Since Anna and Bill share this money in the ratio of 2:5, Anna gets 2/7 of M and Bill gets 5/7 of M.
So, we have:
Anna's share (A) = (2/7)M
Bill's share (B) = (5/7)M
Carl and Donna share twice as much money as Anna and Bill, which means the total amount of money shared by Carl and Donna is 2M. They share this money in a ratio of 3:1.
Therefore:
Carl's share (C) = (3/4)(2M) = (3/2)M
Donna's share (D) = (1/4)(2M) = (1/2)M
Now, we want to find the ratio A:B:C: D. To do this, we need to express all shares in terms of the same unit. Since Anna and Bill's total money is M, we will express Carl and Donna's shares in terms of M as well.
We have:
A = (2/7)M
B = (5/7)M
C = (3/2)M
D = (1/2)M
To find the ratio A:B: C:D, we can compare the coefficients of M:
A:B:C:D = (2/7)M : (5/7)M : (3/2)M : (1/2)M
To simplify this, we can multiply each term by the least common multiple (LCM) of the denominators, which is 14. This will give us the ratio in whole numbers without changing the proportions.
Multiplying each term by 14, we get:
A:B:C:D = (2/7)*14 : (5/7)*14 : (3/2)*14 : (1/2)*14
A:B: C:D = 4:10:15:5
Therefore, the simplest form of the ratio A:B: C:D is 4:10:15:5.
Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?
How many different towers can you make using one red, one blue and one yellow block?
Final answer:
Using permutation principles, one can determine that six different towers can be made from one red, one blue, and one yellow block, by multiplying the number of choices for each position (3 x 2 x 1).
Explanation:
The question is about determining the number of different towers that can be made using one red, one blue, and one yellow block. This type of problem involves understanding permutations, as each block can be placed in any order.
To calculate the permutations of the three blocks, we consider how many choices we have for each position in our tower. For the top position, there are three choices (red, blue, yellow), for the second position, there are two remaining choices, and for the last position, there is only one choice left. This gives us a total of 3 x 2 x 1 = 6 different towers. Each tower is a unique combination of the colors in a specific order.
−2x+5y=13
16x+3y=25