When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.
[tex]\qquad[/tex]____________________
Explanation :-Measure of an angle is 13.8° more than the measure of it's complementary angle. We are asked to find measure of each angle!Solution :-One of the complementary angles be "x" . Then the other angle becomes " (x + 13.8)° "Sum of these two angles is equal to 90° . Since they are complementary angles.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x\ +\ x\ +\ 13.8°\ =\ 90⁰} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x + 13.8° = 90° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 90° - 13.8° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 76.2° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel{\dfrac{76.2°}{2}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = 38.1° }[/tex]
Then –
[tex]\qquad[/tex][tex] \bf \longrightarrow x +13.8° [/tex]
[tex]\qquad[/tex][tex] \tt \longrightarrow 38.1° + 13.8° [/tex]
[tex]\qquad[/tex][tex] \tt \longrightarrow 51.9° [/tex]
The measures of the two given angles is 38.1° and 51.9°.[tex]\qquad[/tex]______________________
Factor the expression:
16x^2+25
A) (4x-5i)(4x-5i)
B)(4x-5i)(4x+5i)
C) (4x-5)(4x+5i)
D (4x+5)(4x-5)
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Answer:
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Step-by-step explanation:
Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?
Answer:
3/6
Step-by-step explanation:
Answer:
3/6 é a resposta tabom me de coraçãozinho
Cushman Company had $842,000 in sales, sales discounts of $12,630, sales returns and allowances of $18,945, cost of goods sold of $399,950, and $289,650 in operating expenses. Gross profit equals:
Answer: $120825
Step-by-step explanation:
Add everything up then subtract $842000 by it
Green Valley High School recently completed an expansion. Of the new classrooms, 11 are math
classrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked at
random, what is the probability that the classroom is for math or history?
Answer: 68%
Step-by-step explanation:
The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.
There are 17 total math and history rooms, and 25 rooms total.
17/25 = .68
Multiply that by 100 to get the percent and the answer is 68%
Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8
영
0-1
-4
ANSWERS:
4
1/4
-1/4
-4
Answer:
45
Step-by-step explanation:
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
Can someone please give me the answers for both I will mark u brilliant. asp I need answers for both questions
so 7 x 5.5 = 35.5,
250 x 5.5 = 1375
1/5 of 1375 = 275
2/5 = 550, 3/5 = 825
he spent 825
Which of the following is true about the relation shown below?
The relation is not a function, and its range is (-1,2,3,5).
The relation is a function, and its range is (-1, 2, 3, 5).
The relation is not a function, and the range is (-2,-1, 1, 3, 4).
The relation is a function, and the range is (-2,-1, 1, 3, 4).
Answer:
Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)
12*100 please do it im in a hurry
Answer: 1200
Step-by-step explanation:
12*100 = 1200
Add the two 0’s in 100 to the end of 12 and get 1200
im giving my friends 9 cupcakes thats 60 percent of my order how many more cupcakes do i need to get my order to 100 percent
Answer:
6 more cupcakes.
Step-by-step explanation:
60% of 15 is 9, so 15-9 is 6.
The number of cupcakes needed to get the order to 100% is 6 cupcakes.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
60% = 9 cupcakes
Multiply 100/60 on both sides.
100/60 x 60% = 100/60 x 9 cupcakes.
100% = 5 x 3 cupcakes
100% = 15 cupcakes
Thus,
6 more cupcakes are needed.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
What is the equation of the line that passes through the point (8,6) and has a slope of
{3}{2}
Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after that. Annalisa made 8 the first day and 12 each day after that.
Part A
Drag the numbers to complete the table below. Each number may be used once, more than once, or not at all.
8 12 32 40
Day Manolo Annalisa
1 16
2 28 20
3
32
Part B
Which of the following is a true statement about the relationship between the number of handbags made by Manolo and Annalisa after each day?
A.
Manolo has always made double the number of handbags made by Annalisa.
B.
Annalisa has always made double the number of handbags made by Manolo.
C.
Annalisa has always made 8 more handbags than Manolo.
D.
Manolo has always made 8 more handbags than Annalisa.
Answer:
b and c
that is is it
8 and 40 are the answers for the little chart and the other one is D.
Help me plssssss im stuck I will give brainly
Answer:
Kate.
Step-by-step explanation:
Answer:
Kate, 29.26 is correct
Step-by-step explanation:
99.91 - 70.65 is 29.26
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes? Find the z-table here. 6.68% 10.56% 89.44% 93.32%
Answer:
mean = 4.5
SD = 1.2
Z value = (3-4.5)/1.2 = - 1.25
Percentage based on z value = 1 - pnorm(1.25) = 0.1056498 = 10.56498%
The response times under 3 minutes is 10.56%
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
mean = 4.5
SD = 1.2
Z value = [tex]\frac{3 - 4.5}{1.2}[/tex] = - 1.25
Percentage based on z value = 1 - pnorm(1.25)
= 0.1056498
= 10.56498%
Hence, we can conclude that the response time of fire station under 3 minutes is 10.56%.
Learn more about normal distribution here: https://brainly.com/question/11876263
#SPJ2
-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS
Answer:
14/15
Step-by-step explanation:
Answer:
6/11
Step-by-step explanation:
-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.
Help help help help hell
Answer:
51°
Step-by-step explanation:
angle2 is equal to 51 degrees
Answer:
∠2 = 51°
Step-by-step explanation:
These are consecutive interior angles that add up to 180°. Same as the other problem, you can solve for the angle like this:
[tex]x+129=180\\x=51[/tex]
What is the equation of the line that passes through
(-5, 0) and (4, 3)?
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
The point-slope form of an equation for a line is y = mx + b (m is the slope; b is the y-intercept).
First, find the slope using the two given points.
[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]
At this stage, you know the slope and need to find the y-intercept. Plug in one of the points (either one) into the equation. Let's use (-5, 0).
[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]
The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].
You can check for errors by putting in the point you didn't use...
Check to make sure the point (4, 3) satisfies the equation.
[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex] True!
Please help me with this. thank you. :)
Answer:
11,550
Step-by-step explanation:
1200- 675( because its descending) + 250 ( its ascending) - 525 = 11,550
Find x given the prism has a surface area of 286 in². Explain your thoughts
Answer:
h
=
3
r
=
4
h
=
2
r
=
6
h
=
4
l
=
4
w
=
4
Step-by-step explanation:
evaluate the expression 5 /6 + -3 /5
Step-by-step explanation:
[tex] \frac{7}{30} [/tex]
[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]
in simplest form is _______.
Answer:
5/7
Step-by-step explanation:
The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.
simplify the expression (9n+ 4)-(-1/2n-7)
Answer:
9 1/2n + 11
Step-by-step explanation:
9n + 1/2n + 4 + 7
9 1/2n + 11 or 19/2n + 11
Pls help asap thank you
PLS HELP ASAP PICTURE ATTACHED
Answer:
100000+)9(87)238388292838
find the unknown angle can someone help me pls what is this how do i even find the unknown angle
Answer:
1 135
2 45
3 135
4 45
Step-by-step explanation:
think in terms of supplimentary angles. those that add up to 180
How can the equation of a parabola be derived when given the focus and the directrix?
Answer:
If the focus is to the right of the directrix, then the parabola opens to the right and p>0 . If the focus is to the left of the directrix, then the parabola opens to the left and p<0 .HOPE ITS HELP
3. If dy = x^2y^2 , then what is d2y/dx2
[tex]\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)[/tex]
What is the solution to 12x=4x2+9? x=23
Answer:
x = 17/12
Step-by-step explanation:
12x = 4 x 2 +9
12x = 8 +9
12x = 17
x = 17/12 After divided
Don has seven pairs of shoes, three pairs of pants, and six shirts. If all items are compatible, how many different outfits can he wear?
Answer:
126
Step-by-step explanation:
There are 126 different ways he can wear the outfit.
What is Combination?The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.
Given:
Number of pairs of shoes= 7
Pants= 3 pairs
Shirts= 6
So, different outfits can he wear
= 7 x 3 x 6
= 21 x 6
= 126
Hence, there 126 different ways he can wear the outfit.
Learn more about combination here:
https://brainly.com/question/8969582
#SPJ5
Please help. Due in 30 mins!!
1: 1.645
2. 1.28
4: 95% confidence level (12.93, 13.87)
3: No Idea
5: sorry im a bit rusty
Im so sorry for not answering all you questions