Step-by-step explanation:
9x+30° + 6x = 180° (being a co interior angle)
15x =180-30
x = 150÷15
x=10°
Candice cycles 2 kilometers during each trip to work. How many trips will Candice have to
make to cycle a total of 4 kilometers?
Answer:
2
Step-by-step explanation:
help with this please. Thanks
9514 1404 393
Answer:
3.0
Step-by-step explanation:
The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values
x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3
x ≈ 3.0
The function f(x) is shown in this graph.
(0,2)
The function g(x) = -5x - 6. Compare the slopes.
A. The slope of f(x) is the same as the slope of g(x).
B. The slope of f(x) is undefined, and the slope of g(x) is negative.C. The slope of f(x) is greater than the slope of g(x).D. The slope of f(x) is less than the slope of g(x).
Answer:
D. The slope of f(x) is less than the slope of g(x).
Step-by-step explanation:
✔️Slope of f(x):
Using two points on the line, (0, 2) and (1, -1),
Slope (m) = change in y/change in x
Slope (m) = (-1 - 2)/(1 - 0) = -3/1 = -3
Slope of f(x) = -3
✔️Slope of g(x) = -5x - 6:
The slope of g(x) is -5.
Therefore f(x) has a lesser absolute slope value (3) compared to the absolute slope value of g(x) (5).
Thus, D. the slope of f(x) is less than the slope of g(x).
Solve the system of linear equations by substitution. Check your solilution.
y=x+3 y=5x-5
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Answer:
(x, y) = (2, 5)
Step-by-step explanation:
Substitute the expression for y in the second equation into the first equation:
5x -5 = x +3
4x = 8 . . . . . . add 5-x to both sides
x = 2 . . . . . . divide by 4
y = 2+3 = 5 . . . substitute for x in the first equation
The solution is (x, y) = (2, 5).
Find the exact value of cos 30° in simplest form with a rational denominator.
Answer:
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
Required
Exact value of [tex]\cos(30)[/tex]
[tex]\cos(30)[/tex] is calculated from an equilateral triangle, divided into with the following dimensions
[tex]Hypotenuse = 6[/tex]
[tex]Adjacent = 3[/tex]
[tex]Opposite = 3\sqrt 3[/tex]
So:
[tex]\cos(30) = \frac{3\sqrt3}{6}[/tex]
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
simplify 22+[55-{72÷(7+5×2-11)+3}+2]
Answer:
64Step-by-step explanation:
In the picture
The steps in evaluating 8÷(6−4)+32 are:
36
pemdas rule
paranthesis first
8 ÷ 2 + 32
then division
4 + 32
then addition
36
Which function represents this graph?
Answer:
A
Step-by-step explanation:
Can't be B and C because it's less than 1. Can't be D because there's a y intercept. Also, I could be wrong
A rectangular page is to contain 6 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide. The margins on each side are to be 1 inch wide. Find the dimensions (in inches) of the page such that the least amount of paper is used. (Round your answers to two decimal places.) smaller value in larger value in
Answer:
A(t) = 27.86 in²
Dimensions of the paper:
L = 3.73 in
w = 7.47 in
Step-by-step explanation:
The total area of a rectangular page A = ( x + 2)* (y + 4 ) x is the length and y the wide. x and y are the dimensions of the print area
The print area of the paper is A = 6 in² 6 = x*y y = 6/x
Then print area as a function of x is
A(x) = ( x + 2 ) * ( 6/x + 4 ) ⇒ A(x) = 6 + 4*x + 12/x + 8
Taking derivatives on both sides of the equation:
A´(x) = 4 - 12/x² A´(x) = 0 4 = 12 /x²
x² = 12/4 x =√3 x = 1.73 in and y = 6 / 1.73
y = 3.47 in
Then the dimensions of the paper are.
Length L = x + 2 = 3.73 in and w = 3.47 + 4 = 7.47 in
And the least amount of paper is
A(t) = 3.73* 7.47 = 27.86 in²
To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative
A´´(x) = 24/x³ is always positive A´´(x) > 0 then we have a minimum for A at x = 1.73
Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x
Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
Answer:
Step-by-step explanation:
a^2+b^2=c^2
6^2+10^2=x^2
36+100=x^2
136=x^2
[tex]\sqrt{136[/tex] =x
2[tex]\sqrt{34[/tex] =x
Plz help me at this
Answer: the answer is about 1,2.
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
Find the gradient of the line segment between the points (-2,7) and (4,3). Give your answer in its simplest form
Answer:
m = - 2/3 or
m = - 0.66667.
I don't know which form is simpler.
Step-by-step explanation:
All you want is the slope.
The slope formula is
m = (y2 - y1) / (x2 - x1)
y2 = 7
y1 = 3
x2 = - 2
x1 = 4
My choice of which one is 1 and which one is 2 is totally arbitrary. You could have made y2 = 3 and y1 = 7 and x2 = 4 and x1 = -2
m = (7 - 3) / (-2 - 4)
m = 4 / - 6
m = -2/3 or
m = - 0.6667
I will mark brainliest.
9(5x +1) ÷ 3y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient.
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Explanation:
sum -- the result of addition: 5x+1
term -- a constant, variable, or product of a constant and one or more variables. In the more general sense, a term is any part of the expression that can be considered by itself. An example is 5x
product -- the result of multiplication: 9(5x+1), where 9 is multiplied by the sum (5x+1)
factor -- part of a product: x
quotient -- the result of division: 9(5x+1)÷3
coefficient -- a constant, or the constant that multiplies the variables in a term: 5
_____
Additional comment
The way this is written, there will be the tendency to think of 3y as a term in the same sense that 5x is a term. That would be incorrect. The Order of Operations has you interpret this expression as ...
[tex]\dfrac{9(5x+1)}{3}\cdot y[/tex]
With sales tax, it costs $707 to buy a $700 dining room table. What is the sales tax
percentage?
Write your answer using a percent sign (%).
Answer:
1%
Step-by-step explanation:
707-700=7 tax
700 x tax percentage=7
tax percentage =7/700
Tax percentage= .01 0r 1%
The table shows a soccer team’s number of wins, losses, and ties. A 2-column table with 3 rows titled Soccer Statistics. Column 1 has entries wins, losses, ties. Column 2 has entries 15, 5, 2. What do the ratios 15:5 and 15:22 represent? 15:5 compares losses to wins and 15:22 compares games to wins. 15:5 compares wins to losses and 15:22 compares wins to games. 15:5 compares wins to losses and 15:22 compares wins to ties. 15:5 compares wins to ties and 15:22 compares wins to games.
Answer:
The answer is C
Answer:
Step-by-step explanation:
the answer is 15:5 compares wins to losses and 15:22 compares wins to ties. HOPE THIS HELPS
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
x=10
Step-by-step explanation:
If x=4.5 when y is 9, x is always half of y. x^1 /y^1 = x^2/ y^2
is 1/2 = 1/4
Mr. Rudd built a cabin with 351 logs, and his friend built a cabin with 113 logs. About how many logs did the two of them use
Answer:
464
Step-by-step explanation:
351 + 113. Add them both together to get your answer.
What is 0.851 rounded to the nearest hundredth?
Answer: 0.85 hope this helps
Step-by-step explanation: plz mark brainlest
pls help will give brainliest asap
Answer:
A
Step-by-step explanation:
Have a Great Day
Statement: If an angle's measure is 20°, then it is not obtuse.
What is the converse of the following statement?
A
If an angle is not obtuse, then its measure is 20°.
O
B
If an angle is obtuse, then its measure is not 20°.
O
C
If an angle's measure is not 20°, then it is obtuse.
D
If an angle is not obtuse, then its measure is not
O
20°.
Answer:
Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32
Step-by-step explanation:Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32vSamantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32
In Haiti, the price for five (5) flat rolls is 5 gourdes, around 12 cent. How much would we have to pay for 20 rolls?
Answer: $2.40
Step-by-step explanation:
You would multiply 12 by 20 which would give you $2.40.
The price of the 20 rolls will be equal to 48 cents.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that In Haiti, the price for five (5) flat rolls is 5 gourdes, around 12 cents.
The cost of the 20 rolls will be calculated as,
20 rolls ⇒ 12 cents
1 roll ⇒ 12 / 20 cents
20 rolls ⇒ ( 12 x 20 ) / 20
20 rolls ⇒ 48 cents
Therefore, the price of the 20 rolls will be equal to 48 cents.
To know more about an expression follow
https://brainly.com/question/3358908
#SPJ2
Help with this math image below
The answer is 'Right'.
Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle C = 180 - 58 - 32
= 90°
90° is defined as a right angle.
Therefore, triangle ABC is classified as a right-angled triangle.
The shorter leg of a right triangle is 5 cm shorter than the longer leg. The hypotenuse is 5 cm longer than the longer leg. Find the side lengths of the triangle.
Answer:
suppose
h is hypotenuse
l is longer leg
s is shorter leg
Step-by-step explanation:
l-s=5
l+5-10=s
now solve by linear equation
Solve for x. Round to the nearest tenth, if necessary. 5.5 D 61° х F
Please help
Answer:
Step-by-step explanation:
take 61 degree as reference angle
using cos rule
cos 61=adjacent/hypotenuse
0.48=5.5/x
x=5.5/0.48
x=11.45
x=11.5
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
1.the ratio if the weight of an object on mars to its weight in earth is 9 to 25.If a person weighs 160pouns on earth,how much would the person weigh on mars?
Answer:
57.6 Pounds
Step-by-step explanation:
Weight on Earth = 160 pound
Weight on Mars = (9/25)*160 pound
= 57.6 pounds
side lengths and angle measures in similar figures
Step-by-step explanation:
You can see the full detailed explanation in the attached files
Question 4 of 10, Step 1 of 1
Correct
How much simple interest would be paid on a loan of $10,140 at 8 % for 5 months? Round your answer to nearest cent. assume 360 days in a year 30 days in a month
Answer:
338
Step-by-step explanation:
10,140x.08=811.20 annual interest
811.20/360 x 150(5 months)=338
Donna made $156 for 12 hours of work. at the same rate, how many hours would she have to work to make $221?
Answer:
17 hours
Step-by-step explanation:
156/12 = 13
221/13 = 17
Hope this helped :)
Answer:
17 hours
Step-by-step explanation:
156 / 12 = 13 ( 13 dolars per hour)
221 / 13 = 17 ( 17 hours of work to earn $221)