What is the length of the hypotenuse of the triangle?
sides 7cm and 3cm
A. sqrt 20cm
B. sqrt 23cm
C. sqrt 40cm
D. sqrt 58cm
The length of the hypotenuse of the triangle is √58 cm (Option D).
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's label the sides of the triangle:
Side a = 7 cm (one of the legs)
Side b = 3 cm (the other leg)
Side c = ? (the hypotenuse)
The Pythagorean theorem is:
[tex]c^2 = a^2 + b^2[/tex]
Substitute the given values:
[tex]c^2 = 7^2 + 3^2\\\\c^2 = 49 + 9\\\\c^2 = 58[/tex]
Now, we can find the square root of both sides to solve for c:
c = √58 cm
So, the length of the hypotenuse of the triangle is √58 cm.
The correct answer is: D. √58 cm
To know more about hypotenuse, refer here:
https://brainly.com/question/26803885
#SPJ2
PLEASE PLEASE HELP WITH THIS
A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square centimeters. A dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?
To the nearest whole percent, the probability is
A) 18
B) 25
C) 35
D) 50
Answer: B) 25
Step-by-step explanation:
Given: A rectangular dartboard has an area of 648 square centimeters.
The triangular part of the dartboard has an area of 162 square centimeters.
If a dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, the probability (in percent) that it lands inside the triangle will be :
[tex]\dfrac{162}{648}\times100=25\%[/tex]
Hence, the probability that it lands inside the triangle = 25%.
What is the median of the data set represented by the dot plot? A number line with line with two dots above the number 10, one dot above the number 12, one dot above the number 13, one dot above the number 14, one dot above the number 15, one dot above the number 18, and two dots above the number 19.
Answer:
The median of the data set is 14.
The graph of a proportional relationship passes through (3, 24) and (1, y). Find y.
PLEASE HELP WILL GIVE BRAINLIEST!!!The table below represents the closing prices of stock ABC for the last five days
Answer:
A. [tex]y=-8.583x+475.215[/tex]
Step-by-step explanation:
We are given,
The table representing the closing prices of stock for the last five days is,
Day Value
1 472.08
2 454.26
3 444.95
4 439.49
5 436.55
Using the linear regression calculator, we have that,
The linear equation that best fits the data is [tex]y=-8.583x+475.215[/tex]Thus, option A is correct.
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 8 inches. How far did Chubby run? Give your answer in terms of pi. (prize is 99 points)
Answer:
6280
Step-by-step explanation:
It's 6280
-7y to the third (4y + y - 3)
What is the annual rate of productivity advance implied by moore's law? (assume linear growth from the base.) instructions: enter your response rounded to the nearest whole number. %?
simplify completely 3x^2+21x-54 over x^2+3x-54
Answer: 3(x-2) / x-6
Step-by-step explanation: find gcf..
HI :) I NEED HELP PLEASE BEFORE 12 AM
Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousandth.
Suppose f(x)=x^2-2. Find the graph of f(5x).
hey can you please help me posted picture of question
In a woodworking you are planing boards to make shelves. The planer is set to remove 1/16 inch from a board on each pass the board makes through the planer. If a board starts out at 3/4 inch thick, how many times will you need to send it through the planer to get it down to 5/8 inch?
The total cost of a prescription is $119.25. Mr. Jones's co-insurance plan requires him to contribute 15 percent of the cost. What's Mr. Jones's out-of-pocket cost for this prescription?
To find Mr. Jones's out-of-pocket cost for his prescription, calculate 15% of the total cost of $119.25, resulting in $17.89 after rounding.
Explanation:The question asks us to calculate Mr. Jones's out-of-pocket cost for his prescription if his co-insurance plan requires him to pay 15% of the total cost. The total cost of the prescription is $119.25.
To find out Mr. Jones's out-of-pocket expense, we calculate 15% of $119.25:
Out-of-pocket cost = 15% of total cost
= 0.15 × $119.25
= $17.8875
So, Mr. Jones's out-of-pocket cost will be $17.8875, which we can round to $17.89 for practical purposes.
What type of conic section is the following equation? 4x2 + y2 = 36
Answer:
Ellipse
Step-by-step explanation:
The signs of the terms are both positive, so it is either a circle or an ellipse.
The coefficients of the terms are different, so it can not be a circle.
Therefore it is an Ellipse.
Factor completely the following quadratic expression 16x^2-25y^2
Answer:
(4x+5y)(4x-5y)
Step-by-step explanation:
it is correct i got it right
Daisy is cooking pasta. The recipe says she needs 480 grams of pasta for 4 people. How many kilograms will she need for 14?
Answer:
1.68 kilo grams are required for 14 people.
Step-by-step explanation:
First of all the answer is required in kilo grams and the data given is in grams.
Lets convert the given value to kilo grams;
480 grams = 0.48 kilo grams
If 0.48 kilo grams are required to cater 4 people then how many kilo grams are required to cater 14 people?
⇒[tex]\frac{0.48}{4} *14[/tex] kilo grams
1.68 kilo grams.
which word best describe 8(2x+4)
If the train that Megan is riding covers 80 miles in 2 hours, how fast is the train traveling?
Final answer:
The average speed of the train Megan is traveling on is 40 miles per hour. It's obtained by dividing the total distance of 80 miles by the total time of 2 hours.
Explanation:
To find the average speed of the train that Megan is riding, which covers 80 miles in 2 hours, we will use the formula for average speed, which is total distance divided by total time. The train travels 40 miles one way and 40 miles back, totaling 80 miles.
Here is the step-by-step calculation:
Calculate the total distance the train travels: 40 miles one way + 40 miles back = 80 miles.
Calculate the total time of the journey: 2 hours.
Divide the total distance by the total time to find the average speed: 80 miles / 2 hours = 40 miles per hour.
This means the average speed of the train is 40 miles per hour.
A round table top has a diameter of 2.6 meters.What is its surface area
Caleb bought a car for $6,900. He agreed on a five-year loan at a 5.4% interest rate. Calculate what Caleb's monthly payments will be.
To calculate Caleb's monthly car payments, use the loan amortization formula that deals with compound interest, not simple interest. Input the loan amount of $6,900, the monthly interest rate (annual rate of 5.4% divided by 12), and the total number of payments (5 years times 12 payments per year) into the formula to find the monthly payment.
Explanation:Caleb's car loan scenario comes under financial mathematics, specifically, it deals with loan amortization using the concept of compound interest. Since the car loan spans multiple years, compound interest is the accurate model to use, not simple interest. As opposed to simple interest which only accrues on the original amount or principal, compound interest accrues on the principal and all interest previously added.
The formula to calculate the monthly payment, P, on a loan is given by, where PV represents t
[tex]P = [r*PV] / [1 - (1 + r)^-n][/tex]he present value or the amount of loan, which is $6,900 in this case; r is the monthly interest rate which can be calculated as annual interest rate divided by 12, translating to 0.054/12 in this case; and n is the total number of payments (i.e., 5 years of payments with 12 payments per year, hence, 5*12).
To calculate the monthly payment, plug these values into the formula which should give you the monthly payment amount that Caleb needs to pay for his car loan.
Learn more about Loan Amortization here:https://brainly.com/question/34535413
#SPJ12
What is one possible solution for the triangle below?
Answer:
The correct answer is C, i can promise you that
Step-by-step explanation:
the only one with Angle Z as 94.6 degrees.
One possible solution for the triangle below is:
Option D:
YZ = 95.4
∠X = 26.7°
∠Z = 85.3°
How use law of sines and cosines?If only one of these is missing, the law of cosines can be used.
3 sides and 1 angle. So if the known properties of a triangle are SSS (side-side-side) or SAS (side-angle-side), then this law applies.
If you want the ratio of the sine of an angle and its inverse to be equal, you can use the law of sine. This can be used if the triangle's known properties are ASA (angle-side-angle) or SAS.
Using Law of sine:
40/sin 68 = 43/sin Z
sin Z = (43/40) * sin 68
sin Z = 0.9967
Z = sin⁻¹0.9967
Z = 85.3°
The only option with the correct value of angle Z is Option D with:
YZ = 95.4
∠X = 26.7°
∠Z = 85.3°
Read more about law of sines and cosines at: https://brainly.com/question/4372174
#SPJ3
the width of a rectangular picture is 13 in less than the length the area of the picture is 30in 2 what is the length of the picture
3/a=9/b-10c solve for a.
One 16-ounce bottle of an energy drink has an average of 400 mg of caffeine with a standard deviation of 20 mg. What is the probability that the average caffeine in a sample of 25 bottles is no more than 395 milligrams?
a company observes the lifespan of 560 lightbulbs and finds that their data follows a normal distribution. what is the approximate number of light bulbs that fall within two standard deviations from the mean?
If P(A or B)equals=0.60.6, P(A)equals=0.40.4, and P(A and B)equals=0.350.35, find P(B).
Answer:
P(B) = 0.55 .
Step-by-step explanation:
We are given that P(A or B) = 0.6 , P(A) = 0.4 , and P(A and B) = 0.35 .
As we know that;
P(A or B) = P(A) + P(B) - P(A and B)
0.6 = 0.4 + P(B) - 0.35
P(B) = 0.35 + 0.6 - 0.4 = 0.55
Therefore, P(B) = 0.55 .
[tex] \sqrt[3]{ 3x + 1 - 4 = - 6} [/tex]