Step-by-step explanation:
a°+10°+a°+20°=180
becasue sum of angle of suplimentary angles is 180.
2a+30=180
2a=180-30
2a=150
a=75
Can someone please help me?
a) Since division by zero is undefined, we have that
[tex]13-x\neq0\Leftrightarrow x\neq13[/tex]
In interval notation
[tex]D=( -\infty ,13) \cup ( 13,\infty )[/tex]
b) Since a square root of a negative number is undefined over the Reals, we have that
[tex]9+x\geqslant 0\Leftrightarrow x\geqslant -9[/tex]
In interval notation
[tex]D=[-9,\infty )[/tex]
c)Since division by zero is undefined, we have that
[tex]2x+1\neq 0\Leftrightarrow 2x\neq -1\Leftrightarrow x\neq -\frac{1}{2}[/tex]
In interval notation
[tex]D=\left( -\infty ,-\frac{1}{2}\right) \cup \left( -\frac{1}{2} ,\infty \right)[/tex]
d) Since a square root of a negative number is undefined over the Reals, we have that
[tex]4x-3\geqslant 0\Leftrightarrow 4x\geqslant 3\Leftrightarrow x\geqslant \frac{3}{4}[/tex]
In interval notation
[tex]D=\left[\frac{3}{4} ,\infty \right)[/tex]
Find the measure on z.
Answer:
z° = 135°
Step-by-step explanation:
The measure of the interior angle is 135°. The sum of the measures of its interior angles is 1080°.
I hope I helped you^_^
At the beginning of the day, a water tank contained 526.8 gallons of water. During the day, some of the water was used to water a garden. At the end of the day, the water tank contained 318.05 gallons of water.
What was the total amount of water used that day?
a. 202.75 gallons
b. 208.75 gallons
c. 208.85 gallons
d. 210.80 gallons
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Answer:
B. 208.75 gallonsStep-by-step explanation:
Let the volume of used water is x.
We have:
526.8 - x = 318.05x = 526.8 - 318.05x = 208.75Correct choice is B
pls help with this problem
====================================================
Explanation:
Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.
We then use the pythagorean theorem to find the length of the hypotenuse MT.
a^2 + b^2 = c^2
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
c^2 = 676
c = sqrt(676)
c = 26
Segment MT is 26 cm long.
This applies to the other diagonal AH as well.
Find two given numbers in a given ratio such that the sum of their squares is to their difference in a given ratio. Ratios being 3 : 1 and 10 : 1.
Answer: a=6 and b=2
Step-by-step explanation:
Let say A and b the 2 numbers.
[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]
6. Sam is buying tickets to a movie
online. The price of one ticket is $8.50.
An equation showing the total cost is
C = 8.50t +3.50 where t is the
number of tickets and $3.50 is a
convenience fee. What is the total cost
if he buys 4 tickets?
What’s the answer to this problem?
Answer: C = $37.5
Step-by-step explanation:
Given information
Price of one ticket = $8.50
Convenience fee = $3.50
Number of tickets = 4
Given expression
C = 8.50t + 3.50
Substitute the value of the ticket into the expression
C = 8.50 (4) + 3.50
Simplify by multiplication
C = 34 + 3.5
Simplify by addition
C = $37.5
Hope this helps!! :)
Please let me know if you have any questions
HELP!
10. Bill and Kate dined at a restaurant, and their bill was $49.98. They would like to leave a tip of
approximately 15% of their bill. Which of the following is the closest to this amount?
D. $12.50
E. $15.00
C. $10.00
A. $5.00
B. $7.50
Answer:
7.50$
Step-by-step explanation:
49.98÷100=0.4998=1%
0.4998×15= 7.497 which is 15%of their bill
Peter pay $79.80 for returning a bicycle for 6 hours, what was the rate per hour
Answer:
$13.3 per hour
Step-by-step explanation:
for 6 hour the cost is $79.80
for 1 hour the cost is $79.80/6
$13.3 per hour
Please help! I'm stuck on this big ideas math problem and I can't figure it out. Need to learn this and solve ASAP! :)
Answer:
a) greater than 20
b) 20 is the estimate (round all the three other numbers and add, then subtract from 80 because 20, the average, times the four meetings is 80)
c) You can check your estimate by adding all of the numbers and subtracting the answer by 80. 18 + 17 + 21 = 56. 80 - 56 = 24
24 is closer to 20 than 30, so our estimate is correct.
Step-by-step explanation:
PLS HELPPPPPPPPPppppppp
Let me know the answer fast
Step-by-step explanation:
[tex]a) \\ thank \: you[/tex]
Solve
E(-6, 5), F(3, -3)
y=4th qrd -6 ¡5 f= 3rd qrd 3 and ¡3
State the domain and range of the following function.
{(1, 3), (2,7), (- 3,4), (- 2, 3), (5,4)}
Answer:
okay
Step-by-step explanation:
Drag each tile to the correct box.
Using the order of operations, what are the steps for solving this expression?
40=8+32 +(15–7)x2
Arrange the steps in the order in which they are performed.
3 “squared”
15-7
14 +16
40:8
8x2
5+9
Answer:
15 - 7 (Parentheses)3² (Exponents)8 × 2 (Multiplication)40 ÷ 8 (Division)5 + 9 (Addition starting from the leftmost)14 + 16 (Addition after the first addition operation)Concept:
When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionTherefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.
Hope this helps!! :)
Please let me know if you have any questions or need further explanation
what are the solution set of Z^2 +(2i-3)Z+5i=0
Answer:
z= 2 - 3i
1 + i
Step-by-step explanation:
I'm not sure but hope it helps.
The Sunshine Cleaning service can vacuum 8 square yards of flooring every 4 minutes. Which graph includes ordered pairs that represent this relationship?
Answer:
It's the second graph, I circled it in blue
Which of the following would be the slope of the line parallel to the following:
3x+4y=8
a. 4/3
b. 3/4
c. -4/3
d. -3/4
Answer:
-3/4
Step-by-step explanation:
slope of given line:
4y=-3x+8
y=-3/4 *x+8
m=-3/4
parallel lines have equal slopes so required slope is -3/4
Write 0.2 repeating as a fraction in simplest form.
0.2 Repeating Decimal is 2/9 as a Fraction
Answer:
2.9
Step-by-step explanation:
We let 0.2 be x.
Since x is recurring in 1 decimal places, we multiply it by 10.
10x = 2.2
Next, we subtract them.
10x - x = 2.2 - 0.2
9x = 2
Lastly, we divide both sides by 9 to get x as a fraction.
Answer: x = 2.9 or 2/9.
Thr area of a square is 36 centimeters what is the length of each square
Answer:
6 cm
Step-by-step explanation:
The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.
a farmer enough to last his 40 cattle for 35 days'if he bays more cattle how long can the same food last?consider the cattle finish the feed at the same rate
Answer:
this is unclear
Step-by-step explanation:
yoy miss typed
When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of ______ employees
Answer: 675
Step-by-step explanation:
Since the starting amount of employees is 500 we can say that 100%=500.
Adding 35% more employees means that we're adding 35% to the existing 100%, which means we need to find 135% of 500.
To solve we must multiply 135% by 500. 135% as a decimal is 1.35, so we multiply 1.35(500)=675.
Therefore, they now have a total of 675 employees.
Add or Subtract: show all written work 30 POINTS!!
Answer:
I hope it helped U
stay safe stay happy
The trolley rolled at a rate of 10 feet per second how far does it go in a minute
9514 1404 393
Answer:
600 feet
Step-by-step explanation:
There are 60 seconds in a minute, so the trolley travels 60 times as far as it does in one second.
(60 seconds/minute) × (10 feet/second) = 600 feet/minute
The trolley goes 600 feet in a minute.
Do the following graphs represent a mathematical function? If not, explain why.
Answer:
1 = YES
2 = NO
-4x + 3x = 2
What is x
Which equation should be used to answer “24 is 40% of what number?”
Answer:
24=40/100×x
Step-by-step explanation:
i think the equation is
24=40/100×x
24 is equal to 40 percent of a number which I have represented by x
I hope this helps
I need help ASAP whit this question
Answer:
B. 7
Step-by-step explanation:
The original box must be 1 by 1 by 1.
So then the new box would be 2 by 2 by 2.
2×2×2=8
8-1=7
I hope this helps!
pls ❤ and mark brainliest pls!
What is the product?
Answer:
product is the result of multiplication or an expression that identifies factors to be multiplied..
The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,
[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]
The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.
The given expression is,
(7x²)(2x³ + 5)(x² - 4x - 9)
Multiplying the first two expressions,
[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]
Now again multiplying these two expressions
[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]
Simplifying this we get,
[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]
Hence,
The product of the given expression is,
[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ4
Round 23,839 to the nearest thousand
Answer:
24, 000[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Answer:
24000
Step-by-step explanation:
instead of 20000 you've got to round the no before it then you'll know your answer as 24000
Anyone help me to solve this probability question in details. I have problems with probabilities. I will be giving the brainliest
Answer:
Step-by-step explanation:
The probability of breakdown
Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.
1. All machines breakdown.
1/4 +1/6 + 1/8 = 13/24
2. 2 machines break down
CM and D 1/4 + 1/6 = 5/12
CM and H 3/8
D and H 7/24