Answer:
.
Step-by-step explanation:
An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability both green
A triangle has side lengths of (9d+ 4) centimeters, (9d + 2) centimeters, and (3f - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Perimeter is the sum of the 3 sides.
Add the 3 sides together by combining like terms.
9d +4 + 9d+2 + 3f -2
9d+9d = 18d
4 + 2-2 = 4
Combining like terms you get:
18d +3f +4
NO LINKS!!!
What are the differences between arithmetic and geometric sequences?
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
The low temperatures in December at each of three locations are shown.
Location 1: 18°F
Location 2: –5°F
Location 3: –22°F
Choose each statement that is both true and correctly justified based on this information.
(A) Because 18 < –22, it was colder, on average, at Location 3 than at Location 1.
(B) Because 18 < –22, it was warmer, on average, at Location 3 than at Location 1.
(C) Because –22 < 18, it was colder, on average, at Location 3 than at Location 1.
(D) Because –22 < 18, it was warmer, on average, at Location 3 than at Location 1.
(E) Because –22 < –5, it was warmer, on average, at Location 2 than at Location 3.
Answer:
According to me answer is option C and E
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
In the picture. Answer by 11:00.
Answer:
Pink and Green are proportional
Step-by-step explanation:
A proportional graph is a straight line that always goes through the origin
if tan2
x = 3 then value of
x is
Answer:
If tan2 x = 3 then the value of x is 3. So three is your answer!
Step-by-step explanation:
Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form
y=2/3x -3
the picture is the explanation
Can you help me!
Determine the solution to the following one-variable linear equation:
a. 4a - 11 = 2a + 3
b. 3z + 12 = 15
c. 2 - 6b = 20
d. 3y - 5 = 27 - y
Hi,
4a - 11 = 2a + 3
4a - 11 + 11 = 2a + 3 + 11
4a = 2a +14
4a - 2a = 2a - 2a + 14
2a = 14
2a / 2 = 14 / 2
a = 7
3z + 12 = 15
3z + 12 - 12 = 15 - 12
3z = 3
3z / 3 = 3 / 3
z = 1
2 - 6b = 20
2 - 2 - 6b = 20 - 2
- 6b = 18
6b = - 18
6b / 6 = -18 / 6
b = -3
3y - 5 = 27 - y
3y - 5 + 5 = 27 - y + 5
3y = - y +32
3y + y = - y + y +32
4y = 32
4y / 4 = 32 / 4
y = 8
✅(◠‿◕)
#A
4a - 11 = 2a + 3 4a - 2a = 3 + 112a = 14 a = 14/2 a = 7✅#B
3z + 12 = 15 3z = 15 - 12 3z = 3 z = 3/3 z = 1✅#C
2 - 6b = 20 -6b = 20 - 2 -6b = 18 b = 18/(-6)b = -3✅#D
3y - 5 = 27 - y 3y + y = 27 + 5 4y = 32 y = 32/4 y = 8✅Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..
A. yes: 3
B. yes: 4
C. yes: 3
D. no
Answer:
I think the answer is c
Guys what's 1 9/15+ 1 5/15
Answer:
2 14/15. answer need to be 20
A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month all of their patients lost at8lb least . Last month more than half of their patients lost at least 8lb. Last month some of their patients lost more than4lb . Last month at least one of their patients lost exactly 8lb. Two months ago some of their patients lost at least 8bl. None of the above statements are true.
Answer:
Given:
A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs
Average refers to mean
a. Last month all of their patients lost at least 8 lbs.
Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False
b. Last month at least one of their patients lost exactly 8 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.
c. Two months ago some of their patients lost at least 8 lbs.
Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.
d. Last month at least one of their patients lost less than 3 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.
e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.
Answer: Mean is a measure of central tendency which is computed by the diving sum of all observations with the number of all observations (the sum of observations lesser than the mean is compensated by the sum of observations greater than the mean) and for the mean equal to 8lbs, there should be an equal number of people who lost less than 8 lbs and the number of people who lost more than 8 lbs. Hence, this statement is True.
Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True
the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
Based on the information provided, we can make the following conclusions:
1. Last month, all of their patients lost at least 8 lb. (This statement is true since the average refers to the mean, and the average weight loss was 8 lb. Therefore, all patients must have lost at least 8 lb.)
2. Last month, more than half of their patients lost at least 8 lb. (This statement is true since the average weight loss was 8 lb, which means that at least half of the patients must have lost 8 lb or more. As the average is pulled up by higher values, more than half should have achieved at least 8 lb weight loss.)
3. Last month, some of their patients lost more than 4 lb. (This statement is true since the average weight loss was 8 lb. If the average is 8 lb, then there must be patients who lost more than that, and losing more than 4 lb is definitely possible.)
4. Last month, at least one of their patients lost exactly 8 lb. (This statement is true since the average weight loss was 8 lb. For the average to be exactly 8 lb, at least one patient must have lost exactly 8 lb.)
5. Two months ago, some of their patients lost at least 8 lb. (There is no information provided in the given data to make any claims about weight loss two months ago, so we cannot conclude this statement based on the information given.)
So, the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
The statement "Two months ago some of their patients lost at least 8 lb" cannot be determined from the given information, so it is not necessarily true or false based on the data provided.
Learn more about weight loss here
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A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
George wants to write the number “fifteen thousandths” in standard form. Explain to him how he would do this. Be sure to name the places his digits will go in. What is “fifteen thousandths” in standard form?
Answer:
0.015
Step-by-step explanation:
He would have to take 15 and put the decimal point 4 places to the left of the number.
If a value has thousandths, it goes 4 places to the left, hundredths goes 3 places to the left, tenths goes 2 places to the left and ones goes 1 place to the left.
The standard form is 10,000 + 5000.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Fifteen thousandths
This can be written as,
= 15,000
It can be expanded as,
= 10,000 + 5,000
= 1 ten thousands + 5 thousands
Thus,
The standard form is 10,000 + 5000.
Learn more about expressions here:
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Mrs. sanders is bringing colored marshmallows to school so her students can do a graphing experiment. she has 25 students. if she gives each student 1/2 cup of marshmallows , how many cups of marshmallows will she need to bring to class?
Answer:
25 x 1/2 = 12.5
12 1/2 cups
Please take a look at the picture
if u help me ill give u brainliest
Answer:
150000000
Step-by-step explanation:
30x5000000=150000000
n-(m+n): use m= 2,and n=-3
Answer:
the answer is in the photo below
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
solve pls brainliest
We have: 103/20= 5,15 ; 5 2/9= 5,(2)
So the answer is:
103/20 < 5.169 < 5.19 < 5 1/2
ok done. Thank to me :>
Helen counted six dollars and four cents in her purse. She recorded this amount in decimal form as $6.40. Did she record it correctly? If she made a mistake, what is the correct way
to record this amount of money as a decimal?
Pls answer will give brainiest
Answer:
6 dollars and 4 cents
Step-by-step explanation:
Pleas someone help me with this it's my last question
Answer:
we need to find out if the following get x = 2 as a final product
-2(x-4) = 4
-2x + 8 = 4
-2x = -4
x = 2
so it is a solution
26/x = 13
26 = 13x
x = 26/13
x = 2
so it’s a solution
-3.8x = -7.4
x = 7.4/3.8 ≠ 2
you get ≈ 1.95
so it’s not a solution
4(x-1) - 3(x-2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -10
so it’s not a solution
Answer:
x= 2 is the solution of first two equations.
Step-by-step explanation:
A certain length measurement is performed 500 times. The mean value is 5.0m, and the standard deviation is 2cms. Assuming a normal distribution for the error in the measurement, how many readings fall within 5.15cm of the mean value
Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 5m, hence [tex]\mu = 5[/tex].Standard deviation of 2 cm, hence [tex]\sigma = 0.02[/tex]To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:
[tex]z = \frac{0.0515}{0.02}[/tex]
[tex]z = 2.575[/tex]
The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.
Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.
0.995 - 0.05 = 0.99
Out of 500 measurements:
(0.99)500 = 495
495 readings fall within 5.15cm of the mean value.
A similar problem is given at https://brainly.com/question/24663213
What is a quartic function with only two real zeros atx x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Answer:
b
Step-by-step explanation:
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
Simplify the expression.
14.5 – 3(-7.9+ 4.4 - 2.9) = 14.5 – 3
sus susussusususususususus
9.4 x 8.2 using regrouping
Answer:
77.08
Step-by-step explanation: basic math
Answer:
77.08
Step-by-step explanation:
hope it helps
ends of diameter: (9, 15) and (15, 7)
(
x
−
12
)
2
+
(
y
−
11
)
2
=
25
what is the value of the digit 4 in 0.342
Answer:
0.04 = four hundredths
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of the 4 is ...
0.040
The 4 is in the hundredths place, so its value is four hundredths.
Mind helping me with this?