Answer:
√61
Step-by-step explanation:
using Pythagorean theorem,
h²+b²=hy²
h²+b²=hy²4²+2²=hy²
h²+b²=hy²4²+2²=hy²16+4=20
h²+b²=hy²4²+2²=hy²16+4=20hy²=20
therefore in radical form, Hy=√20
with the same theorem;
h²= hy²-b²
b² is initially given as (√20)²
hy² is given as 9²
h²=9²-(√20)²
h²=81-20
h²=61
h=√61
Help help help help help help please
Answer:
1. 21z² - 35nz + 56n²
2. 18y + 8
3. 12z³ - 24z² + 28z
4. 56c³ + 14c²g + 21cg²
5. 21p⁵ + 42p⁴- 63p³
6. 35g⁴ + 14g³ + 21g²
7. 54c² - 27cz
8. 24n² + 15n + 18
9. 40k⁴ + 16k³p + 24k²p²
10. 45z⁵ - 36z⁴h - 63z³h²
Plz mark brainliest :)
What percent of 72 is 9?
18%
114%
1212%
125%
Answer:
125%
Step-by-step explanation:
i have an answer of that
Write the converse of the following statement and determine its truth value.
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
Answer:
1) The convers of the conditional statement is;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) The convers of the conditional statement is true
Step-by-step explanation:
1) The given statement is presented as follows;
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
The hypothesis = A class has 3 left-handed people and 24 right-handed people = p
The conclusion = The ratio of lefties to righties is 1:8 = q
We have;
If p, then q which is p → q
The converse statement = If q, then p which is q → p
Then the converse of the conditional statement can be written as follows;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.
What is 1 1/5 as a decimal
Answer:
1.2
Step-by-step explanation:
1/5 = 0.20
1.2
Hope this helped!
Answer:
Step-by-step explanation:
2.2
1. 4x + 5
2.8x - 3
3. 1/2x - 4
4. 0.5x +3.5
4x + 5: m = 4
8x - 3: m = 8
1/2x - 4 = x/2 = -4
0.5x + 3.5: m = 0.5
Rational Expressions Multiplying I need to know how to do it
Answer:
(x -3)/4
Step-by-step explanation:
You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.
[tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]
We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.
PLZ HELP!!!
A bag has 10 marbles-3 red, t blue, and 2 violet. One marble is drawn and then replaced, and this action is repeated 10 times. The results are recorded in the table.
Which of the given statements is true?
A.) The experimental probability of drawing blue is 1/2
B.) The experimental probability of drawing red is 1
C.) The experimental probability of drawing red is 1/10
D.) The experimental probability of drawing violet is 0
The experimental probability of drawing blue is 1/2. Then, option A is correct.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.
The probability is calculated as:-
P = 5 / 10 = 1 / 2
To know more about probability follow
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A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank's business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker's earnings rounded to the nearest dollar?
Answer:
$15,1113Step-by-step explanation:
Given that the banker base annual salary $75,000
1. a 2.35% commission on $2.8 million is
=(2.35/100)*2,800,000
=0.0235*2,800,000
=$65800
2. a fee of $3.75 for each 2,750 applications processed
=3.75*2,750
=$10312.5
the banker's earning is $75,000+$65800+$10312.5
=$151112.5
to the nearest dollar
=$15,1113
4. The value of y is directly proportional to the value of x. If y = 45 when x = 180, what is the value of y when x = 80?
Given:
The value of y is directly proportional to the value of x.
y = 45 when x = 180.
To find:
The value of y when x = 80.
Solution:
Since the value of y is directly proportional to the value of x, therefore
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
where, k is constant of proportionality.
Putting y=45 and x=180, we get
[tex](45)=k(180)[/tex]
[tex]\dfrac{45}{180}=k[/tex]
[tex]k=\dfrac{1}{4}[/tex]
Substituting [tex]k=\dfrac{1}{4}[/tex] in (i), we get
[tex]y=\dfrac{1}{4}x[/tex]
Put x=80 in this equation.
[tex]y=\dfrac{1}{4}(80)[/tex]
[tex]y=20[/tex]
Therefore, the value of y is 20 when x=80.
solve pls brainliest
I believe the answer is 21/32
Find the area of the polygon
pls help
area: 36 units²
area of parallelogram = base * height[tex]\hookrightarrow \sf 9 \ * \ 4[/tex]
[tex]\hookrightarrow \sf 36 \ units^2[/tex]
Area:-
Base×Height9(4)36units^2For rhis problem you will have to simplify correctly .
Answer:
Step-by-step explanation:
Answer:
The mistake was -9, the answer is 1x -6
Step-by-step explanation:
3 (x - 6) + (4x + 12) - 6x =
3x - 18 + 4x + 12 - 6x = (use distributive property for this step)
3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)
1x - 6 (use addition and subtraction to get the final answer)
I hope this helps you :)
PLEASE ANSWER! WILL MARK BRAINLIEST!!
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
Answer:
|(x/4) - 10| or (x/4) - 10
hope this helps!!!
Answer:
Hope this help you!!
Have a good day
PLEASE PLEASE HELP
Given <triangle> ABC is congruent to <triangle> XYZ, and m< A is 50°, m<Z is 40°, what is the m<B
90°
80°
70°
60°
Answer:
A triangle measures 180° , so you do 50°+40° =90° then you do 180°- 90° = 90° , Therefore your answer is A. Hope this helps bye:)
Answer:
90
180-40-50=90
the triangle have 180 angle so 180 minus with 40 and 50 and you will get the m<B angle
coffe beans are packaged in 50 kg cartons with an allowable error of 0.7 percent what is the acceptable weight range for a carton of coffee beans?
Answer:
0.35
Step-by-step explanation:
you mutiply 50 times 0.7%
Answer:
It is 50.35 kg
Step-by-step explanation:
50 x 0.007 = 0.35 (I used 0.007 because you still have to move the decimal point two places even if it is already a decimal)
0.35 + 50 = 50.35 kg
I hope my answer helps :)
Saira is using the formula for the area of a circle to determine the value of LaTeX: \prod∏. She is using the expression LaTeX: Ar^2A r 2where A=50.265 and r=4. Use a calculator to evaluate Saira's expression to find her approximation of the value of LaTeX: \prod∏to the nearest thousandth.
Answer:
3.164
Step-by-step explanation:
Given the area if the circle used by Sarah expressed as
A = πr²
Given
A = 50.265
r = 4
To get π, we will substitute the given values into the formula as shown
50.625 = π{4)²
50.625 = 16π
π = 50.625/16
π = 3.164
Hence her approximate value to nearest thousandth is 3.164
help, please see picture, and explain: no decimals please,
[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]
[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]
[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]
What is the total price of a $5 book with a 10% sales tax?
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = mx + b is slope interform but you didn't supply a problem to put into it
A rectangular bathroom mirror is 2 feet tall and 10 feet wide. What is its perimeter?
The perimeter is the all the side's lengths added up together
-- so: Perimeter = 2 + 10 + 2 + 10 = 24 feet
Hope that heped!
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!
Answer:
d= approx 10.2956
Step-by-step explanation:
d=sqrt of (7+2)^2 + (8-3)^2
d=sqrt of [81+25]
d=sqrt of 106
d = approx. 10.2956
Which of the following numbers is between 0.62 and 1.05?
01.01
O 0.065
O 1.1
0.6
Answer:
a
Step-by-step explanation:
b is in the thousandths place, c is over 1.05, and d is no were near in between them
Answer:
1.01
Step-by-step explanation:
0.62 is equivalent to 62/100
0.6 is equal to 60/100, so 0.6 is not the answer.
0.065 is equal to 65/1000
0.6 is equal to 60/100, or 600/1000, so 0.065 is not the answer.
1.1 is equal to 1 and 10/100, while 1.05 is equal to 1 and 5/100, so 1.1 is not the answer.
Therefore, using the process of elimination, 1.01 is the answer.
name a pair of angles that are a linear pair.
Answer:
D: PUR and SUR
Step-by-step explanation:
A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.
The answer is D) <PUR and <SUR
A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles formed by two intersecting lines.
can someone pls solve 8 < 4r < 12
8 < 4r < 12
Solve for r by dividing all terms by 4:
2 < r < 3
In the function f(3) = 9 the input is
Answer:
Your answer is 3
Step-by-step explanation:
3 x 3 = 9
Answer:
The answer is 3 like so take 9÷3=3 or 3x3=9.
The area of the regular octagon is 10.15 cm2. a regular octagon has sides with lengths of 1.45 centimeters. what is the measure of the apothem, rounded to the nearest hundredth of a centimeter? 1.27 cm 1.75 cm 2.33 cm 2.54 cm
The length of the apothem of the regular octagon will be equal to 1.75 cm
What is a regular octagon?The regular octagon is the shape made up of the 8 sides or also the combination of the 8 isosceles triangles connected together side by side.
Here it is given:
Area of the Octagon = [tex]10.15\ cm^2[/tex]
The side of the octagon=1.45 cm
As we know that the octagon consists of the 8 isosceles triangles so the area of one triangle will be
[tex]= \dfrac{10.15}{8} =1.27\ cm^2[/tex]
Now the area of the isosceles triangle is given as:
[tex]A=\dfrac{1}{2} \times h\times b[/tex]
[tex]1.27=\dfrac{1}{2} \times h\times 1.45[/tex]
[tex]h=1.75\ cm[/tex]
Thus the length of the apothem of the regular octagon will be equal to 1.75 cm
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Answer:
the answer is b
Step-by-step explanation:
A scientist who studies sleep has developed a new technique to help people sleep each night. He
is conducting a study of 100 people and wants to determine if there is a significant difference in
people's amount of sleep before using the technique compared to after using the technique.
Which of the following describes the scientist's null and alternative hypotheses?
O null hypothesis: Hp = 0; alternative hypothesis: 4p=0
Onull hypothesis: 4y= 0; alternative hypothesis: 4p = 0
O null hypothesis: 44- = 0; alternative hypothesis: 4-430
O null hypothesis: 4-4370; alternative hypothesis: 4-12 = 0
Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis [tex]H_0: \mu = 0[/tex]; Alternative hypothesis [tex]H_1: \mu \neq 0[/tex].
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by [tex]\mu[/tex] is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, hence:
[tex]H_1: \mu \neq 0[/tex]
More can be learned about an hypothesis test at https://brainly.com/question/26454209
The sides of a river are parallel. Elizabeth is located at point E, and Jacoby is located at point J. They know that they are the same distance from the ends of the bridge B1B2. Kevin is located at point K. Which of the following can be used to prove that the two triangles are congruent and that Kevin is standing at the middle of the bridge? Select all that apply.
Answer: ASA, AAS
Step-by-step explanation:
sioban scores 4 out of 10 marks in a science test
what is her score as a percentage
Answer:
40%
Step-by-step explanation:
4/10 = 40/100 = 40%
If you need further explanation, let me know!
- profparis
Anyone know how to do this?
9514 1404 393
Answer:
∠2 = 45°
Step-by-step explanation:
Angles 1 and 2 are same-side interior angles where the transversal crosses parallel lines. That means they are supplementary angles.
∠1 +∠2 = 180° . . . . . supplementary angles total 180°
135° +∠2 = 180° . . . . substitute the given value
∠2 = 180° -135° . . . . subtract 135°
∠2 = 45°