Step-by-step explanation:
the sum of all angles in a triangle is always 180°.
angle c = angle a + angle b + 40
angle a = angle b - 20
angle a + angle b + angle c = 180
using the second equation in the first :
angle c = (angle b - 20) + angle b + 40 = 2×angle b + 20
using this and the second equation in the third equation :
(angle b - 20) + angle b + (2×angle b + 20) = 180
4×angle b = 180
angle b = 45°
angle a = angle b - 20 = 45 - 20 = 25°
angle c = angle a + angle b + 40 = 25 + 45 + 40 = 110°
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Your last doctor's visit cost $105. Health insurance through your employer paid $84, and
you paid the remaining $21. What percentage of the cost did you pay?
7
A. 20%
B. 21%
C. 25%
D. 80%
E. 84%
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Hayden said the expression 3(2x+1) will always be greater than 3 because when I distribute the 3 to the numbers inside the parentheses, I will multiply 3 and 1 which is 3 since I will always be adding to the first part of the expression the final answer must be greater than 3
Answer:
9x.Step-by-step explanation:
Hayden is correct. 3(2x + 1) = 9x.
Here is explanation:
If you didn't know, 2x + 1 would simply be 3x.
So then, 3 * 3x would then be 9x.
Here is math explanation:
3(2x + 1)= 3(3x)= 3 * 3x= 9x.You now have your answer!
9x is your answer.In the whole number 70,819 the place value of the digit 1 is
Step-by-step explanation:
a number is a sequence of digits with every position being multiplied by increasing powers of 10.
and the whole number is then the sum of of these little multiplications.
the first position left of the decimal point is for 10⁰ (1). the second position is 10¹ (10). the third position for 10² (100). and so on.
the given number is therefore just the short version of
7×10⁴ + 0×10³ + 8×10² + 1×10¹ + 9×10⁰
and therefore, the digit 1 in this number has the value 1×10¹ = 10, which is also the place value, 10¹ = 10.
Find the equation of the line of the given properties: Slope = 0 and passes through (-4,5).
Pls help me
Answer:
y = 5
Step-by-step explanation:
An equation can be written in two forms: point-slope form or slope-intercept form.
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-4, 5)slope (m): 0The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (5) = 0(x - (-4))
Simplify.
y - 5 = 0(x + 4)
y - 5 = 0
y = 5
This is your equation.
Let's now represent this in slope-intercept form.
The standard equation is
y = mx + b
Plug in what you know.
5 = 0(-4) + b
Simplify.
5 = 0 + b
5 = b
Therefore,
y = 0x + 5 or y = 5
Hope this helps!
Learn with another example:
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Need help! Need Urgent
The amount of paper that Lemon needs for the actual poster will be 8 square feet.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The dimension of the poster is 10 cm by 20 cm.
And the scale factor will be 5 cm is equal to 1 ft.
Then the dimension of the poster will be 2 ft by 4 ft.
Then the amount of the paper that Lemon needs for the actual poster will be
Area = 2 × 4
Area = 8 ft²
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Help me please I need it right now like now now
Answer:
$0.84
Step-by-step explanation:
use a formula to find the surface area of the cylinder use 3.14 for pi
Answer:
376.8 cm²
Step-by-step explanation:
Given:
Radius of circular base: 4 cmHeight of cylinder: 11 cmSurface area = 2πrh + 2πr²
[Where "r" and "h" represents the radius and the height respectively]
Let's substitute the height and the radius in the formula and simplify it.
[tex]\implies 2\pi rh + 2\pi ^{2}[/tex]
[tex]\implies 2\pi (4)(11) + 2\pi (4)^{2}[/tex]
[tex]\implies 2\pi (44) + 2\pi (16)[/tex]
[tex]\implies 88\pi + 32\pi[/tex]
We can factor π out of the expression. Therefore, we get:
[tex]\implies 88\pi + 32\pi[/tex]
[tex]\implies \pi (88 + 32)[/tex]
Now, simplify the expression inside the parentheses.
[tex]\implies \pi (88 + 32)[/tex]
[tex]\implies \pi (120)[/tex]
The value of π, we are given, is 3.14. When substituted, we get:
[tex]\implies \pi (120)[/tex]
[tex]\implies 3.14(120) = 31.4(12) = \boxed{376.8 \ \text{cm}^{2} }[/tex]
Therefore, the surface area of the cylinder is 376.8 cm².
Learn more about surface area of cylinder: https://brainly.com/question/16827100
for a Saturday matinee, adult tickets cost $5.50 and kids under 12 pay only $4.00. If 70 tickets are sold for a total of $355, how many of the tickets were adult tickets and how many were sold to kids under 12?
Maths question:
5% of 40
20% of 25
Answer:
1. 2
2. 5
Step-by-step explanation:
1. write 5% as
[tex] \frac{5}{100} [/tex]
Then,
[tex] \frac{5}{100} \: of \: \: 40 = \frac{5}{100} \times 40[/tex]
Therefore, the answer is 2
If you are using a calculator, simply enter 5 divided by 100 times 40 which will give you 2 as the answer.
2. Write 20% as 20/100
[tex] \frac{20}{100} \: of \: 25 = \frac{20}{100} \times 25[/tex]
Therefore, the answer is 5
If you are using a calculator, simply enter 20 divided by 100 times 25 which will give you 5 as the answer.
What is the median of the following set of numbers?
Answer: order the data from least to greatest then cross out from left to right to get to the middle and you have your number
Step-by-step explanation:
William William mowed 75% of the lawn in 33 minutes. Part A Which equation can be used to find how many minutes it will take for William to mow the whole lawn if he continues at the same rate? 75n=33 33n=75 0.33n=75 75n100=33 Part B How many minutes will it take for William to mow the whole lawn?
The equation that can be used to find out the total time it will take to William to mow the lawn is (75n) / 100=33.
What is an equation?This is a mathematical expression that represents a situation including a value that is not known.
In this case the best equation would be 75n / 100=33 as this is the only one that includes all the factors:
75% out of a 100% that is unknown (n)100 (represents the percentage)33 (total of minutes completing 75%)What is the result of this equation?75n / 100=33n/ 100 = 33/75n/100 =0.44n= 0.44 x 100n = 44 minutesLearn more about equations in: https://brainly.com/question/10413253
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prove fermat's last theorem:no three positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2
The proofing of Fermat's last theorem shows that y = a² - b², z = a² + b² and x = 2ab.
How to prove fermat's last theorem?The equation x² + y² = z². We can assume that x, y, and z are positive and relatively prime. Suppose that x is even. Then:
(z - y/2)(z + y/2) = (x/2)²
Hence,
(z - y)/2 = b²
(z + y)/2 = a²
Then, y = a² - b², z = a² + b² and x = 2ab.
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Order the following from least to greatest.
0.98, 3/5, 4, 1/2, 0.4
Answer:
.4, 1/2, 3/5, .98, 4
Step-by-step explanation:
give me brainliest please
A wooden block is in the shape of a regular hexagonal pyramid. The lateral surface area of the pyramid is 450 square centimeters, and the pyramid has a slant height of 15 centimeters. What is the side length of the base?
Answer:
10 cm
Step-by-step explanation:
PLEASE HELP ME I NEED HELP
Answer:
5x + 7y = 37
Step-by-step explanation:
I hope it is the answer
Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation
Answer:
the answer is C mean absolute deviation
House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3
The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.
What is probability?It 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.
Total number of outcomes = 9×8 = 72
(because the total number of digits excluding 0)
Event A: choosing 8 as the first digit
Event B: choosing a number less than 6 as the second digit
Total favourable outcomes = 1×5 = 5
Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}
Probability = 5/72
Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.
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Answer:
The answer is B I'm pretty sure.
Step-by-step explanation:
Time4Learning 2022 quiz
help will mark Brainliest
Answer:
A.
Step-by-step explanation:
16 multiplied by 2 is not 30
Hope this helps! ;-)
Answer:
a/top left
Step-by-step explanation:
16 x 2 is 32 not 30
Find the square root of 169
Answer:
13
Step-by-step explanation:
suppose y = sin x
what y-value corresponds to an x-value of 3pi/2
Answer: THE ANSWER ON ACELLUS IS -1
Step-by-step explanation:
I found this answer on a site used to do sin cos and tangent
The y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]
To find the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \),[/tex] simply substitute [tex]\( x = \frac{3\pi}{2} \)[/tex] into the function:
[tex]\( y = \sin\left(\frac{3\pi}{2}\right) \)[/tex]
Now, let's evaluate the sine function at [tex]\( \frac{3\pi}{2} \):[/tex]
[tex]\( y = \sin\left(\frac{3\pi}{2}\right) = -1 \)[/tex]
So, the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]
To know more about x-value:
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How to simplify question below ?
Answer:
[tex]3x^2y[/tex]
Step-by-step explanation:
The cube root of 27 is 3.
With indices, cube rooting them is the equivalent of multiplying by 1/3 so:
[tex]x^2y[/tex].
Put these 2 things together and you get:
[tex]3x^2y[/tex]
5b8c3
The degree of the monomial is?
Answer:
8
Step-by-step explanation:
The given monomial is :
5b⁸c³The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.
Hence, the degree of the monomial is 8
A student tosses a coin and then draws a card from a stack of 4 cards labeled 1 through 4
What is the sample space for this compound event?
{H, T, 1, 2, 3, 4}
{H1, T1, H4, T4}
{HT1, HT2, HT3, HT4}
{H1, T1, H2, T2, H3, T3, H4, T4}
Answer:
The answer is the longest one <3
Step-by-step explanation:
I took the test:
If the coin is tossed and a card is chosen from 1 to 4, then the total sample will be 8. Then the correct option is D.
What is a sample?A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.
A student tosses a coin and then draws a card from a stack of 4 cards labeled 1 through 4.
Then the total number of the sample will be
Total sample = 2 × 4
Total sample = 8
Then the sample is given below.
[tex]\rm Sample = \begin{Bmatrix}(H,1) & (H,2) & (H,3) & (H,4) \\\\(T,1) & (T,2) & (T,3) & (T,4) \\\end{Bmatrix}[/tex]
More about the sample link is given below.
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Please help me out with this question
Answer:
A6n+4
Step-by-step explanation:
A toy factory manufactures d dolls every hour.Each dolls costs e cents.How much money will the factory spend in costs for manufacturing dolls in 7 hours and 30 minutes?
Answer:
in 7hours and 30 mn the cost will be (7.5×d×e) cents
Step-by-step explanation:
[tex]\begin{matrix}\text{Time} &1h&7.5h\\ \text{number of dolls} &d&7.5\\ \text{Cost} &d\times e&7.5\times d\times e\end{matrix}[/tex]
Help with functions!! Thank you!!
Answer:
(s - t)(x) = 4x^2 - x - 5
(s + t)(x) = 4x^2 + x + 5
(s * t)(-1) = 16
Step-by-step explanation:
(s - t)(x) is simply the same as s(x) - t(x)
(s + t)(x) is simply the same as s(x) + t(x)
(s * t)(x) is simply the same as s(x) * t(x)
(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5
(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5
(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16
HELPPPPPPPPP!!!!!!!!!!!!!!!!
how do I simplify the following to "a+bi" form: (1+2i)^3
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply every term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
Which statement about the line represented by the equation y+2=(x-5) is true
A. The slope is 3 and (-2,5) is on the line
B. The slope is 2 and (3,-5) is on the line
C. The slope is 3 and (5,-2) is on the line
D. The slope is 2 and (-3,5) is on the line
Answer:
A
Step-by-step explanation:
-2+2=5-5
0=0
the correct answer is A
pls help, urgently!!!
Answer:
Yes, no is correct
Step-by-step explanation:
This is because you only add up the outside sides of the polygon to find the perimeter. None of the inside sides. Hope this makes sense and hope it helps.
Answer:
No, because the friend counted a length that is inside of the polygon, which you don't need for finding the perimeter, since the perimeter is the sum of the outside lengths of the polygon.
