Answers
Answer:
x = 10; y = 10
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]
theta = 45°
opposite = x
hypotenuse = 10√2
adjacent = y
1) find x using sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]
[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]
[tex]10 = x[/tex]
[tex]x = 10[/tex]
2) find y using cos formula[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]
[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]
[tex]10 = y[/tex]
[tex]y = 10[/tex]
Related Questions
If nuts cost $9.20 per pound, how much would 2 1/2 pound cost?
Answers
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
OA 0
OB 1
OC 2
OD. infinitely many
Answers
Answer:
OD. Infinitely many.
Step-by-step explanation:
Answer:
OC
Step-by-step explanation:
c) Which of these numbers is a square number?
A) 4 x 10^5
B) 9 x 10^4
C) 4 x 10^3
D) 9 x 10^3
Answers
Answer:
A is the correct answer
Answer:
non of them
Step-by-step explanation:
Square number should have power of 1/2 .
Brandi sells insurance plans that cost $1,500 each. She makes a 7.5% commission on each plan that she sells. Her goal is to make $3,600 in commission fees this month.
Please quickly
How many insurance plans must Brandi sell to meet her goal? Show how you found your answer.
Answers
Answer:
Thw answer is 32
Step-by-step explanation:
Answer:
She should sell 32 plans.
Step-by-step explanation:
If she earns 7.5% of $1,500 on each plan she sells, that mean she makes $112.50 on each plan sold. Divide $3,600 by that and you get how many plans she should sell to make $3,600 this month. (3600 / 112.5 = 32)
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Answers
Answer:
$6,600
Step-by-step explanation:
231/0.035= 6,600
Please help me with this question!!
Answers
Answer:
I think your answer will be acute
Step-by-step explanation:
Answer: if you add all of them up and it is less than a 90 degree angle, it would be acute
Step-by-step explanation:
9+20+14=43
Identify the solid produced by rotating the figure around the given axis.
Answers
Answer:
4
Step-by-step explanation:
The solid produced by rotating the figure around the given axis is a cone.
Step-by-step explanation:
A solid is a 3-dimensional structure obtained by rotating the 2-dimensional figure at a given axis.
The line or axis at which the given figure is rotated is known as the axis of revolution.
Given:
A right-angle triangle
To find :
Solid produced by rotating the given figure.
Solution:
When we rotate the given figure as shown in the image, we will obtain a solid known as a cone.
The solid produced by rotating the figure around the given axis is a cone.
Learn more about solid here:
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HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answers
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation:
I am a two-digit number. I have a three in the ones place. I am less than 16.
What number am I?
Answers
Answer:
13
Step-by-step explanation:
It is a two digit number that is less than 16. That means it's either 10,11,12,13,14 or 15. 13 is the only number with a three in the ones place.
PLEASE HELP ill give brainliest if you answer and explain it correctly!!!!!!!! its due soon
:(((((((((
Answers
Step 2
Explanation:
On step 2 they end up multiplying wrong. -3x4 should be -12 not positive 12.
Hope this helps!!
help plz answer thank you
Answers
Simplify fully V8 x V18
Answers
Answer:
12
Step-by-step explanation:
·[tex]\sqrt{8}[/tex]×[tex]\sqrt{18}[/tex]=[tex]\sqrt{144}[/tex]
[tex]\sqrt{144}[/tex]=12
Answer:
12
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]
Simplifying each radical
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Thus
[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]
= 2[tex]\sqrt{2}[/tex] × 3[tex]\sqrt{2}[/tex]
= 2 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]
= 6 × 2
= 12
Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?
Answers
Answer:
I would need to know the number of radios she made each day.
Step-by-step explanation:
lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***
you would get $6.48
then for sunday we would do 0.62 x 2 (that would be 1.24) .
now we add 6.48 and 1.24 to get $7.72 a week.
Can you put any variable in a equation?
Answers
Answer:
no at least i don't think u can because i usually use it in lets say 4x5=n
and the question would say solve for n.
Step-by-step explanation:
can someone help me thanks you get 15 points!
Answers
Explain how to tell if two terms are alike. Show one pair of like terms that each contain at least two variables. Show how to add these like terms. Then show a second pair of terms that are NOT alike, but share some of the same variables. Explain why they are not alike.
Answers
Answer:
Two mathematical terms are alike (not alike) , if they have same (different) variables & in same (different) mathematical treatment.
Step-by-step explanation:
Two mathematical terms are alike, if they have same variables & in same mathematical treatment.
Eg : 2 xy , 5 xy. These are alike, as they have product of x & y being multiplied with constants.
They can be added, subtracted by adding or subtracting their constants.
2 xy + 5 xy = (2 + 5) xy = 7 xy
5 xy - 2 xy = ( 5- 2 ) xy = 3 xy
Two mathematical terms that are not alike are : 2 xy & 5xz , as former has variables x & y, latter has variables x & zAn airplane flew 1100 miles in 2.5 hours. How
fast was it flying in miles per hour?
Answers
Answer:
fast
Step-by-step explanation:
Michael owns dogs, hamsters and fish in the ratio 2:3:6. If he has 6 hamsters, how many pets does he have?
Answers
Answer:
33 pets
Step-by-step explanation:
6/3 = 3
2 + 3 + 6 = 11
11 * 3 = 33
if 2t2 eqauls 4 then wah t is 2t4
Answers
PLEASE HELP I NEED THESE ANSWERS FAST.
What is the slope of questions #2 and 3.
Answers
Answer:
The slope of 2 is -1/2
The slope of 3 is 3/2
Answer:
#2 is -1/2 and #3 is 3/2
Step-by-step explanation:
using rise over run you can find slope in both. in the first one it's a negative slope, as the rise is -1 and the run is 2. same with the 3rd one
3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?
Answers
Answer:
The first brother is 16, the second brother is 8 and the third brother is 4.
Step-by-step explanation:
Since the sum of all the brothers is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.
Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,
Answers
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
Solve for x
What is the measure of the very top angle? (4x-8)
What is the measure of the side angle? (3x-5)
Answers
Angle 3x-5= 100 degrees
A pentagons interior angles all added up together is 540 degrees.
91+125+92=308
The two angles we do not know what are both add up to (540-308) 232 degrees.
So 4x-8+3x-5=232
7x=232+8+5
7x=245
X=245/7=35
X=35
Now we can plug it in the equation.
4x35-8=132
3x35-5=100
Which statements are true?
Select each correct answer.
Since −6 is 6 units to the left of 0, |−6|=6 .
The absolute value of −6 is negative.
The absolute value of −6 is less than the absolute value of 6.
−6 is closer to zero on the number line than −7 , so |−6|<|−7| .
Answers
Answer:
The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)
Step-by-step explanation:
Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).
Express in the form 1:1.
Give 12 as a fully simplified fraction
8:6
Answers
Step-by-step explanation:
[tex] \frac{1}{1} = 1:1[/tex]
[tex] \frac{2}{2} = 1:1[/tex]
[tex] \frac{3}{3} = 1:1[/tex]
[tex] \frac{4}{4} = 1:1[/tex]
[tex] \frac{5}{5} = 1:1[/tex]
[tex] \frac{6}{6} = 1:1[/tex]
[tex] \frac{7}{7} = 1:1[/tex]
[tex] \frac{8}{8} = 1:1[/tex]
[tex] \frac{9}{9} = 1:1[/tex]
[tex] \frac{10}{10} = 1:1[/tex]
[tex] \frac{11}{11 } = 1:1[/tex]
[tex] \frac{12}{12} = 1:1[/tex]
on the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2
Answers
Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the provided equation [tex]y=3x+2[/tex]
We need to draw the graph of the equation.
Put x=0 in the above equation.
[tex]y=3(0)+2[/tex]
[tex]y=2[/tex]
The coordinate is (0,2).
Put y=0 in the given equation.
[tex]0=3x+2[/tex]
[tex]-2=3x[/tex]
[tex]x=\frac{-2}{3}[/tex]
The coordinate is ([tex]\frac{-2}{3}[/tex],0).
Now draw the graph by using the above coordinates.
The required graph is shown below.
Use the distributive property to evaluate the following expression: 9x (4 + 9)
Answers
Answer:
117x.
This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x
36x+81x=117x.
Answer:
117x
Step-by-step explanation:
For problems a - d, write the function in the form LaTeX: y=ab^x. y = a b x . a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 c) LaTeX: y=8^{x+2} y = 8 x + 2 d) LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}
Answers
Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or [tex]ab^x[/tex] for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
[tex]y=3\sqrt{4^{2x}}[/tex] ; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or [tex]34^x[/tex]
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
[tex]y=\frac{\sqrt[3]{5^{3x}}}{2}[/tex] ; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = [tex]\frac{1}{2}5^x[/tex]
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
[tex]y=8^{x+2}[/tex]
on comparing with equation (1) we get a =64 and b =8
y = [tex]64 . 8^x[/tex]
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
[tex]y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}[/tex] = [tex]3^{x+1}[/tex] = [tex]3 . 3^x[/tex]
on comparing with equation (1) we get a =3 and b =3
y = [tex]3 . 3^x[/tex]
Estimate 44 + 33 =
decimals
Answers
Answer:
My estimate is 70, but the answer towards 33 plus 44 is 77
Please correct me If i am wrong
Step-by-step explanation:
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
Answers
Answer:
V= 50.27
Step-by-step explanation:
V=(3.14)4^2(3/3)
50.27
The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³
Volume of cone-based problem:What information do we have?
Diameter of cone = 8 feet
Height of cone = 3 feet
Radius of cone = 8 / 2
Radius of cone = 4 feet
Volume of cone = (1/3)(π)(r²)(h)
Volume of cone = (1/3)(3.14)(4²)(3)
Volume of cone = (1/3)(3.14)(16)(3)
Volume of cone = 50.24 feet³
Find out more information about 'Cone'.
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