Answer:
See below:
Step-by-step explanation:
As there doesn't appear to be a full question, I guess you want me to tell you the definition of complementary.
Complementary and Supplementary angles are when angles make up 90 degrees or 180 degrees respectively, the order being:
+ Supplementary Angles are angles that add up to 180 degrees
+ Complementary Angles are angles that add up to 90 degrees.
So in this context, it means that the sum of the degrees of angles 9 and 10 are equal to 90 degrees.
Cheers!
A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.
Answer:
12a + 5c = 169
22a + 10c = 314
Step-by-step explanation:
if a = adult tickets and c = children's tickets
12 adult tickets and 5 children's tickets costs 169 dollars
12a + 5c = 169
Also, 22 adult tickets and 10 children's tickets cost 314 dollars
22a + 10c = 314
Answer:
Its D :)
Step-by-step explanation:
Have a good day.
2[tex]\frac{3}{5}[/tex] × 3[tex]\frac{1}{3}[/tex]
Answer:
[tex]7\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]
First make these two fractions as improper fractions.
[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]
Now multiply the fractions
[tex]\frac{130}{15}[/tex]
You can divide both sides by 5 to simplify the fraction.
[tex]\frac{26}{3}[/tex]
Now make it as a mixed number.
[tex]7\frac{5}{3}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello there! (:
[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]
Follow these steps to multiply mixed numbers:
Convert them into improper fractions.Multiply. the numerator by the numerator and the denominator by the denominator.Simplify if necessary.Now, how do we convert a mixed number into an improper fraction?
Here are the steps:
Multiply the whole number times the denominator.Add the numerator.Simplify, if necessary.Step 1:
2*5=10
10+3=13
[tex]\frac{13}{5}[/tex]
Now, we do the same to the second fraction:
[tex]\frac{10}{3}[/tex]
[tex]\frac{13}{5} *\frac{10}{3}[/tex]
Step 2. Multiply the numerator times the numerator and the denominator times the denominator:
[tex]\frac{26}{3}[/tex]
Now, let's convert this fraction into a mixed number:
[tex]7\frac{5}{3}[/tex]
Hope it helps you!
If you have any queries, feel free to ask me! (:
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
Find the perimeter. Simplify your answer.
Answer:
The answer would be simplified as 24b + 2
what should be the factors of denominator so that a rational number
a) 2or5
b) only 2
c) only 5
d) 2 and 5
Answer:
Step-by-step explanation:
D
Step-by-step explanation:
according to me option A 2 or 5
(Subtract): √125-√45
Answer:
2√5
Step-by-step explanation:
√125-√45
5√5 - 3√5........simplify
2√5....................combine like terms
125 √45
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u
Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?
PLEASE HELP! DUE IN 2 HOURS!! GEOMETRY PLEASE
Answer:
side lengths are 96 for HI and PQ and 64 for IJ and RQ
hypothenuse is 115
Step-by-step explanation:
delta HIJ = delta PQR
HI = PQ --> 3x = x + 64
divide both sides by x --> 3 = x/x + 64/x *x/x = 1
3 = 1 + 64/x subtract both sides by 1
2 = 64/x --> 2x = 64 divide both sides by 2
x = 32
IJ = RQ --> x + 32 = 2x
divide both sides by x
1 + 32/x = 2 (again, x/x = 1)
subtract both sides by 1
32/x = 1
x = 32
plug in 32 for x to get the side lenghts
so 3(32) = 96
and 32 + 32 = 64
use equation a^2 + b^2 = c^2
96^2 + 64^2 = c^
9216 + 4096 = c^2
13312 = c^2 square root 13312
c = 115.378
what are all solutions that are viable for the inequality.
-2.5+x\le-12−2.5+x≤−12
Answer:
14.5
Step-by-step explanation:
-2.5+x-12-2.5+x≤-12 = 0
2x = 29
x = 29/2
= 14.5
What is the surface area?
8 ft
8 ft
8 ft
Answer:
192!!!
Step-by-step explanation:
4 x +2 y =1 6 // write the equation in slope-intercept form plsss
i'll give you brainliest if correct
Answer:
y= -2x+8
Step-by-step explanation:
the common required form is: y=s*x+i, where s - slope, i - interception.
According to the form and the condition y=-2x+8.
When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?
One pipe takes __ hours alone.
The other pipe takes __ hours alone.
One pipe takes 6 hours working alone.
The other pipe takes 12 hours working alone.
This is a rate of work problem. The formula utilized is
[tex]w=r\times t[/tex]
where
[tex]w[/tex] is the work done[tex]r[/tex] is the rate of work done[tex]t[/tex] is the time taken to do the workWe are looking for how long it will take each pipe to completely fill the pool
For pipe 1 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_1 \times t_1\\\\t_1=\frac{1}{r_1}[/tex]
For pipe 2 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_2 \times t_2\\\\t_2=\frac{1}{r_2}[/tex]
From the question, it would take 9 hours if each pipe took turns to fill half the pool. That is;
[tex]\frac{t_1}{2}+\frac{t_2}{2}=9\\\\t_1+t_2=18[/tex]
However, if both pipes worked together, it would take 4 hours for each pipe. That is;
[tex]w_1+w_2=w\\\\r_1t_1+r_2t_2=w\\\\4r_1+4r_2=1\\\\r_1+r_2=\frac{1}{4}[/tex]
Remember that [tex]r_1=\frac{1}{t_1}[/tex] and [tex]r_2=\frac{1}{t_2}[/tex]. So,
[tex]\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{4}\\\\\frac{t_1+t_2}{t_1t_2}=\frac{1}{4}[/tex]
Also recall that [tex]t_1+t_2=18[/tex]. So,
[tex]\frac{18}{t_1t_2}=\frac{1}{4}\\\\t_1t_2=72[/tex]
The only factors of 72 that satisfy the conditions
[tex]t_1+t_2=18\\\\t_1t_2=72[/tex]
are 6 and 12.
Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours to fill the pool if working alone.
The link below has a similar problem on rate of work
https://brainly.com/question/21485928
Adam has some marbles.
Bradley has twice as many marbles are Adam.
Chris has 5 more marbles than Bradley.
In total they have 55 marbles.
How many marbles does Chris have?
Answer:
Chris has 25 Marbles
Step-by-step explanation:
If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.
Hope this helps!!
What Is the Intersection of Two Sets
Answer:
the set of elements that are common to each of the given sets
Step-by-step explanation:
how do you do vectors
Answer:
i learn and solve them easily they r easy
Answer correctly and u get the brainiest and 20 points! Which equation has a solution of r = 1/3?
3r=1/3
2/2/3+r=3
r−1=2/3
4r = 12
Answer:
Your answer is the second one.
Hope this helps!
Step-by-step explanation:
3 * 1/3 is 1, not 1/3
2 2/3 + 1/3 is equal to 3 and the answer is 3
1/3 - 1 is negative 2/3, not 2/3
4 * 1/3 is 4/3, not 12
Answer: I just keep getting [tex]r=\frac{1}{3}[/tex]
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
A) 10pi/9 inches
B) 5pi/3 inches
C) 100pi/3 inches
D)40pi/3 inches
Will make brainly who answers correctly.
There are 276 nickels. How many whole dollars can be made from this and how many nickels are left over?
Answer:
C:$13. 16 nickles left
Step-by-step explanation:
i know i took this test to on time4learning
umm i have an answer but not sure help
Answer:
tan A = 8/15
sin A = 8/17
cos A = 15/17
Step-by-step explanation:
Follow "SOH-CAH-TOA"
SOH---> sin A = (opposite of the angle mentioned) / hypotenuse
CAH---> cos A = (adjacent of the angle mentioned) / hypotenuse
TOA---> tan A = (opposite of the angle mentioned) / (adjacent of the angle mentioned)
Note: Hypotenuse is the side opposite of 90° of a right-angled triangle.
Determine the measure∠d.
14°is the correct answer.
Please mark my answer as brainest and follow me to get the answer faster
Answer:
∡d = 83°
Step-by-step explanation:
∡d is 180 - 97 = 83°
∡d and the 97° angle are supplementary, meaning their sum is 180 degrees
Identify the indicated sum for the geometric series.
S, for 3 - 6 + 12 – 24 + .....
Answer:
Here,
3
,
(
−
6
)
,
12
,
(
−
24
)
,
...
is the geometric sequn.
w
h
e
r
e
,
1
s
t
t
e
r
m
=
a
1
=
3
and
common ratio
r
=
−
6
3
=
12
−
6
=
−
24
12
=
−
2
and
S
9
=
?
⇒
n
=
9
We know that,
The sum of first n term of Geometric series is :
S
n
=
a
1
(
r
n
−
1
)
r
−
1
Putting ,
a
1
=
3
,
r
=
−
2
and
n
=
9
S
9
=
3
[
(
−
2
)
9
−
1
]
(
−
2
)
−
1
∴
S
9
=
3
[
−
512
−
1
]
−
3
⇒
S
9
=
3
(
−
513
)
−
3
⇒
S
9
=
513
Step-by-step explanation:
Answer:
Step-by-step explanation:
c.r. r=-6/3=-2
[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]
Use the information given to enter an equation in standard form. Slope is 3, and (2, 7) is on the line.
Answer:
3x - y = -1
Step-by-step explanation:
Standard form of equation is Ax + By = C
y - y1 = m (x -x1)
y - 7 = 3 (x - 2)
y - 7 = 3x - 6
3x - y = -7 +6
3x - y = -1
Answer: [tex]y-3x=1[/tex]
Step-by-step explanation:
Standard form :
Ax+By=C
We have a linear function y=kx+b ;
we also know its slope k=3 ; and that it passes through the point (2 ; 7 )
Then:
[tex]y=3x+1[/tex]
now substitute the knowledge of the coordinates of the point
[tex]3\cdot 2+b=7 \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \ }[/tex]
Then we get the function:
[tex]y=3x+1[/tex]
Standard form :
[tex]y-3x=1[/tex]
PLZZ HELP EMMMM!!!!
!!!!!!!!!!!!!!
[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points
If the hexagon has a perimeter of 42 what is one of the side lengths
Answer:
7
Step-by-step explanation:
hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42) with the number of sides (6) and you get the length of one side (7)
42/6 = 7
please help 100 pnts brainlist
Answer:
The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr
Step-by-step explanation:
We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
We first solve i = prt for p. To accomplish this, divide both sides by rt, which results in:
i p
----- = -----
rt 1
Here we substitute $14,400 for p, 0.08 for r and 30 for t.
We get the following expression for p:
$14,400
p = ----------------- = $6,000
(0.08)(30)
The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr
Answer:
6000
Step-by-step explanation:
14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000
Heyyyy help meeee please
Step-by-step explanation:
[tex] \frac{2}{3} of \: 54 = 36 \\ \\ \frac{1}{6} of \: 54 = 9 \\ 36 + 9 = 45 \\ 54 - 45 = 9[/tex]
therefore, 9 students haven't given their speech
Pls help and explain, will give brainliest!
-5+3 + (-1/6)+ 5/6 in fractions form
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
-5+3+(-1/6)+ 5/6
Ok soo -5+3 is -2 So then
-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]
-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])
-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]
please help me i will give brainliest if you get the answer correct!!
the answer is the third option f(2)<g(2)
if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175
(simplify)
i will give brainliest if correct
28 ÷ 7 - √9
Answer:
The answer is 1
Step-by-step explanation:
28:7=4
√9=3
4-3=1
Answer:
1
Step-by-step explanation:
Square root of 9=3
28/7= 4
So 4-3=1
Answer is 1
Hope it is correct
Bob has a piece of wood that is 3/4 inches long. He decides to cut pieces that are 1/8 inches long. How many pieces can Bob cut?
Answer:
Bob can cut 6 pieces
Explanation:
Since he decided to cut pieces that are 1/8 inches long, divide.
> 3/4 ÷ 1/8
To get the answer which is 6
i need help in this math
Answer:
2
Step-by-step explanation:
Plug in 3 for the a's and -2 for the b's:
[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]
Then simplify:
[tex]4 - (-2 + 9) + 3 = ?[/tex]
remember to add 1 as a placeholder if the sign before the parenthesis is a minus:
[tex]4 + 4 - 9 + 3 = ?[/tex]
Solve:
[tex]4 +4 -9+3=2[/tex]