Answer:
(C) The sum of the measures of ∠P, ∠Q, and ∠R is 180°
Step-by-step explanation:
All triangles, when their three angles are added up, gets us 180°.
This goes without saying, even with scalene triangles.
Additionally, the angles in squares add up to 360°, the angles in a pentagon add up to 540°.
Hope this helped!
a right triangle has side lengths 8 15 and 17 as shown below use these lengths to find tan B sin B and cosine B
Answer:
sin(B) = [tex]\frac{15}{17}[/tex]
cos(B) = [tex]\frac{8}{17}[/tex]
tan(B) = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
I always find it easiest to model out the triangle: Angle B will be at the converging point of a and c.
Using SOH CAH TOA, we know that the Sin of an angle will be its opposite over hypotenuse. The opposite is 15, and the hypotenuse is 17.
So [tex]\frac{15}{17}[/tex] is the sin of B.
We also know that the cosine of B will be it's adjacent over hypotenuse. The adjacent is 8 and the hypotenuse is 17, so
[tex]\frac{8}{17}[/tex]
Lastly, we know the tangent of B will be it's opposite over adjacent. The opposite of B is 15, and it's adjacent is 8, so
[tex]\frac{15}{8}[/tex] is the tangent of B.
Hope this helped!
Evaluate
l5 - 15l
Is this right?
Answer:
10
Step-by-step explanation:
The absolute value always returns a positive value, thus
| a | = | - a | = a
Given
| 5 - 15 | = | - 10 | = 10
find the area of the figure
Answer:
31 mm
Step-by-step explanation:
5mm + 2mm + 8mm + 16mm
The picza has an area of 785 in. What is the minimum with of a placemat that can be placed underneath it so that the pizza does not touch the table Use 3.14 forpi
10 inches
Sinches
25 inches
D.3.14 inches
Urarred 25
Type here to search
Answer:
C is the answer!!
Step-by-step explanation:
Tammy drove 715 miles in 11 hours. at the same rate, how long would it take her to drive 845 miles?
Answer:
Step-by-step explanation:
So we have direct proportions here.
So
715=11
845=x
845*11/715
x=13
To check our work.
715/11=65
65*13=845.
Basically, in this formula, you use cross multiplication. So A*B=B*A. B and B go together and A and A go together/
So we can use the formula x = b*b/a. Since A is one of the A's and the other value of A is missing, we can use this formula to find it.
Hope this helped, ask me if you have any questions.
Can someone help me with number 7. Please.
Answer:
exponent: 3; base: 4
Step-by-step explanation:
An exponent is used to signify repeated multiplication. In a typeset expression is has a superscript format. The base is the value being repeatedly multiplied.
[tex]4^3=4\cdot4\cdot4[/tex]
The exponent is 3.
The base is 4.
_____
In plain text, an exponent is preceded by a caret (^). If the exponent consists of more than a single constant or variable, it must be enclosed in parentheses. The above expression would be written as 4^3.
Please answer fast
Silakan
Answer:
[tex]8\frac{37}{56}[/tex]
Step-by-step explanation:
[tex]12\frac{2}{7} + 3\frac{5}{8} = \frac{86}{7} + \frac{29}{8} = \frac{688 - 203}{56} = \frac{485}{56} = 8\frac{37}{56}[/tex]
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 70 feet. His back yard has a length of 10 feet and a width of 40 feet. How many square feet of sod does Jayden need to purchase? A. 3,900 square feet B. 3,600 square feet C. 3,700 square feet D. 2,150 square feet
Answer:
C. 3,700 square feet
Step-by-step explanation:
add the area of both the front and half of the back yard.
divide the sum of 13 / 5 and -12 / 7 by the product of - 31 / 7 and 1 /-2
Answer:
13/5+(-12/7)÷ -31/7×1/-2.
13/5-12/7=31/35.
-31/7×1/-2=31/14.
31/35÷31/14=14/35.
Seven times the difference of twice a number and nine ...
Answer:
4.5
Step-by-step explanation:
7(2x-9)
14x-63=0
14x=63
X=4.5
The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "Seven times the difference of twice a number and nine" can be written in the form of an expression as,
Twice of a number → 2xDifference between twice a number and 9 → 2x - 9Seven times the difference of twice a number and nine → 7(2x - 9)Hence, The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).
Learn more about Expression here:
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how many pieces each of length 9/4metre can be cut from a rope of length 40 metre 50 cm
Answer:
18 pieces
Step-by-step explanation:
This is a division problem.
1 m = 100 cm
To convert from cm to m we divide the length in cm by 100.
40 m + 50 cm = 40 m + 50/100 m = 40.5 m
The rope is 40.5 m long.
9/4 m = 2.25 m
Each piece is 2.25 m long.
[tex] \dfrac{40.5~m}{2.25~m} = 18 [/tex]
Answer: 18 pieces
A function is defined by by f(x) = 5(2 - x) . What is f(-) ?
30 POINTS
Answer:
15
Step-by-step explanation:
f(x) = 5(2 - x)
Let x = -1
f(-1) = 5(2 - -1)
f(-1) = 5(2 +1)
= 5(3)
= 15
Help deadline is soon I'm doing another packet rn tho.
Answer:
Step-by-step explanation:
12. 40h + 100 = 300
40h = 200
h = 5 hours
answer is A
13. 4p - 4 = 48
4p = 52
p = $13
answer is C
14. e + 3e = 24
4e = 24
e = 6
16. 3p + $4.29 = $8.94
3p = $4.65
p = $1.55
answer is B
17. 2x + 2x + x - 6 = 74
5x - 6 = 74
5x = 80
x = 16
2(16) = spearmint gum
answer is D
15. x + 2x + 10 = 76
3x + 10 = 76
3x = 66
x = 22 years old
2(22)= 44 years old
18. 2x + 26 = 54
2x = 28
x = 14
answer is B
Mr. Jackson is ready to empty his backyard swimming pool for the winter. He knows that the time, T, required to empty the pool varies inversely as the rate, R, of pumping. Mr. Jackson's old pump could empty the pool in 55 minutes, pumping at a rate of 200 gallons per minute. This year he has a new pump which pumps at a rate of 325 gallons per minute. How long will it take to empty the pool this season? Round your answer to the nearest minute. DUE IN 2 HOURS, 15 POINTS, WILL GIVE BRAINLIEST.
Answer:
34 minutes
Step-by-step explanation:
Given that T varies inversely as R then the equation relating them is
T = [tex]\frac{k}{R}[/tex] ← k is the constant of variation
To find k use the condition
T = 55 when R = 200, that is
55 = [tex]\frac{k}{200}[/tex] ( multiply both sides by 200 )
11000 = k, thus
T = [tex]\frac{11000}{R}[/tex] ← equation of variation
When R = 325, then
T = [tex]\frac{11000}{325}[/tex] ≈ 34 minutes ( to the nearest minute )
Answer:
Option 2
Step-by-step explanation:
An inverse variation can be represented by the equation xy=k or y=kx .
If (x1,y1) and (x2,y2) are solutions of an inverse variation, then x1y1=k and x2y2=k
Substitute x1y1 for k
x1y1=x2y2 or x1x2=y2y1
The equation x1y1=x2y2 is called the product rule for inverse variations.
Let x be the time required, and y the rate of pumping.
x1 = 55min y1 = 200gal/min
x2 = Unknown y2 = 325gal/min
(55)(200) = x2(325)
11,000 = x2 (325)
11,000/325 = x2
33.84 = x2
34 minutes
GK=24, HJ=10, and GH=HI=IJ find each length
Answer:
please upload the figure
what is f(3) for f(x)=3x+2
Answer:
f(3) = 11
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 3(3) + 2 = 9 + 2 = 11
Answer: f(3) = 11
Step-by-step explanation: Notice that f is a function of x.
So we want to find f(3).
We find f(3) plugging 3 in for x,
everywhere that x appears in the function.
So we have 3(3) + 2 which is 9 + 2 or 11.
So f(3) = 11.
The quantities xxx and yyy are proportional.
xxx yyy
111111 1\dfrac{2}{9}1
9
2
1, start fraction, 2, divided by, 9, end fraction
212121 2\dfrac{1}{3}2
3
1
2, start fraction, 1, divided by, 3, end fraction
454545 555
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals
Answer: r = 1 10/11
Step-by-step explanation: The quantities x and y are proportional.
The direct variation between {x] and {y} is discussed below.
What is direct variation?Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -
y = Kx
K = y/x
where -
{K} is scale factor.
Given is that the quantities {x} and {y} are proportional.
The general equation of a straight line is -
y = mx + c
{m} - slope
{c} - intercept along the y - axis
The straight line graph also represents a direct variation between {x} and {y}. We can write -
m = (y - c)/x
Here the ratio of (y - c)/x is always constant.
So, we can write -
(y₁ - c)/x₁ = (y₂ - c)/x₂ = m = k
for c = 0, we can write -
y₁/x₁ = y₂/x₂ = m = k {constant}
Therefore, the direct variation between {x] and {y} is discussed above.
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Can you explain why the answer to 12-8x=3(x+4) is x=0 ?
Answer:
12 - 0 = 12.
Step-by-step explanation:
If you substitute all x values for 0, then you get 12 - 8(0) = 3(0+4). Combine like terms and you will arrive at 12 - 0 = 3(4). Which then goes to 12 - 0 = 12. Since 0 has no value, just remove it from the equation. You are left with 12 = 12.
Answer:
it is x= 0
Step-by-step explanation:
you distribute the numbers in the parentheses first so your new equation would be 12 - 8x = 3x + 12 (basically multiply 3 by what was in the parentheses)
then cancel equal terms so 12 - 8x = 3x + 12 becomes -8x = 3x
after that move the variable and the 3 to the left while changing the sign from + to - (the + sign is implied since it's a positive number) your new equation becomes -8x - 3x = 0
next collect like terms so the numbers with the same variable meaning subtract -8x - 3x also known as -8x + -3x creating the equation -11x =0
finally divide both sides of the equation -11x = 0 by -11 creating x=0
Write a number sentence to represent the model. Explain how you determined the number sentence.
90 % sure
The image attached shows an operation that can be represented with whole numbers, becuase there are positive and negative characters.
So, we know by given that there are +4 circles and -7 circles, and the whole can be expressed as the algebraic sum of them,
Therefore, the model can be represented by the number -3, which is the whole because is the result of the operation that represent each type of element.
hope i helped
-lvr
Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
Due to the presence of positive and negative inetegrs, the attached graphic illustrates an operation that can be expressed in whole integers.
As a result, we already know that there exist +4 circles and -7 circles, and that their algebraic total may be used to express the whole.
Because the outcome of the procedure to represent each type of element is the number -3, which is the whole, the model can be represented by this number.
Learn more about integers here:
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80 people were surveyed about their opinion on pizza toppings. 60 people like cheese. 32 people like pineapple. 16 like both cheese and pineapple. How many people liked neither cheese nor pineapple on their pizza?
76 and 4 is the answer of your question
Approximate the value of 6√
Express the radical using the imaginary unit i
Answer:
[tex]=\pm i\sqrt{66}[/tex]
Step-by-step explanation:
So we have:
[tex]\pm\sqrt{-66}[/tex]
This is the same as:
[tex]=\pm\sqrt{66\cdot-1}[/tex]
Separate:
[tex]=\pm\sqrt{66}\cdot\sqrt{-1}[/tex]
Replace the second term with i:
[tex]=\pm i\sqrt{66}[/tex]
The square root of 66 cannot be simplified.
So, this is our answer :)
Idk how to do this plz help me!!
Answer:
A. 130 degrees
B. 50 degrees
Step-by-step explanation:
A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130
B. It 50 because it's vertically opposite angle to angle AEC
Answer:
a. the angle measure is 130°
b. the angle measure is 50°
Step-by-step explanation:
a. you have to subtract 180°- 50° to get 130°
b.angle AEC is congruent to angle DEB so they are both 50°
willa can type 900 words in a quarter of an hour. how many words per minute can willa type?
Answer:
Willa can type 60 words per minute
Step-by-step explanation:
60 minutes = 1 hour
1/4 hour = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
Quarter of an hour= 15 minutes
Willa can type 900 words in 15 minutes
how many words per minute can willa type?
Words per minute= Total words in 15 minutes / 15 minutes
= 900 / 15
= 60 words per minute
Willa can type 60 words per minute
Given f(x)
=
4x + 1
3
solve for F-1(3). (5 points)
Answer:
Step-by-step explanation:
First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)
That means that we are actually looking for function f(y) and we need to solve this equation for "y"
y=(4x + 1)/3
3y = 4x + 1
4x = 3y - 1
x = (3y - 1) / 4
f(y) = (3y - 1)/4
Now we simply put the value of 3 instead of y and find the answer:
f(y=3) = (3*3-1)/4 = 2
Answer is 2
please help. I'm kinda confused.
Answer:
the first picture would be concave and the second one would be convex
Step-by-step explanation:
Well concave means to go inwards and convex means to go outwards.
plzzz HELP will give brainliest 9^-53*9^37
Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).
Step-by-step explanation:
Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:
9^(-53) * 9^(37)
Add exponents keep base
9^(-16)
Hope this helps
Express 0.7 as a fraction
Answer:
7/10
Step-by-step explanation:
In 0.7 we will change the decimal to fraction. First we will write the decimal without the decimal point as the numerator. Now in the denominator, write 1 followed by one zeros as there are 1 digit in the decimal part of the decimal number. Therefore, we observe that 0.7 (decimal) is converted to 7/10
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▹ Answer
7/10
▹ Step-by-Step Explanation
0.7 → The 7 is in the tenth's place, therefore this is written as 7/10.
Final answer - 7/10
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Unscramble the place values. Write the number in standard form.
3 thousands + 4 ones +
8 hundred thousands +
7 hundreds +
ten thousands.
Answer:
8.13704 × [tex]10^{5}[/tex]
Step-by-step explanation:
3000 + 4 + 800000 + 700 + 10000 = 813704
1.What is a negative times a positive 2. A Positive times positive 3. A negative times a negative 4.What is a negative divided by a positive 5.A Positive divided by positive 6. A negative divided by a negative
Answer:
See below.
Step-by-step explanation:
In multiplication and division of two numbers:
equal signs equal positive
different signs equal negative
Now you can answer every question.
1. What is a negative times a positive different signs negative
2. A Positive times positive equal signs positive
3. A negative times a negative equal signs positive
4. What is a negative divided by a positive different signs negative
5. A Positive divided by positive equal signs positive
6. A negative divided by a negative equal signs positive
Answer:
1: - x + = -
2: + x + = +
3: - x - = +
4: - divided by a + is -
5: + divided by a + is +
6: - divided by a - is +