Answer:
The length of AC is 2.33 units.
Step-by-step explanation:
You have to use Tangent Rule, tanθ = opposite/adjacent :
[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]
Let oppo. = AC,
Let adj. = BC = 5,
Let θ = 25°,
[tex] \tan(25) = \frac{ac}{5} [/tex]
[tex]ac = 5 \tan(25) [/tex]
[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]
The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?
Answer:
4 units
Step-by-step explanation:
Length would be 6 units and width would be 4 units
6*4 = 24 proving my claim to be true
Answer:
Width = 4 units
Step-by-step explanation:
Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;
[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]
The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );
[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]
As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
what is 40.8 ÷ 6? Please explain how you got your answer
Answer:
6.8
How many 6's can go into 40?
6 + 6 + 6 + 6 + 6 + 6 = 36
6 6's
Subtract the amount off
40.8-36=4.8
How many 6's can go into 4.8?
0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48
0.8 6's
4.8 = 4.8 = 0
6 6's + 0.8 6's = 6.8 6's
6.8 is the answer
If you have any questions you can ask
Step-by-step explanation:
A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently
Answer:
All cubes, regardless of size, will have 6 faces and 12 edges.
Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.
Answer:
31
Step-by-step explanation:
I would use my fingers mostly.
But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.
903.6 divided by 29.1
Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.
I hope this helps. I'm sorry if you get this wrong.
Answer:
30
Step-by-step explanation:
Round 903.6 to 900 and 29.1 to 30
So 900/30
= 30
This would be my estimated answer
Also 30^2
= 900
Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem
Answer:
1) 3.5
2) 0.875
5)7y -14
Step-by-step explanation:
1)7y= 0+2
Y= 2/7=
3.5
2)7y= 6+2=8
Y= 8/7=0.875
5) I just multiplied outside value which is7 with the value inside the bracket
I just solve the one I know.
help me
Factor: 5x2 – 15x – 20.
(a) 5(x-4)(x+1),
(b) -2(x-4)(x+5),
(c) -5(x+4)(x-1),
(d) 5(x+4)(x+1).
Answer:
C
Step-by-step explanation:
5×2=10
10-15x-20
-10-15x
5(-2-3x), or -5(x+4)(x-1) solve it and find your answer
2/ 7 − 2/15 = ____ solve ?
Answer:
16/105
Step-by-step explanation:
2/7 - 2/15 = 16/105
The answer is 16/105
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Math question do not guess
Can u please answer this question in the picture below or above I guess
Answer: B. 72ᴼ alternate exterior angles theorem
Step-by-step explanation:
Alternate exterior angles because they’re angles on the outside of the transversal.
Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ
find the value of A when pi= 3.142 and r= 5
Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
The value of A = 7.855 units.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, given that,
r= 5 units
Then, A=pi*r^2
=3.142*5^2
=3.142*25
=7.855
hence, the value of A = 7.855 units.
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A counterexample for sinytany=cosy is 0 degrees
true or false?
Answer:
False
sin (y) / cos (y) = cos (y)
cos (y) could be any value from -1 to 1.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Yang–Mills existence and mass gap. Solve that ur a genius
Answer: DescriptionIn mathematical physics, the Yang–Mills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: Yang–Mills Existence and Mass Gap.
What is the volume of box B?
Answer:
Answer: The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..
Step-by-step explanation:
is this the answer you were looking for
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
What is the domain of the function shown on the graph?
Answer:
Step-by-step explanation:
Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is
- ∞ < x < ∞
As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.
Answer:
the answer is 1.041
Step-by-step explanation:
you will do.... 12*8/100
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
12% = discount on purchases.
8% = sales tax.
Now,
If the item cost $x
The function to model the amount after discount.
f(x) = x - (12/100)x = x - 0.12x
The function to model the amount after the sales tax.
g(x) = x + (8/100)x = x + 0.08x
Now,
The rule for the composition function calculates the final price you pay Games Shop.
= x + 0.08x - 0.12x
= x - 0.04x
Thus,
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
Learn more about functions here:
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Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.
Answer:
y= -29 if domain is -4
y=-6 is domain is -2
y=8 if domain is 0
y=22 if domain is 2
Step-by-step explanation:
Find the angle A if angle B is 60 degrees and angle A and angle B are complementary
Answer:
30 degrees
Step-by-step explanation:
Complimentary = 90 degrees
90 - 60 = 30 degrees
Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?
Answer:
$ 809.78
Step-by-step explanation:
Given that
F = future value = $50,000
Interest rate = r = 1.45% = 0.0145
Number of period per year = 12months
Time expressed in years = 5years
The present value of a periodic deposit
P =( F ×r/n)/{ (1+r/n)^nt} -1
Substituting the values into the above formula
P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1
= 50000×0.001208/(1+0.0012)^60}-1
= 60.4/1.0012)^60}-1
60.416/1.074608-1
60.4/0.07460
= $ 809.779
His monthly deposit will be $ 809.78
2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *
__________________________________
The right answer is Acute.
Explanation
Acute angle triangle are those which is more than 0 degree and less than 90 degree.
Hope it help
Good luck on your assignment
________________________________
a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27
Answer:
a) 25
5² = 5×5 = 25
b) 27
3³ = 3×3×3 = 27
(a) The square number is 25.
(b) The cube number is 27.
The following information should be considered:
The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.So based on the given options, we can conclude that
(a) The square number is 25.
(b) The cube number is 27.
Learn more: brainly.com/question/17429689
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
w = -5x^2+20x+160/x
Step-by-step explanation:
Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.
I may be wrong, it's been a while since I solved these types
Which statement best explains why pollution stays within the Earth's atmosphere? *
Answer:
Because of cars, and factories making it everyday.
Step-by-step explanation:
Help please!
How does the function f(x)=x^2−4x−21 illustrate the Fundamental Theorem of Algebra?
Fill in the blanks. (Hint: Your answers are numbers.)
The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____.
f(x)=x²−4x−21
The degree is the biggest power of x. That's a polynomial of degree 2, also called a quadratic function. Let's find its zeros.
0 = x²−4x−21 = (x - 7)(x+3)
x=7 or x=-3
The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r. If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less. The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s. We divide by x-s and get a new polynomial of degree one less. We repeat all this until we get a constant polynomial (degree zero). So we get a zero for every degree. They're not necessarily all different.
Answer:
The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.
Please help me I’m stuck.
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:
[tex]A=\frac{1}{2}(17)(15)sin35[/tex]
Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared
Which equation is equivalent to
(1/3)^x= 27^X+2
Answer:
x=-1½
Step-by-step explanation:
1/3^x=27^x+2
3^-x=3^3x+6
-x=3x+6
-6=3x+x
-6=4x
x=-1½
I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?
Answer:
Step-by-step explanation:
The slope would be determined either by a graph or a equation
you didn't put it in the picture...
Solve the equation.
y + 6 = –3y + 26
Answer: y=5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
y+6=-3y+26
Taking like terms to both side, y+3y=26-6
4y=20(Dividing both sides by 4)
y=5
the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?
Answer:
c. 2.2%
Step-by-step explanation:
The total number of all students in all fields, male and female is 4663.
There are 103 female research scientists.
p(female scientist) = 103/4663 = 0.022 = 2.2%