Answers
Answer:
a) x and 2x are complementary angles.
b) x = 30
Step-by-step explanation:
x + 2x = 90 (Complementary angles)
3x = 90
x = 30
Related Questions
Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?
Answers
Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answers
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
Find the area of the trapezoid.
Answers
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
https://brainly.com/question/4758162
Cassie purchases a new car for $30,000 that depreciates 6% each year. How much will the car be worth in 10 years? PLEASE HELP ASAP I NEED THIS GRADE!!
Answers
Answer:
it will be worth 3 grand meh pal
Step-by-step explanation:
Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
Answers
Answer:
[tex]x=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.
In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:
[tex]4x+5=8[/tex]
[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])
[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
If rectangle ABCD is reflected over x=3, does the area of the rectangle change? Explain
Answers
Answer:
Nope
Step-by-step explanation:
Rigid transformations don't change the area or perimeter of a shape.
plz help giving brainlest
Answers
Answer: 17
Step-by-step explanation:
You simply jusr divide the area with the lenght given
Answer:
u=17kilometres
Step-by-step explanation:
area of parllelogram =base×height
289km²=17×u
u=289/17=17km
32 + a > 44; 11, 12, 13
Answers
What is the value of x?
Answers
Answer:x = 8.5
Step-by-step explanation:
1. Combine like terms
62+75+9 = 146
2.Set up equation
146+4x = 180
3. Subtract 146 to each side
146-146 + 4x = 180-146 = 34
4. Divide by 4
4x/4 = 34/4
X= 8.5
Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?
Answers
Answer:
33
Step-by-step explanation:
4 drinks for $3 is a unit rate?
Answers
Answer:
No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.
Step-by-step explanation:
Help me with this!!!
Answers
Answer:
yes
Step-by-step explanation:
Y because I said so
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each
cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.
He thinks he will get more than £1.50 in change.
Is Dave correct?
You must show how you get your answer.
Answers
Solve the equation x2 + 4x − 11 = 0 by completing the square. Fill in the values of a and b to complete the solutions.
Answers
Answer:
x = - 2 -[tex]\sqrt{15\\[/tex]
x = - 2 + [tex]\sqrt{15[/tex]
Step-by-step explanation:
The given equation needs to be solved by completing the squares.
The required values are -2+√15, -2-√15
Completing the squaresThe given equation is [tex]x^2+4x-11=0[/tex]
The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]
Comparing with the given equation we have
a = 1
b = 4
c = -11
Rearranging the equation
[tex]x^2+4x=11[/tex]
Finding (b/2)²
[tex](\dfrac{4}{2})^2=4[/tex]
Adding to both sides of the equation
[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]
Learn more about completing the squares:
https://brainly.com/question/24860429
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answers
Answer:
18
Step-by-step explanation:
PLEASE HELP!!!! It’s timed
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 41, adjacent B C is 9, opposite A C is 40.
Answers
Answer:
bStep-by-step explanation:
we are given opposite, adjacent and hypotenuse
and said to find cos(B)
recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]
let adj and hypo be 9 and 41 respectively
so
[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]
hence our answer is b
13.
Find the least common multiple (LCM) of 28 and 63.
Answers
Answer:
252
Step-by-step explanation:
We can use the identity
LCM(a, b) = a * b / GCD(a, b)
GCD(28, 63) = GCD(4 * 7, 9 * 7) = 7
LCM(28, 63) = 28 * 63 / 7 = 28 * 9 = 252
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Answers
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Simplify the expression to standard form
-1/2(8x - 4) + (-5 + 3x)
Answers
Answer:
[tex] - x - 3[/tex]
Step-by-step explanation:
1) regroup term.
[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]
2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.
[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]
3) Factor out the common term 4.
[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]
4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).
[tex] - 2(2x - 1) + 3x - 5[/tex]
5) Expand by distributing terms.
[tex] - (4x - 2) + 3x - 5[/tex]
6) Remove parentheses.
[tex] - 4x + 2 + 3x - 5[/tex]
6) Collect like terms.
[tex]( - 4x + 3x) + (2 - 5)[/tex]
8) Simplify.
[tex] - x - 3[/tex]
Therefor, the answer is -x - 3.
What is the value of y?
E
(3y + 4) (5y-10)
A.)7
B.)5.5
C.)1.75
D.)6
Answers
Answer:
7
Step-by-step explanation:
3*7+4=25
5*7-10=25
PLEASE HELP
Find the measure of the numbered angles
Answers
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°
What is the measure of the missing angle in the triangle below? (Write just the number with NO titles or words)
Answers
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
all triangles have a sum of 180 degrees. so 115+35=150
180-150= 30
COME ON PEOPLE THIS IS 8TH GRADE MATH! Please help before I fail!
Data was collected about the number of years of playing football and annual starting salaries in the NFL. The data can be summarized by the equation s=54x +0.5, where s is the starting salary, in millions, and x is the number of years playing football. According to this model, how much money does an NFL player make each year? Write your answer in millions. Here since nobody wants to answer something that will get your attention! GUYS, PLEASE HELP ME!
Answers
Answer and Step-by-step explanation:
The answer should be 54 million.
Plug in 1 for x, which you get 54.5.
Then you plug in 2 for x, which you get 108.5
Now, subtract the subtract the 1st one from the 2nd one.
108.5 - 54.5 = 54 (million)
#TEAMTREES #PAW (PLANT AND WATER)
please help, find the area
Answers
Answer:
26 units^2
Step-by-step explanation:
You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.
Triangle 1 = 1/2(2 x 7) = 7
Triangle 2 = 1/2(2 x 7) = 7
Triangle 3 = 1/2(2 x 6) = 6
Triangle 4 = 1/2(2 x 6) = 6
Total Area = 26
The area of the kite is 26 units^2
A high jumper starts the bar at 48 inches and raises the bar ½ inch after each jump. How high will the bar be after the seventh jump?
Answers
Answer: 51.5 inches
Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
Answers
HELP ASAP WILL GIVE LOTS OF POINTS AND YOUR ANSWER MUST BE REAL OR ELSE I WILL NOT GIVE POINTS
The virus the suspect created was initially exposed to 5 people, and it spreads at a rate of 51.2% each week. The weight of the suspect is equal to the number of people who will be infected by week 9. (Round to the nearest whole number.) what is the question used to find the weight
Answers
Answer:
I dont know
Step-by-step explanation:
and thats not how it works
495x43
1
Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does
she need to buy 12 ounces of tea leaves?
$5.04
2.355-0.47
0.47 1215.64
In problem 10, how would your work be different if you were asked how many
ounces of tea leaves Taylin could buy with $10?
Answers
Answer:a) $5.64 b) 21 ounces of tea leaves
Step-by-step explanation:
Step 1
5 ounces of tea leaves can be bought with $2.35
1 ounce of tea can be bought with =$2.35/5 =$0.47
12 ounces at the same rate can be bought with
=12 x $0.47 = $5.64
b) 5 ounces of tea leaves can be bought with $2.35
? Ounces of tea leaves can be bought with $10
$2.35 =5 ounces of tea
$10 = ? ounces of tea
= (10 x 5)/2.35
=50/2.35
=21.27 rrounded to 21 ounces of tea leaves
What the answer someone help me!!!
Answers
Step-by-step explanation:
the answer to your question is
16/9
Answer:
16/9
Step-by-step explanation:
remove the bracket
What is the slope of this line? Please answer quick
Answers
Answer:
the slope is 2
Step-by-step explanation: the slope is the rise over run
The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.