Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3
Angle B = 90 in triangle ABC. BM is altitude to AC. AB = 10 and AM = 2.5. Find MC
Answer:
MC =37.5
Step-by-step explanation:
In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]
[tex] \therefore \angle AMB = 90\degree [/tex]
By Pythagoras Theorem:
[tex]AM^2 + BM^2 = AB^2 \\
BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]
please answer this question for geometry
Answer:
D is the correct answer in 95% sure :)
Could someone help me out, I’m not sure how to do these :,)
Answer:
1.) Reflection over y=1
2.) Translation rule: (x-5, y-3)
3.) Reflection over the y axis
4.)Translation rule: (x-4, y+1)
Step-by-step explanation:
I need help pls! :/ anyone know the answer to this?
Answer:
I think it is a
Step-by-step explanation:
If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab
Answer:
AB = 2Step-by-step explanation:
If B is the midpoint of AC then:
AB = BC
4x - 10 = x - 1
+10 +10
4x = x + 9
-x -x
3x = 9
÷3 ÷3
x = 3
AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2
can anyone help asap?
answer:
i think the answer is D it's been a really long time since i've done that
hope that helps!
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation
Answer:
He would use mean as a statistic to compare the spread of the two sets of data.
Step-by-step explanation:
What is mean?
Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values
What is statistic?
A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.
The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.
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Answer:
D. standard deviation
Step-by-step explanation:
100% on edge
Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.
Answer:
$61.99
Step-by-step explanation:
To find the total, we need to add.
Let's start with the ticket and the soda.
54+2=56
0.85+0.15=1
56+1=57
Next, add the price of the hot dog.
4.99 rounds to 5, so 57+5=62
62-0.01=61.99 (here we subtracted the one cent we originally rounded up)
$61.99
Hope this helps :-)
Answer:
61.99
Step-by-step explanation:
HELP ME PLEASE DUE IN 5 MIN
Answer:
Step-by-step explanation:
im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry
Maria is making a skirt with rows of ribbon around the bottom. Each row of ribbon is 1.75 yards long. How many rows will she have if she is cutting the pieces from 5.25 yards long?
Answer:
3 rows
Step-by-step explanation:
Answer:
3 rows
Step-by-step explanation:
you just divide
If BD=7x-10, BC=4x-29,and CD=5x-9 what is x ?
From the question, we know that the sum of BC and CD equals BD.
BD = BC + CD = 7x - 10
BC = 4x - 29
CD = 5x - 9
Let's set BC and CD equal to BD
4x - 29 + 5x - 9 = 7x - 10
Combine like terms on the left side.
9x - 38 = 7x - 10
Add 38 to both sides and subtract 7x from both sides.
2x = 28
Divide both sides by 2
x = 14
Answer:
Step-by-step explanation:
Hope this helps
A die is tossed. If the number rolled is greater than 2, what is the probability that the number rolled is 3?
Answer:
1/4
Step-by-step explanation:
The probability that the number rolled is 3 is, 1/4.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A die is tossed.
And, The number rolled is greater than 2.
Here, The number rolled is greater than 2.
Hence, Total outcomes are 3, 4, 5, 6
So, The probability that the number rolled is 3 is,
⇒ 1 / 4
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How do you find MAD
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set
Given the area of a rectangular pool is 6x^3+19x^2+2x-20 and the length of one side of the pool is 2x+5, find the measure of the missing side.
The missing side length is
Answer:
The missing side length is 3x^2 + 2x -4
Step-by-step explanation:
Here, we are interested in calculating the length of the missing side.
Mathematically, the area of a rectangle = L * B
So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;
Thus, the missing side length will be;
6x^3+19x^2+2x-20/2x+ 5
Please check attachment for the polynomial long division
The value of the other factor after the polynomial long division is 3x*2 + 2x -4
When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
His rate is based on time, for the first side of the equation.
His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.
Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy's collection? 38 50 95 130
Answer: She has 38 nickels
Step-by-step explanation:
Let's define:
N as the number of nickels, D as the number of dimes, and Q as the number of quarters.
She has 140 coins in total, so we can writen:
N + D + Q = 140.
And the total value is $19.00
Then we have:
N*0.05 + D*0.10 + Q*0.25 = 19
And "The difference in the number of dimes and the number of quarters is 10."
D - Q = 10.
So we have a system of 3 equations and 3 variables:
N + D + Q = 140.
N*0.05 + D*0.10 + Q*0.25 = 19
D - Q = 10.
First, let's isolate one of the variables in the third equation, i will isolate D.
D = 10 + Q.
Now we can replace this in the other two equations:
N + (10 + Q) + Q = 140
N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.
Now we can isolate Q in the first equation:
N + 10 + 2*Q = 140
2*Q = 140 - 10 - N
Q = 130/2 - N/2. = 65 - N/2
Now we can replace this in the other equation:
N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19
N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19
Now we can find the number of nickels.
N*0.05 + 1 + 22.75 - N*0.175 = 19
23.75 - N*(0.175 - 0.05) = 19
23.75 - 19 = N*0.125
4.75/0.125 = N
38 = N
She has 38 nickels
Answer:
A or 38 nickels
Step-by-step explanation:
the circumference of a circle is 264 cm find its area
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph of this system to identify all solutions of −x − 3 = x2 − 2x − 15. A. -7 B. -3 C. 0 D. 4
Answer:
I think option (D) 4 is correct
Answer:
Step-by-step explanation:
E D G E
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
how is scientific notation used in the real world
Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
Step-by-step explanation:
These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.
Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:
Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.
Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).
Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².
Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.
Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.
Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.
Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.
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At a grocery store, Rick bought 4 loaves of bread and 3 gallons of milk for $20. Danny bought 6 loaves of bread and 2 gallons of milk for $25. Identify the cost of a loaf of bread and a gallon of milk
Hey there! I'm happy to help!
Let's call the cost of a bread loaf b and the cost of a milk gallon m. Here is the info we have.
4b+3m=20
6b+2m=25
We solve one equation for b or m (we will solve the first one for b.
4b+3m=20
Subtract 3m from both sides.
4b=20-3m
We divide both sides by 4.
b=5-3/4m
We plug this value of b into the second equation to solve for m.
6(5-3/4m)+2m=25
We use distributive property to undo the parentheses.
30-4.5m+2m=25
We combine like terms.
30-2.5m=25
We subtract 30 from both sides.
-2.5m=-5
We divide both sides by -2.5
m=2
We plug this m into one of the original equations to find b.
4b+3(2)=20
4b+6=20
Subtract 6 from both sides.
4b=14
Divide both sides by 4.
b=3.5
So, a loaf of bread costs $3.50 and a gallon of milk costs $2.00.
Have a wonderful day!:D
Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.
Answer:
Step-by-step explanation: fg + Gh = fh
8x+1=9
8x=8
X=1
The numerical length of the line segment FG is 7 units.
Given that, FG=5x+2, GH= 3x-1, and FH= 9.
We need to find the numerical length of FG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Now, FH=FG+GH
⇒9=5x+2+3x-1
⇒8x+1=9
⇒8x=8
⇒x=1
So, FG=5x+2=7
Therefore, the numerical length of the line segment FG is 7 units.
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Anyone understand how to do this?
Step-by-step explanation:
[tex]\angle L\\
\angle GLJ\\
\angle JLG\\
\angle 2[/tex]
Answer:
<L
<GLJ
< JLG
<2
Step-by-step explanation:
There are 4 different ways to name this angle
By the vertex <L
With the sides and vertex ( vertex in the middle) <GLJ or < JLG
or by the number in the middle <2
Ten times the sum of half a number and 6 is 8
Answer:
I think it's 7
Step-by-step explanation:
I'm guessing I think
Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 because cm would cancel out C. 2.54cm/1 inch...because in would cancel out D. 1 inch/2.54 cm...because cm would cancel out
Answer:
The correct answer is 1 feet/2.54 cm because the cm would cancel out
Step-by-step explanation:
Here, we want the ratio that would allow us convert from 45 cm into feet.
The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.
It would be a case like;
1 feet/2.54 cm * 45 cm
So, we would have;
(45 cm * 1 feet)/2.54 cm
185=-5(10r+3) please help me with this question
Steps to solve:
185 = -5(10r + 3)
~Distribute right side
185 = -50r - 15
~Add 15 to both sides
200 = -50r
~Divide -50 to both sides
-4 = r
Best of Luck!
Answer:
r=-4
Step-by-step explanation:
185= - 5 10 r + 3
37= 10 r + 3
10r = - 3 - 37
10 r = - 40
Is 0.45 repeating an integer
Answer:
Yes
Step-by-step explanation:
Short cut: write down the recurring digitswrite a 9 for each recurring digit.
The wholesale price for a pillow is 7.50 . A certain department store marks up the wholesale price by 70% . Find the price of the pillow in the department store. Round your answer to the nearest cent, as necessary.
The price of the pillow in the department store is $12.75
The wholesale price of the pillow= 7.50
The store mark up price was increased by 70
The price can be calculated as follows
70/100 × 7.5
= 0.7 × 7.5
= 5.25
5.25 + 7.50
= 12.75
Hence the price of the pillow is $12.75
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Find the height of triangle whose are is 1500m2 and base 7.5 cm
Answer:
x = 400 m^2
Step-by-step explanation:
[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]