What is the surface area of a regular square pyramid with a slant height of 12 cm in a lateral edge of 13 cm?
Answers
Answer:
340 cm squared
Step-by-step explanation:
[tex]l=2\sqrt{13^{2} -12^{2} }=10cm[/tex]
[tex]A=l^{2} +2l*h\\10*10+2*10*12=340cm^{2}[/tex]
Related Questions
Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
Answers
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
Regina earns 45 points every time she shops on a certain website. She needs a total of 2,880 points to receive a free item. So far, she has earned 540 points. How many more times will Regina have to shop on the website in order to earn the additional points she needs for a free item?
A.
18
B.
38
C.
52
D.
64
Answers
Answer:
C. 52
Step-by-step explanation:
You can simply subtract 540 from the total amount of points
2880-540=2340
and then you can divide that by the number of points she gets every time she shops on the website
2340÷45
Which would equal 52
So, C. 52 would be the correct answer.
Hope this helps!
In the figure, the horizontal lines are parallel and AB = BC = CD. Find JM.
A.15
B.10
C.5
D. 20
Answers
Answer:
By the transversal theorem, if segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.
Therefore
JK=KL=LM=5
=>
JM=3*5=15
Step-by-step explanation:
Math question, can you guys answer this? 25 points.
Answers
Answer:
5. 1/29
Step-by-step explanation:
1/. and the bottom numbers says 30-1 which is 29 soooo 1/29
I really need help answering this please
Answers
Answer:
Step-by-step explanation:
NM=26
LM=[tex]\sqrt{26^{2} +33^{2} }[/tex]
LM=42.0
HELP ME PLS :) !!!!!
Answers
Answer:
30
Step-by-step explanation:
78-48=30
78-48=30 es la respuesta
At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.
Answers
Answer:
3.75Step-by-step explanation:
at a basketball game the home team scores 60% of the points. The home team scores 45 points. How many points are scored in all?
Answers
Answer:
75 points
Step-by-step explanation:
45÷60%×100%=75 points in total
If the sum of two numbers is 4 and the sum of their spuares minus three times their product is 76, find the numbers
Answers
Answer:
[tex]Suppose~that~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=4.........(1)\\or, y=4-x.......(2)\\From~the~second~condition,\\x^2+y^2-3xy=76\\or, (x+y)^2-2xy-3xy=76\\or, 4^2-5xy=76\\or, -5xy = 76-16\\or, -5xy = 60\\or, xy = -12\\From~eq^n~(2),\\x(4-x)=-12\\or, 4x-x^2=-12\\or, x^2-4x-12=0\\or, x^2 +2x-6x-12=0\\or, x(x+2)-6(x+2) = 0\\or,(x+2)(x-6) = 0\\i.e. x = -2 ~or ~6\\When~ x=-2, y=4-(-2) = 4+2 =6\\When~x=6, y=4-6 = 4-6 = -2\\So,~the~two~numbers~are~-2~and~6.[/tex]
Answer:
-2 and 6
Step-by-step explanation:
Mark the first number as x
and the second number as y
Since x + y = 4
y = 4 - x
// substitute the given value of y into the equation
[tex]x^{2} + y^{2}[/tex] - 3xy = 76
[tex]x^{2}[/tex] + [tex](4-x)^{2}[/tex] - 3 * x * (4 - x) = 76
[tex]x^{2}[/tex] + 16 - 8x + [tex]x^{2}[/tex] - 12x + 3[tex]x^{2}[/tex] = 76
[tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 3[tex]x^{2}[/tex] - 20x = 76 - 16
5[tex]x^{2}[/tex] - 20x = 60
5[tex]x^{2}[/tex] - 20x - 60 = 0
// divide both sides by 5
[tex]x^{2}[/tex] - 4x - 12 = 0
// write -4 x as a difference, this way it is faster than calculating discriminant
[tex]x^{2}[/tex] + 2x - 6x - 12 = 0
// factor out x and -6 from the expression
x (x +2) - 6 (x +2) = 0
(x - 6) * (x + 2) = 0
// there are two possible cases
1) x - 6 = 0
2) x + 2 = 0
1) x = -2
2) x = 6
// substitute the given value of x into the equation
1) y = 4 - x = 4 - (-2) = 6
2) y = 4 - x = 4 - 6 = -2
Now we get two pairs (-2; 6) and (6; -2), which are the solutions to the system
Since their sequence as the question suggests is irrelevant, the numbers are -2 and 6
A pair of cleats and a pair of crocs is $200 the difference in the cost is $55 determine the cost of each type of footwear
Answers
(X-55)crocs
X +(x-55) = 200
2x=255
X=127.50
127.50-55= 72.5
So one is 127.50 and the other is 72.50
(I’m guessing in the problem it says which one is cheaper) therefore you know what answer correlates with the crocs and cleats
Selena has 3 bagels. She wants the bagels for breakfast for 5 days. If she eats the same amount of bagel each day, how much bagel should she eat each day for breakfast.
Answers
Answer:
0.6
Step-by-step explanation:
origanal price $60 sale price $45
Answers
Answer:
di ko po alam ehh
Step-by-step explanation:
sorry po
Answer:
Step-by-step explanation:
What is the question?
Price reduced by $15
Percentage reduction = 15/60 = 0.25 = 25%
Angle is comparing the price of each shirts for summer camp at two companies.. Company A charges an initial fee of $50 and $12 per shirt Company B charges and initial fee of $10 and $15 per shirt. Evaluate the expressions 50 + 12x and 10 +15x =40 to find the total cost to print 40 shirts at each company. What is the difference in cost between the companies
Answers
Answer:
Company A's cost would be $530
Company B's cost would be $610
difference is $80
Step-by-step explanation:
Which expressions are equivalent to z ⋅ 3 1/3
select all that apply!!!!!!!!!!!!!!
3z+1/3
6z−2/3z−3z+z
z ⋅ 4−2/3
z(4−2/3)
z(1/3+3)
Answers
Answer:
Options 2), 4 , and 5 are CORRECT
Step-by-step explanation:
Notice that z * 3 1/3 = z * (3 + 1/3) = z * (9/3 + 1/3) = z * 10/3 = 10/3 z
1) The first option is not good'
2) 6 z - 2/3 z - 3 z + z = 4 z - 2/3 z = 12/3 z - 2/3 z = 10/3 z So this option is CORRECT
3) z * 4 - 2/3 is not good since 2/3 is not multiplied by z
4) z ( 4 - 2/3) = z (12/3 - 2/3) = z * 10/3 so this one is CORRECT
5) z (1 / 3 + 3) = z ( 1/3 + 9/3 ) = z (10/3) So this one is also CORRECT
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Answers
Step-by-step explanation:
this is the answer i hope to get full mark
This is because 15 is %25 of 60(full price)
Hope this helps! Have a great day! :)
To keep in shape, Vincent exercises at a track near his home. He requires 40 minutes to do 4 laps running and 7 laps walking. In contrast, he requires 18 minutes to do 2 laps running and 3 laps walking. Assuming he maintains a consistent pace while running and while walking, how long does Vincent take to complete a lap at each pace?
Answers
Answer:
He completes a lap running in 3 minutes, and walking in 4 minutes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the time needed to complete a lap running.
y is the time needed to complete a lap walking.
He requires 40 minutes to do 4 laps running and 7 laps walking.
This means that:
[tex]4x + 7y = 40[/tex]
[tex]4x = 40 - 7y[/tex]
He requires 18 minutes to do 2 laps running and 3 laps walking.
This means that
[tex]2x + 3y = 18[/tex]
Multipluing everything by 2
[tex]4x + 6y = 36[/tex]
Since [tex]4x = 40 - 7y[/tex]
[tex]40 - 7y + 6y = 36[/tex]
[tex]y = 4[/tex]
And
[tex]4x = 40 - 7y[/tex]
[tex]4x = 40 - 7*4[/tex]
[tex]4x = 12[/tex]
[tex]x = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
He completes a lap running in 3 minutes, and walking in 4 minutes.
At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.
Required:
a. Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
b. Which mistake (a Type I error or a Type II error) could you have made? Interpret the potential error in context.
Answers
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Part A: The given evidence is convincing to provide the true proportion regarding the attendees.
Part B: The error is a type 1 error in the hypothesis testing.
Type 1 Error and Type 2 ErrorA type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.
A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.
Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.
The number of attendees who ate the fish and got sick is calculated as given below.
No. of attendees =[tex]\dfrac {64}{80}[/tex]
% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]
% of No. of attendees = 80%
The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.
The number of attendees who did not eat the fish and got sick is calculated as given below.
No. of attendees = [tex]\dfrac {39}{60}[/tex]
% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]
% of No. of attendees = 65%
Part A
The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.
Part B
The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.
This error is a type 1 error in the hypothesis testing.
To know more about the type 1 and type 2 errors, follow the link given below.
https://brainly.com/question/20914617.
10. Which is the equation of a line that passes through (-2,-1) and (-4,-3)?
Answers
Answer:
Y axis
Step-by-step explanation:
Dont have a explanation
Pls help extra points and mark brainlist
Answers
Answer:
80 + 30h
Step-by-step explanation:
(10 * 8) + (10 * 3h)
=80 + 30h
[tex]\Large\boxed{\tt Anwer:~80+30h}[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
We need to distribute the 10 to 8 and 3h. In order to do this, we can multiply 10 by 8 and 10 by 3h.
[tex]\tt 10*8=80\\10*3h=30h[/tex]
Then, we add them together to get the answer.
[tex]\tt 80+30h[/tex]
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST
2. Hank used a semicircle, a rectangle, and a triangle to form the following composite figure. What is its area in square centimeters? Use 3.14 to approximate . Show your work.
Answers
Answer:
Step-by-step explanation:
The area of a circle is 3.14r^2
The area of the triangle is bh/2
The area of the rectangle is wh
A=3.14(5^2)/2+8(10)/2+5(20)
A=3.14(25)/2+40+100
A=179.25 cm^2
Answer:
Step-by-step explanation:
Area of rectangle = 5 × 20 = 100 cm²
Area of triangle = 0.5 × 10 × 8 = 40 cm²
Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²
Total area = 100+40+ 12.5π ≈ 179.25 cm²
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation
Answers
Answer:
Ill help if u still need
Step-by-step explanation:
A writer was paid $9,000 for a 3,000-word article. How much is that per word? A $0.33 B $27,000 ) $3 D) $30
Answers
Answer:
A. $0.33
Step-by-step explanation:
Because you divide 3000/9000
to get 0.33
Answer: three (c)
Step-by-step explanation:
3*3000=9000
or
9000/3= 3000
saben cual es la raiz cuadrada de 3025 con metodo de aproximaciones sucesivas
Answers
Answer:
which language is this
hello help me please
Answers
Answer:
Step-by-step explanation:
divide each by 2 and see if you can get a proper fraction
Solve for x
-18x + 21 > -15
OR
20x – 13 >27
Answers
Answer:
x<-3 or x>2, 2<x<-3
Step-by-step explanation:
Subtract/add from each side then divide, if dividing by a negative reverse the sign.
Answer:
all values are x
Step-by-step explanation:
Find the segment lengths
Answers
Answer:
y = 18
Step-by-step explanation:
[tex] \frac{21 + 7}{21} = \frac{y + 6}{y} [/tex]
[tex] \frac{28}{21} = \frac{y + 6}{y} [/tex]
Cross multiply
28*y = 21(y + 6)
28y = 21y + 126
28y - 21y = 126
7y = 126
y = 126/7
y = 18
Does side lengths 4, 8 and 12 form a right triangle?
Answers
Answer:
No it does not form a triangle.
Step-by-step explanation:
If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
Pattern if decreasing perfect squares 121, 100, 81, __,49, 36 What number do you need to square to find missing term?
Answers
Answer:
8
Step-by-step explanation:
121 is 11^2, 100 is 10^2, 81 is 9^2, 49 is 7^2, and 36 is 6^2. 64 is missing in the pattern, and since each number is a perfect square, the number you'd need to square is 8.
Help me with this math question please !!!
Answers
Answer:
-1 and 14 if you put these numbers in the place of x
HELP MEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSS I BEG I BEG
Answers
Answer:
A. There are 8 seventh grade students
B. There are 14 total questions on the test
Step-by-step explanation:
