Answer:
The answer is D.5(9a-2b)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
5x9a -5x2b= 45a - 10b
so that is the answer
If the terminal point of ø is (1,0), what is tan ø?
Given:
The terminal point of [tex]\phi[/tex] is (1,0).
To find:
The value of [tex]\tan\phi[/tex].
Solution:
If the terminal point of [tex]\theta [/tex] is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that the terminal point of [tex]\phi[/tex] is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
[tex]\tan \phi=\dfrac{0}{1}[/tex]
[tex]\tan \phi=0[/tex]
Therefore, the value of [tex]\tan \phi[/tex] is 0.
Please answer this!!!
Answer:
so a = -1 b = -1/4 and c = 7
Step-by-step explanation:
-x^2 - 1/4x +7
This is in the form
ax^2 + bx +c
so a = -1 b = -1/4 and c = 7
Answer:
[tex]a=-1[/tex]
[tex]b=-\frac{1}{4}[/tex]
[tex]c=7[/tex]
Step-by-step explanation:
Hope this helps:)
What two numbers sum up to 11 and multiply to 18
Answer:
9 and 2
Step-by-step explanation:
9+2=11
9×2=18
Answer:
9 and 2
Step-by-step explanation:
Which of the following graphs is described by the function given below?
y = x^2 - 6x - 16
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
(C).Graph C
Step-by-step explanation:
On a unit circle, the terminal point of 0 is (sqrt3/2,1/2)
What is 0?
Answer:
The measure of [tex]\theta[/tex] is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
"On a unit circle, the terminal point of [tex]\theta[/tex] is [tex]\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)[/tex]. What is [tex]\theta[/tex]?"
The measure of the angle ([tex]\theta[/tex]), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form [tex](x,y)[/tex] is determined by the following inverse trigonometric function:
[tex]\theta = \tan^{-1}\left(\frac{y}{x} \right)[/tex] (1)
If we know that [tex]x = \frac{\sqrt{3}}{2}[/tex] and [tex]y = \frac{1}{2}[/tex], then the measure of [tex]\theta[/tex] is:
[tex]\theta = \tan^{-1} \frac{\sqrt{3}}{3}[/tex]
[tex]\theta = 30^{\circ}[/tex]
The measure of [tex]\theta[/tex] is 30°.
Answer:
its 60 degrees
Step-by-step explanation:
a p e x 2021
Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?
Answer:
68°
Step-by-step explanation:
If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°
Answer:
68°
Step-by-step explanation:
Since angles B and D are opposite each other, they are supplementary.
If real estate agent earns a 3% commission and earned \$4,350 on the closing of a home What was the price of the home?
Answer:
Final price of house = $145,000 (Approx.)
Step-by-step explanation:
Given:
Rate of commission = 3%
Amount of commission = $4,350
Find:
Final price of house
Computation:
Final price of house = Amount of commission / Rate of commission
Final price of house = 4,350 / 3%
Final price of house = 4,350 / 0.03
Final price of house = 145,000
Final price of house = $145,000 (Approx.)
help help help help help help help
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
PLSSS HELPP ASAP
Each of the following data sets has a mean of 5. Which has the greatest variability? (no calculations are necessary)
Α.{1, 3, 5, 7, 9}
В. {1, 1, 1, 1, 21}
с. {3, 4, 5, 6, 7}
D. {5, 5, 5, 5, 5)
Answer:
choose B is the greatest variablity
4-2(2x-3)-(2x-4)=-2(x+3)
Answer:
x = 5
Step-by-step explanation:
Given
4 - 2(2x - 3) - (2x - 4) = - 2(x + 3) ← distribute parenthesis on both sides
4 - 4x + 6 - 2x + 4 = - 2x - 6
- 6x + 14 = - 2x - 6 ( add 2x to both sides )
- 4x + 14 = - 6 ( subtract 14 from both sides )
- 4x = - 20 ( divide both sides by - 4 )
x = 5
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Let's solve:
[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ [/tex]
Step 1: Simplify both sides of the equation.
[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ 4−2(2x−3)+−1(2x−4)=−2(x+3) \\ (Distribute the Negative Sign)
\\ 4+−2(2x−3)+−1(2x)+(−1)(−4)=−2(x+3) \\
4+−2(2x−3)+−2x+4=−2(x+3)
4+(−2)(2x)+(−2)(−3)+−2x+4=(−2)(x)+(−2)(3) \\ (Distribute) \\
4+−4x+6+−2x+4=−2x+−6 \\(−4x+−2x)+(4+6+4)=−2x−6(Combine Like Terms) \\ −6x+14=−2x−6
\\ −6x+14=−2x−6[/tex]
Step 2: Add 2x to both sides.
[tex]−6x+14+2x=−2x−6+2x \\ −4x+14=−6[/tex]
Step 3: Subtract 14 from both sides.
[tex]−4x+14−14=−6−14 \\ −4x=−20[/tex]
Step 4: Divide both sides by -4.
[tex] \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5[/tex]
A test has several multiple choice questions, each with 5 choices. If you guess on 4 questions, what is the probability that you get all 4 correct
Answer:
4/20 or 1/5
Step-by-step explanation:
number of guesses/total possible outcomes (formula for this question since it is an independent event)
total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)
total possible outcomes: 20
number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)
number of guesses: 4
number of guesses/total possible outcomes = 4/20 or 1/5
(I might be wrong lol, I haven't learned it in a long time)
Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment that partitions in the ratio 2/1.
Answer:
[tex]P = (3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-2)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]B = (6,1)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]m:n =2:1[/tex]
Required
The coordinates of P
This is calculated as:
[tex]P = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}][/tex]
So:
[tex]P = (\frac{2*6+1*-3}{2+1},\frac{2*1+1*-2}{2+1})[/tex]
[tex]P = (\frac{9}{3},\frac{0}{3})[/tex]
[tex]P = (3,0)[/tex]
2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles
Answer:
2
Step-by-step explanation:
a article cost$1424 it may be purchased by depositing$560 and making monthly payment of 48 how many months are required to complete payment
Answer:
18months
Step-by-step explanation:
1424-560=864
864÷48=18
Answer:
18
Step-by-step explanation:
$1424-$560= $864
$864 divided by $48 = 18 months
What is the reciprocal of -3 2/7 ? -3 7/2 -23/7 -7/23 3 2/7
Reciprocal of -32/7 = -7/32
Answer:
-32/7 = -7/32
Step-by-step explanation:
ABCD and EFGH are rectangles with AB=10cm ,BC=7cm ,EF=7cm and FG =4cm ,all figures accurate to the nearest cm . Find the largest possible value of the shaded area . *
Answer:
42 cm^2
Step-by-step explanation:
Please find attached an image showing the diagram
area of shaded part = area of larger rectangle - area of smaller rectangle
Area of a rectangle = length x width
larger rectangle = 10 x 7 = 70 cm^2
smaller rectangle = 7 x 4 = 28cm^2
Area of shaded part : 70 - 28 = 42cm^2
Need urgent help for this math question will give brainliest
Answer:
1st box: 6x - 3 = 9
2nd box: 6x = 12
3rd box: x = 2
4th box: y = 4(2) - 3
5th box: y = 8 - 3
6th box: y = 5
Step-by-step explanation:
Part A-
1) 4x-3 = -2x+9
2) 4x+2x -3 = -2x+2x + 9
3) 6x -3 = 9
4) 6x -3+3 = 9+3
5) 6x = 12
6) 6x/6 = 12/6
7) x = 2
Part B-
1) y=4x-3
2) y=4(2)-3
3) y=8-3
4) y= 5
Therefore, x = 2 and y = 5.
I really hope this helps, good luck!
A 16-foot ladder is leaning against a wall and the bottom of the ladder is 7 feet from
the bottom of the wall. How high up the wall is the ladder touching?
round to the nearest tenth
Answer:
13.23 feet^2
Step-by-step explanation:
Jane bought 6 dozen banana at $250per dozen. She sells four and a half dozen at $35 each and the other were sold at $20 each. Determine if she made a profit or loss state her profit or loss as a percentage. Show working
Answer:
87.5% loss
Step-by-step explanation:
6 • 250 = 1500
4.5 • 35 = 157.5
6 - 4.5 = 1.5
1.5 • 20 = 30
157.5 + 30 = 187.5
1500x = 187.5
x = 0.125
12.5% is an 87.5% decrease
In right triangle ABC, sin M = cos 61. If 0
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
PLZ HELP WILL GIVE BRAINLIEST IF RIGHT!!!
Christian goes out to lunch. The bill, before tax and tip, was $10.40. A sales tax of 6% was added on. Christian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
$12.89
Step-by-step explanation:
value of tax:
6 : 100 = x : 10.40
x = (10.40 * 6)/100 = $0.624
new amount
10.40 + 0.624 = $11.02
value of tip
17 : 100 = x : 11.02
x = (11.02 * 17)/100 = $1.8734
Final amount
11.02 + 1.8734 = $12.89
Find the middle point, M, of ab
Distance from A to B = B-A = 18-0 = 18
M is the midpoint which means it is equal distance between A and B
M = distance between A and B divided by 2:
M = 18/2 = 9
Answer: M = 9
Answer:
9
Step-by-step explanation:
If m is a midpoint of AB
then
M = 1/2AB
If AB = 18
Then M = 1/2 of 18
18/2 = 9
Hence M = 9
can anyone help with this? find st and rt
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
Uncle Frank has a paddock on his farm. The paddock is a right angled isosceles triangle and has area 16m2. What is the length of fence enclosing the paddock
Answer:
8 m
Step-by-step explanation:
Applying,
A = bh/2................ Equation 1
Where A = Area of the triangle, b = base of the triangle, h = height of the triangle.
Since the triangle is an isosceles triangle.
Then, b = h
Assuming, b = y m
Given: A = 16 m²
Substitute these values into equation 1
16 = (y×y)/2
16 = y²/2
y² = 16×2
y² = 32
y = √32
y = 4√2 m
Therefore,
b = 4√2 m and h = 4√2 m
Applying pythagoras theorem, to get the length of the fence enclosing the paddock
a² = b²+c²
a² = (4√2)²+(4√2)²
a² = 32+32
a² = 64
a = √64
a = 8 m
Hence the length of the fence enclosing the paddock is 8 m
Mindy puts a rectangular poster of her favorite singer on a wall in her bedroom. What is the perimeter of the poster?
Answer:
Step-by-step explanation:
If I have 75 oranges and I eat two and a half everyday for 30 days how many will I have eaten in one month
Answer:
all 75 of them
Step-by-step explanation:
2.5(30) = 75
What is the slope of the line?
7x+2y=5
Answer:
- 7/2
Step-by-step explanation:
Vince's birthday party is going to be at his favorite science museum next weekend. He has 8 friends who want to see the Dinosaur Discovery show and 4 friends who want to see the Wild Weather show. Typically, the Dinosaur Discovery show costs d dollars per ticket, and the Wild Weather show costs w dollars per ticket. But next weekend, all tickets are half price! Pick all the expressions that represent the total cost of his friends' tickets.
Answer:
See explanation
Step-by-step explanation:
Dinosaur Discovery show = 8 friends
Wild Weather show = 4 friends
Cost of Dinosaur Discovery show = $d
Cost of Wild Weather show = $w
At regular price:
Total cost of his friends' tickets = 8 * d + 4 * w
= 8d + 4w
At half price
Total cost of his friends' tickets =
8 * 1/2d + 4 * 1/2w
= 8/2d + 4/2w
= 4d + 2w
Total cost of his friends' tickets = 4d + 2w
Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1025. What was the rate per hour by each mechanic if the sum of the two rates was $105 per hour?
Answer:
The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.
Step-by-step explanation:
x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours
Then
x + y = 235
5x + 15y = 2375
Just solve these 2 equations above for x and y.
x + y = 235 ⇒ x = 235 - y
Substitute into second equation to find y.
5(235 - y) + 15y = 2375
1175 - 5y + 15y = 2375
10y = 1200
y = 1200/10 = 120
x = 235 - y = 235 - 120 = 115