Answer:
x=7
Step-by-step explanation:
x*48should be equal to 42*8
I need help on this math question plis
Answer:
9/12 + 1/4 = 12/12 or 1
so the answer is A
Step-by-step explanation:
Find the value of x and y. Write your answers in simplest form.
Answer:
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Step-by-step explanation:
Calculating (x):
Here, we make use of the tan formula
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Adj = x[/tex]
This gives:
[tex]tan\ 60= \frac{16}{x}[/tex]
Make x the subject
[tex]x = \frac{16}{tan\ 60}[/tex]
tan(60) in surd form is [tex]\sqrt{3}[/tex]
So:
[tex]x = \frac{16}{\sqrt{3}}[/tex]
Rationalize
[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
Calculating (y):
Here, we make use of the tan formula
[tex]sin\theta = \frac{Opp}{Hyp}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Hyp= y[/tex]
This gives:
[tex]sin\ 60= \frac{16}{y}[/tex]
Make y the subject
[tex]y= \frac{16}{sin\ 60}[/tex]
tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]
[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]
[tex]y = 16/\frac{\sqrt 3}{2}[/tex]
[tex]y = 16*\frac{2}{\sqrt 3}[/tex]
[tex]y = \frac{32}{\sqrt 3}[/tex]
Rationalize
[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof slopes, correct to the nearest mm
Answer:
Slope sides are;
5.07 m and 6.39 m
Step-by-step explanation:
I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.
From the image attached, the missing angle is θ.
From sum of angles in a triangle,
θ = 180 - (44 + 34)
θ = 102°
Now, a & b represent the slopes of the roof.
Thus, using law of sines which is that;
a/sin A = b/sin B = c/sin C, we can solve as follows;
a/sin 34 = 9/sin 102
a = (9 × sin 34)/sin 102
a = (9 × 0.5512)/0.9781
a = 5.07 m
b/sin 44 = 9/sin 102
b = (9 × sin 44)/sin 102
b = (9 × 0.6947)/0.9781
b = 6.39 m
The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
Answer:
D
Step-by-step explanation:
Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative
The function F(x) = -3(x + 3)^2 + 3.
The correct option is (D).
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.
As per the given data:
We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).
Equation of G(x) = x^2
For a left shift of 3 units x → x + 3.
⇒ y = (x + 3)^2
For a change in concavity, if the curve, multiply by -3.
⇒ y = -3(x + 3)^2
For an up shift of 3 units y → y -3.
⇒ y - 3 = -3(x + 3)^2
The function F(x) comes out to be:
F(x) = -3(x + 3)^2 + 3
Hence, The function F(x) = -3(x + 3)^2 + 3.
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REE PLEASE HELP ASAP!!!!!
A circle is graphed on a coordinate grid. Its center is at (3, 4), and the circle passes through point (3, 1). What is the approximate area, in square units, of the circle? (Use 3.14 for π.)
Which answer choice is correct?
18.84 square units
28.26 square units
31.40 square units
56.52 square units
the last one i think
the width of a rectangle is 3/4 length. The perimeter is 252 cm. What is the width of the rectangle?
“The answer is C. Divide 252/2 to get one width plus one length. Then, divide by seven parts, 3 for the width and 4 for the length. It is 18. Multiply for 3 because of 3/4 and you get 54.“
find the surface area and lateral surface area of the cylinder : radius: 3yd height 6yd
Answer:
Step-by-step explanation:
lateral area=πr²h=π×3²×6=54π sq. yards
surface area=2πr²+πr²h=2π×3²+54π=18π+54π=72π sq. yards
Suppose you save 10% of your annual income for retirement and deposit this amount into an investment account monthly. If your annual income is $39,000, how much are you investing each month?
Answer:
$3250
Step-by-step explanation:
10% of 32500 = 3250
3250 x 12 months = $39,000
Answer:
325 i just did a test and this is the answer
Step-by-step explanation:
Your monthly income is your annual income divided by 12:
= $3,250.
You are investing 10% of $3,250.
Convert 10% to decimal form:
10% = 0.10.
$3,250 × 0.10 = $325
what is 1234565432345676543 minus23456765432123456 times45 this is not gonna be easy mwahahah
Answer:
1.790109879E17 hahahahaha
Step-by-step explanation:
Answer:
1.7901099e+17 = 18.7901099
MWHAHAHAHA
simplify or solve the problem
2 ( 2x - 7 ) = - 34
Answer:
x = -5
Step-by-step explanation:
Original equation:
2(2x - 7) = -34
Use distributive property
2 · 2x = 4x
2 · (-7) = -14
Plug these values back into the equation
4x - 14 = -34
Add 14 to both sides
4x = -20
Divide both sides by 4
x = -5
Hope this helps :)
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Quick need help for this question
HELP PLEASE PLEASE HELP Create an expression that includes 2 Operations 1 Must be addition or subtract, the other multiplication/division Write a word problem that leads us to this
Answer:
Margret, Jay, and Andi each have a sticker collection. Jay has 34 stickers. Margret has 3 times as many stickers as Andi. Andi has 9 more stickers than Jay. How many stickers does Margret have?
How to solve:
a = andi's stickers
j = jay's stickers (34)
m = margret's stickers
9 + j = a or 9 + 34 = 43
so a = 43
a x 3 = m or 43 x 3 = 129
m = 129
Margret has 129 stickers
Offering Brainliest, a 5 star review, and a like on your answer, Please help.
Answer:
I'm pretty sure it's 1,1.
Step-by-step explanation:
Answer:
(1,1)
Step-by-step explanation:
sub to pewdiepie
need help plz thanks for the help
Answer:
m<C = 66°
Step-by-step explanation:
Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:
(5x + 9)° = (7x + 3)°
Solve for x
5x + 9 = 7x + 3
Collect like terms
5x - 7x = -9 + 3
-2x = -6
Divide both sides by -2
x = 3
✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)
m<C + 90° + (7x + 3)° = 180 (substitution)
Plug in the value of x and solve
m<C + 90 + 7(3) + 3 = 180
m<C + 90 + 21 + 3 = 180
m<C + 114 = 180
m<C = 180 - 114 (Subtraction property of equality)
m<C = 66°
what is an example of a dealer incentives
Answer:
a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.
Step-by-step explanation:
how much of an 18% salt water mixture should be added to a 15 gallon 2% salt water mixture to achieve a 7% salt water mixture?
If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.
The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.
The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that
(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07
Solve for x :
0.3 + 0.18x = 0.07 (15 + x)
0.3 + 0.18x = 1.05 + 0.07x
0.11x = 0.75
x = 0.75 / 0.11 ≈ 6.82 gal
Which sign makes this number sentence true? 560 – 39 [ ] 275 x 2
Answer:
560-39<275*2
Step-by-step explanation:
560-39=521
275*2=550
521<550
Answer:
<
Step-by-step explanation:
560 - 39 [ ] 275 × 2
We can evaluate the expressions first before deciding which sign to use.
521 [ ] 550
As you can see, the left side of the equation is smaller than the right side of the equation, so the sign should be <.
521 < 550
521 is smaller than 550.
Other signs and meanings:
> means the left side is bigger than the right side of the equation.
≤ means the left side is smaller than or equal to the right side of the equation.
≥ means the left side is bigger than or equal to the right side of the equation.
Is a²b the same thing as ba² ?
Please explain. Thanks so much!
a²b is the same thing as ba²
b and a are two separate variables lets pretend a is 2 and b is 3
2² * 3 = 4 * 3 = 12
3 * 2² = 3 * 4 = 12
this is the commutative property of multiplication
An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.
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 two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.
Therefore, the two expressions are expanded as shown below,
a²b = a × a × b
ba² = b × a × a
Therefore, the two of the given expressions a²b and ba² are the same.
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what is the least common multiple of 6 10 and 15
Answer:
the answer is 30
Step-by-step explanation:
they all go into 30 some how
PLZ ANSWER WILL MARK BRAINLIEST
Answer:
I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps
Step-by-step explanation:
Which equation is equivalent to X +8 is equal to 21
Answer:
an equation is equivalent to x+8=21 is 13
Step-by-step explanation:
21-8 would equal 13 that how you find the missing variable
(-11,-3),(-6,7) find the slope of the line using slope formula? NEED
Answer:
Your slope will be 2
Step-by-step explanation:
[tex]\frac{7-(-3)}{-6-(-11)}[/tex]= [tex]\frac{10}{5}[/tex]= 2
283.65 + 85.3 =?
Find the sum?
Answer:
368.95
Step-by-step explanation:
⇒ Line up the decimal places to add the numbers:
283.65
+ 85.3
—————
⇒ 85.3 is the same as 85.30:
1
283.65
+ 85.30
—————
368.95
Answer: 368.95
Hope this helps! :)
Answer:
198.35
Step-by-step explanation:
283.65
085.3
_______________
198.35
A recipe uses 8 ounces of cocoa mix to make hot chocolate for 7 people what is the unit rate in ounces per person
Answer:
1.14285714286 ounces per person
Step-by-step explaination:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
following this rule, 8 divided by 7 is 1.14285714286
Your assignment will probably ask you to simplify
how to graph y = x^2+3
Answer:
regular parabola but shifted up 3 on the y axis
Step-by-step explanation:
1 is what percent of 4?
A. 23%
B. 24%
C. 25%
D. 30%
Answer:
C: 25%
Step-by-step explanation:
1/4 = 0.25 = 25%
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
C
Step-by-step explanation:
1 divided by 4 is .25, move the decimal over two points and you get 25%.
The day after a protest held by an employee's union, 32 out of 40 employees did not show up for work at the shoe factory, Which represents the percent of the employees who did show up for work the day after the protest?
Answer:
Step-by-step explanation:
32 out of 40 did not show
8 out of 40 did show
When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.
Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:
The first step is to divide 8 by 40 to get the answer in decimal form:
8 / 40 = 0.2000
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.2000 * 100 = 20.00%
Answer:
20 %
Step-by-step explanation:
Dequan is training for a marathon. He runs 20 miles every 4 days. What is the unit rate for Dequan?
Answer:
Dequan walks 5 miles per day.
Step-by-step explanation:
So solve this problem, we just need to divide 20 miles by 4 days.
20 ÷ 4 = 5
Therefore, Dequan walks 5 miles per day.
Hope this helps! :D
Which expression can be used to find The amount of money for camp leader spends on b books
Answer:
Part A: A. 7.50 x b
Part B: $90
Step-by-step explanation:
Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.
Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.
Which graph shows the solution to the inequality -2x+10>20
Answer:
+20 bc 2x10= 20 so +20>20