Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let b ft be the height of the blue △.
sin 60° = [tex]\frac{b}{25} [/tex]
b = 25 sin 60°
Let r ft be the height of the red △.
tan 40° = [tex] \frac{r}{20} [/tex]
r = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
Look below (Will give brianliest)
NO link and pls explain
Answer:
80
Step-by-step explanation:
brainliest please ;>
What type of triangle has a circumcenter on the exterior of the triangle?
Answer:
acute triangle
if i m wrong please dont mind and
correct me
Which statement is true about the equations -3x 4y = 12 and #*-}y=I?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
The company has only two division division eight and division be last year division a made 60% of the companies total revenue and division be made 40% of the total revenue this year division as revenue has decreased by 35% and division bees revenue has decreased by 5% which division had higher revenue this year?
9514 1404 393
Answer:
Division A
Step-by-step explanation:
Suppose last year's revenue for the company was 100 units.
Last year's Division A revenue was 0.60×100 = 60. This year's revenue is 1-35% = 65% of last year's, so is ...
60 × 0.65 = 39 . . . . units
__
Last year's Division B revenue was 0.40×100 = 40. This year's revenue is 1-5% = 95% of last year's, so is ...
40 × 0.95 = 38 . . . . units
__
At 39 units this year, Division A still has the higher revenue than Division B at 38 units.
What inequality does the number line graph represent
Answer:
5x + 3 ≥ 18
Step-by-step explanation:
when solved, the inequality is x ≥ 3
x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set
Solve the system using substitution.
y = 4x – 8
y = 2x + 10
Answer:
9,28
Step-by-step explanation:
see image below:)
Geometry question finding radius and area
Thank You!!
Answer:
The radius of Circle D is 8 cm.
The perimeter of ΔABC is (24 + 6√7) cm.
Step-by-step explanation:
First, let the intersection point below D be K and let the intersection point between A and B be J.
Since segment BK, which passes through the center of the circle, is perpendicular to chord AC, BK also bisects AC. Hence, AK = CK.
Connect points A and D to create radius AD. Note that BD is also a radius. Hence, AD = BD.
For ΔABK, by the Pythagorean Theorem:
[tex]AB^2=(BD+1)^2+AK^2[/tex]
Since AB = 12:
[tex]144=(BD+1)^2+AK^2[/tex]
For ΔADK, by the Pythagorean Theorem:
[tex]AD^2=1^2+AK^2[/tex]
Since AD = BD:
[tex]BD^2=1+AK^2[/tex]
Subtract the second equation into the first:
[tex]144-(BD^2)=(BD+1)^2+AK^2-(1+AK^2)[/tex]
Simplify:
[tex]144-BD^2=BD^2+2BD+1-1[/tex]
Hence:
[tex]2BD^2+2BD-144=0[/tex]
Simplify:
[tex]BD^2+BD-72=0[/tex]
Factor:
[tex](BD+9)(BD-8)=0[/tex]
By the Zero Product Property:
[tex]BD=-9\text{ or } BD=8[/tex]
Since the radius must be positive, the radius is 8 cm.
Since we already know AB and BC, we need to find AC to find the perimeter.
Note that AC = AK + CK = 2AK.
From the second equation:
[tex]BD^2=1+AK^2[/tex]
Thus:
[tex]AK=\sqrt{BD^2-1}=\sqrt{(8)^2-1}=\sqrt{63}=3\sqrt{7}[/tex]
Hence:
[tex]AC=2(AK)=2(3\sqrt7)=6\sqrt7[/tex]
Therefore, the perimeter of ΔABC is:
[tex]P=(12)+(12)+(6\sqrt7)=24+6\sqrt7\text{ cm}[/tex]
Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2
Answer:
[tex]x = -2; x = 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x +2[/tex]
Required
For what value of x is: [tex]f(x) = g(x)[/tex]
[tex]f(x) = g(x)[/tex] implies that
[tex]-x^2 + 4x + 12 = x + 2[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]
[tex]-x^2 + 3x + 10 = 0[/tex]
Expand
[tex]-x^2 + 5x-2x + 10 = 0[/tex]
Factorize
[tex]-x(x - 5)-2(x - 5) = 0[/tex]
Factor out x - 5
[tex](-x - 2)(x - 5) = 0[/tex]
Solve for x
[tex]-x - 2 = 0; x - 5 = 0[/tex]
So:
[tex]x = -2; x = 5[/tex]
What is the solution of |4 − y| = 1?
A. y = 3 or y = 5
B. y = −3 or y = −5
C. y = −3 or y = 5
D. y = 3 or y = −5
A is the answer.
Answer:
A
Step-by-step explanation:
|4 − y| = 1
drop absolute value lines
create two problems
4 - y = 1
and
4 - y = -1
solve for y
PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
Customer: "A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?" Representative: "You will receive a discount of __________
Answer:
$21.04
Step-by-step explanation:
123.76 x 17% = 21.0392 = 21.04
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
yes
Step-by-step explanation:
the difference of mean is 10.5
the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.
using this info we can infer that Mr.C uses 10-11 more textbooks monthly
Find the perimeter of the figure.
Answer:
45 inches (choice B)
Step-by-step explanation:
The perimeter is the sum of all of the sides of a shape. Since the sides are given this problem is fairly easier than other problems. You simply have to add the numbers together.
8 + 3 + 3 + 6 + 6 + 19 = 45 inches
Answer:
45 in.
Step-by-step explanation:
Perimeter = 8 + 3 + 6 + 19 + 6 + 3
= 45.
What is the result when 16x + 9 is subtracted from 4x + 6
Answer:
(4x+9)-(16x+9) = 4x+9-16x-9
= -12x
i have 30 sweets and 15 chocolate in a basket.If i take five sweets out the basket,what is the ratio(in its simplest form)of the number of chocolate th the number of sweets left in the basket?
Answer:
If you take 5 sweet out of the basket, then the ratio of the number of chocolate to the number of sweet left in the basket is. \frac{5} {30 - 5} = 5/25 = 1/5
Step-by-step explanation:
PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?
Examine the geometric relationship in the diagram below which option shows the correct value of x and y
Answer:
c
Step-by-step explanation:
What inequality is shown by the graph?
Step-by-step explanation:
2x - 10y > -20
=> x - 5y > -10
or x - 5y +10 > 0
Someone help me please
9514 1404 393
Answer:
$448
Step-by-step explanation:
The given formula will tell you the amount of interest earned:
I = Prt
I = $400·0.02·6 = $48
The account balance will be the sum of the original deposit and the interest it earns:
$400 +48 = $448 . . . . balance after 6 years
On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.
Answer:
C. 1 and 3
Step-by-step explanation:
What is the surface area of the rectangular prism below? 8 19 8
Answer:
736 units squared (c)
Step-by-step explanation:
Took the quiz
Write the word sentence as an inequality.
A number x is greater than 0.
Answer:
x>0
I am very certain.
brainliest?
I need the answer the question is in the picture
Answer:
D) 1 3/4
Step-by-step explanation:
What is the difference between function and operator in math?
Step-by-step explanation:
In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.
What type of correlation is shown in the graph ? positive no correlation linear negative
Answer:
positive
Step-by-step explanation:
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
The graph of which function has an amplitude of 3 and a right phase shift of π/4?
A: y= 3sin2(x- π/4)
B: y = 3 + sin2(x- π/4)
C:y = 3 + sin2(x+ π/4)
D:y = 3sin2(x+π/4)
Answer:
[tex]D.\ y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Step-by-step explanation:
Given
[tex]A = 3[/tex] --- Amplitude
[tex]C = \frac{\pi}{4}[/tex] --- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
[tex]y = A\sin(B(x + C)) + D[/tex]
Substitute values for A and C
[tex]y = 3\sin(B(x + \frac{\pi}{4})) + D[/tex]
By comparison, only option (D) has the above format where
[tex]y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Hence (D) is correct
0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
What is the median of 6, 7, 3, 15, 4, 4.
Answer:
5
Step-by-step explanation:
The median is the middle when the numbers are lined up from smallest to largest
3,4,4,6,7,15
There are 6 number so the middle is the between the 3rd and 4th number
3,4,4, 6,7,15
Take the 3rd and 4th numbers and average
(4+6)/2 = 10/2 = 5
Answer:
median = 5
Step-by-step explanation:
Arrange the data in ascending order :
3 , 4 , 4 , 6 , 7 , 15
Choose the middle number.
Here there are even number of data. Take the average of the middle
numbers .
4 and 6 are the middle number. average of 4 and 6 = ( 4 + 6 ) /2 = 5
Therefore , median = 5
What is the value of x?
Answer:
value of x i think correct answer is 2