a rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle?
Please explain, I dont understand
Answer:
7 inches
Step-by-step explanation:
Now the area of a rectangle equals to length by width or in this scenario, height by base.
Therefore, we take a look at what we already have.
We got 5 inches for height and 35 squared inches as the area.
h= 5 inches a=35squared inches b=?
*Therefore, 5 x b =35
Through substitution this becomes:
*35/5= b
*Therefore b=7 inches
Find the volume of the cone in terms of pi. A cone with a radius of 5 feet and a height of 12 feet.
Answer:
V = [tex]\pi[/tex]r^2 x height
Step-by-step explanation:
Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.
Answer:-Given:-Radius (r) of the cone = 5 feet.
Height (h) of the cone = 12 feet.
To Find:-The volume of the cone.
Solution:-We know,
Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12
Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]
Volume of the cone = [tex] \frac{300\pi}{3} [/tex]
Volume of the cone = 100π in³
Volume of the cone is 100π in³.
Hence, option (d) 100π in³ is correct. [Answer]In the 2009 NFL regular season, quarterback Philip Rivers of the San Diego Chargers had an average of 266 passing yards per game with a standard deviation of 79 yards. Between which two values do you expect the middle 68% of his performance to be?
Your answer
A. 108 and 424
B. 29 and 503
C. 187 and 345
D. 0 and 582
Answer:
C. 187 and 345
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 266 yards per game, standard deviation of 79 yards.
Between which two values do you expect the middle 68% of his performance to be?
By the Empirical Rule, within 1 standard deviation of the mean. So between 266 - 79 = 187 yards and 266 + 79 = 345 yards. The correct answer is given by option C.
Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
The inflation rate was about
nothing%.
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420|
69,420
A passenger train leaves a railway station at 12:00 pm and travels 3 hours on the Northbound track. A second passenger train leaves the same railway station at 12:45 pm and travels 2 hour and 15 minutes on the Southbound tracks at a speed of 20 kilometers per hour faster than the first train. At 3:00 pm the two trains were 360 kilometers apart. How fast was each train traveling?
Answer:
63 kilometers per hour for train A and 83 kilometers for train B
Step-by-step explanation:
Same beginning
Train A: 3 hours to NorthTrain B: 2 hours and 15 minutes to Southbut train B 20 kilometers per hour faster
15 minutes from 20 kilometers per hours are 5 kilometers
So, train B is 45 kilometers travel more far than train B.
= 360 kilometers - 45 kilometers
= 315 kilometers ÷ 5 hours
= 63 kilometers per hours
Hope it's right><
Solve the inequality. |2x-6|+7 less than 15
Answer:
− 1 < x < 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12
Answer:
Step-by-step explanation:
(NO LINK) Elizabeth has a piece of ribbon that is 6.3 meters long. She wants to cut it into pieces that are 0.3 meters long. How many pieces of ribbon did she have?
please explain
21 pieces of ribbon
Step-by-step explanation:
6.3/0.3= 21
7. Find the measure of x.
Answer:
37
Step-by-step explanation:
Here the 2 angles are the same. So
74 = 2x
74/2 = x
x = 37
Answer ;
2x + 74 = 180 2x = 180 - 74 = 106 x = 160/2( refer the attachment for the division )
hence , x = 53
hope my answer helps you !!
A hotel restaurant has a 75% customer approval rating for its service. The restaurant has a 60% customer approval rating for its service and its food. What is the probability that a restaurant customer approves of the food if he or she approves of the service?
The probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Let's use Bayes' theorem to solve this problem.
= P(approves of food | approves of service)
By Bayes' theorem, we can express this probability in terms of the probabilities of approving of the service and the food separately:
P(approves of food | approves of service) = P(approves of service and food) / P(approves of service)
We know that the overall customer approval rating for the service is 75%, so:
P(approves of service) = 0.75
We also know that the customer approval rating for both the service and the food is 60%, so:
P(approves of service and food) = 0.60
Substituting these values into the formula, we get:
P(approves of food | approves of service) = 0.60 / 0.75
P(approves of food | approves of service) = 0.8
Therefore, the probability that a restaurant customer approves of the food given that they already approved of the service is 0.8, or 80%.
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URGENT PLEASE HELP The perimeter of AJKL is 106. Find the length of
midsegment ST.
J
5x +7
S
3x +3
4x-1
(not drawn to scale)
K
A
17
B
15
16
D
18
Answer:
16
Step-by-step explanation:
3x+3+3x+3+5x+7+4x-1+4x-1=106
19x+11=106
19x=95
x=5
JL=5(5)+7=32
ST=1/2 of JL = 1/2 of 32 = 16
The length of midsegment ST will be 6. The perimeter of the triangle is given.
What is perimeter?It's the sum of length of the sides used to make the given figure.
The perimeter of AJKL is 106;
⇒KS+SJ+JL+LT+TK=106
⇒3x+3+3x+3+5x+7+4x-1+4x-1=106
⇒19x+11=106
⇒19x=95
⇒x=5
The side JL is obtained by,x=5
JL=5x+7
JL=5×(5)+7
JL=32
The side ST is obtained
ST=(1/2)×JL
ST= 1/2 of 32
ST = 16
Hence, the length of midsegment ST will be 16.
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Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest.
A) Find the original principal.
B) Using the the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000.
Answer:
See explanation
Step-by-step explanation:
Recall that
Amount = Principal + Interest
The formula is;
A = P(1 + r)^n
Where;
P= principal, n = time and r = rate
Hence;
P + I = P(1 + r)^n
P + 193.03 = P(1.021)^2
P + 193.03 = 1.04P
P - 1.04P = - 193.03
-0.04 P = - 193.03
P = 193.03/0.04
P = $ 4825.75
B) When A = $6000, n=?
From;
A= P(1 + r)^n
6000 = 4825.75 (1.021)^n
6000/4825.75 = (1.021)^n
1.24 = (1.021)^n
Taking logarithm of both sides;
log 1.24 = n log 1.021
n = log 1.24/log 1.021
n = 0.0934/0.009
n = 10 years
24. Which description describes the solutions to this inequality?
9> 52
A. all the possible numbers that are smaller than twenty-five
B. all the positive numbers that are greater than ten
C. all the positive numbers that are larger than twenty-five
D. all the possible numbers that are smaller than ten
If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
WILL MARK BRAINLEST PLS HELP
(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2
Answer:
191.0
Step-by-step explanation:
please help me , i’m so stuck on this problem
Answer:
x = 1
y = 9
Step-by-step explanation:
The diagonals of the parallelogram bisect each other. Therefore:
✔️2x + 13 = 15
2x + 13 - 13 = 15 - 13
2x = 2
2x/2 = 2/2
x = 1
✔️5y - 36 = y
5y - 36 - 5y = y - 5y
-36 = -4y
-36/-4 = -4y/-4
9 = y
y = 9
levi was designing a kite. he needs to determine the measure of
The measure of angle A is 86.
What is a kite?A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.
We have,
From the figure,
We see that,
6x + 4 + ∠A = 180
Now,
∠A = 4x + 26
So,
6x + 4 + 4x + 26 = 180
10x + 30 = 180
10x = 180 - 30
10x = 150
x = 15
Now,
∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86
Thus,
The measure of angle A is 86.
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The complete question:
Levi was designing a kite. he needs to determine the measure of angle A.
The table shows the probabilities of winning or losing when the team is playing away or is playing at home.
home. away. total
Win: 056. 0.24. 0.8
Loss: 0.14. 0.06. 0.2
Total: 0.7. 0.3. 1.00
a) are the events 'winning' and 'playing at home' independent? show your calculations to justify why or why not.
b) Are the events "losing" and "playing away" independent? show your calculations to justify why or why not.
Answer:
Use numbers from respective cells of the table for calculationsa) Are the events 'winning' and 'playing at home' independent?
p(winning and playing at home) = 0.56 p(winning)*p(playing at home) = 0.8*0.7 = 0.56Since the probabilities are same, the events are independent
b) Are the events "losing" and "playing away" independent?
p(losing and playing away) = 0.06p(losing)*p(playing away) = 0.2*0.3 = 0.06Since the probabilities are same, the events are independent
The median of these numbers is
how much less than the mean?
1.5, 0.6, 0.7, 0.85, 5.3
Answer:
The median of the numbers is 3.66 less than the mean
Step-by-step explanation:
To find the median, find the middle of the numbers
0.6, 0.7, 0.85, 1.5, 5.4
To find the mean, add all the numbers and divide by the number of numbers
0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55
22.55/5 = 4.51
To find how less, subtract the median from the mean
4.51 - 0.85 = 3.66
One pizza is $12 and a cake is $18. If Matt has $84, how many pizzas can he buy at most and still afford to buy a cake
Answer:
5 pizzas
Step-by-step explanation:
So first you subtract 18 so that you know that there is at least one cake.
84 - 18 = 66
When you get 66 dollars remaining, you divide it by 12 to see how many you can afford.
66/12 = 5.5
So because you can’t say you have an additonal amount of money, you would actually round down to 5.
So Matt can buy a total of 5 pizzas and 1 cake.
Answer:
5
Step-by-step explanation:
To find the number of pizzas Matt can buy while still being able to afford a cake set up an inequality. The inequality should look like [tex]84\geq 12x+18[/tex] where x is the number of pizzas Matt bought. Then, solve the inequality by first subtracting 18 from both sides, [tex]66\geq 12x[/tex]. Next, divide both sides by 12, [tex]5.5\geq x[/tex]. This means that Matt can buy 5 pizzas. At first, it might seem like you should round up; however, if you rounded up at all then Matt could not afford the cake, so you must round down.
Helpppp!!!! ASAP!! Please???!
Answer:
c 111 mark me
Step-by-step explanation:
and ur welcome lol
Answer:
105
Step-by-step explanation:
if it true i add 65 +40 =105 so yeah
This is a true or false question but I’m not sure how to solve this problem.
Answer: yes true or false
Step-by-step explanation: 7 true, 8 true, and 9 false
Jeff has a square piece
Answer:
Interesting statement
Answer:
and then Jeff says "my name a Jeff"
Find the x-intercept and y-intercept for the following equation. Please show all work 4x-3y=24
Answer:
(6,0) and (0,-8)
Step-by-step explanation:
Substitute a zero for each variable
So 4(0) - 3y = 24 to find the y-int so -3y = 24, y = -8, so y-int is (0,-8)
to find x-int y = 0 so 4x - 3(0) =24 so 4x = 24, so x = 6 so x-int is (6,0)
(5, -1) and (0,5). Find the slope
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6/-5
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Two methods are proposed to measure the effectiveness of a brand of sunscreen.
Method A: Survey adults visiting a beach on a busy weekend. Ask each adult which brand of sunscreen they are using, and assess their arms for sun exposure.
Method B: Volunteers are randomly assigned to one of two brands of sunscreen. Each volunteer is asked to report back at the end of the day, and their arms are assessed for sun exposure.
Which statement is a correct interpretation of these methods?
Both methods are experiments because sun exposure is assessed in both methods.
Both methods are observational studies because neither method attempts to influence responses.
Method A is an experiment because it compares many brands of sunscreen, while method B is an observational study.
Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Step-by-step explanation:
Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.
Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.
Therefore, the correct option is D.
Create a list of steps, in order, that will solve the following equation. PLEASE HELP WILL GIVE BRAINIEST!!!
Answer:
Add one to both sides
Multiply both sides by 4
Take the square root of both sides
subtract 5 from both sides
Step-by-step explanation:
Drag each expression to the correct location on the table.
e each algebraic expressions next to its corresponding verbal description.
Answer:
5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one
Please help thanks! I'll make brainliest
Answer:
48m²
Explanation:
since 3cm represents 4m, the width of the dining hall would be 4m. its length on the drawing is 9cm, which is 3 times of 3cm, so we can also multiply 4m by 3 to find the real length of the dining hall. this would give us 12m.
3cm : 4m
(multiply both by 3)
9cm : 12m
now, we can calculate the area of the dining hall using the equation 12m × 4m = 48m².
i hope this helps! :D