Answer:
45
Step-by-step explanation:
1. $70 + $110 = $180
2. $180 ÷ 4 = $45/hour
Help me find x and y please!
Answer:
x = y = 24 units
Step-by-step explanation:
By using the property,
"Radius of a circle perpendicular to a chord bisects the chord in two equal parts"
Since, radius AE is perpendicular to the chord AB,
AD = BD
x = y
AO = OC = 25 [Radii of a circle are equal in measure]
By applying Pythagoras theorem in ΔADO,
AO² = AD² + OD²
(25)² = x² + 7²
625 = x² + 49
x² = 625 - 49
x = 24 units
Therefore, x = y = 24 units
Can you please help me :)
Answer:
P= -3
X= -18
Y= -7
S= -70
B= -9
M= -5
N= 0
Q= -22
The second slide's answers are attached to this message as a pic ;)
Step-by-step explanation:
Hope it was helpful dear ;)
Solve this for me (geometry)
Given:
A figure of a circle. [tex]KJ=6,KL=x-2,ML=4[/tex].
To find:
The length of KJ.
Solution:
From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.
Therefore, the length of KJ is 6 units.
Note: In the given question we need to find KL instead of KJ because KJ is already given.
According to the tangent secant theorem:
[tex]a^2=bc[/tex]
Where,
a is the length of the tangent.b is the length of the external segment of the secant.c is the measure of the secant.Using the tangent secant theorem, we get
[tex]ML^2=KL\times JL[/tex]
[tex](4)^2=(x-2)\times (6+x-2)[/tex]
[tex]16=(x-2)\times (4+x)[/tex]
[tex]16=4x+x^2-8-2x[/tex]
On further simplification, we get
[tex]16=x^2+2x-8[/tex]
[tex]0=x^2+2x-8-16[/tex]
[tex]0=x^2+2x-24[/tex]
Splitting the middle term, we get
[tex]x^2+6x-4x-24=0[/tex]
[tex]x(x+6)-4(x+6)=0[/tex]
[tex](x+6)(x-4)=0[/tex]
[tex]x=-6,4[/tex]
For [tex]x=-6[/tex],
[tex]KJ=-6-2[/tex]
[tex]KJ=-8[/tex], which is not possible because side cannot be negative.
For [tex]x=4[/tex],
[tex]KJ=4-2[/tex]
[tex]KJ=2[/tex]
Therefore, the measure of KL is 2 units.
Which of the following equations has infinitely many solutions? A. 2x + 5(2x + 6) = 12x + 30 B. 2x + 5 = 2 C. 2(x + 5) + 2 = 6x + 2(x + 2) D. 5x + 2 = 2x + 6
Answer:
A. 2x + 5(2x + 6) = 12x + 30
Step-by-step explanation:
Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check
A. 2x + 5(2x + 6) = 12x + 30
2x + 10x + 30 = 12x + 30
12x + 30 = 12x + 30
C. 2(x + 5) + 2 = 6x + 2(x + 2)
2x + 10 + 2 = 6x +2x + 4
2x + 12 = 8x + 4
You only get the same equation for A, therefore A is the correct answer
How much do you need to invest every month to reach a savings goal of $600,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Answer:1828
Step-by-step explanation:
Please help, brainliest for correct answer
Answer:
11494.04 units
Step-by-step explanation:
V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032
You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.
Answer:
x=[tex]\frac{1}{2}[/tex] ft
Step-by-step explanation:
Please see the attached image
(5+2x)(3+2x)=24 - solve for x
15+10x+6x+4x^2=24
4x^2+16x+15=24
4x^2+16x-9=0
Use quadratic formula
[tex]x=\frac{1}{2} , x=-\frac{9}{2}[/tex]
x cannot be negative, so we can rule [tex]-\frac{9}{2}[/tex] out.
x=[tex]\frac{1}{2}[/tex] ft.
Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?
Answer:
3
Step-by-step explanation:
3/4 divided by 1/4 equals 3
Answer:
3
Step-by-step explanation:
3/4 is currently left
Subtract 1/4 by 3/4 until nothing is left
The number you get is 3 therefore the answer is 3
find the missing side of each triangle
Determine the equation of a circle with center at (8, 10) and radius is 6
OMG PLS HELP!!!!!!!!!!!!!! A rectangular prism has a height of 20 cm, length of 7 cm and width of 5 cm. Use the volume formula to find the volume of this prism. A. 140 cm3 B. 500 cm3 C. 700 cm3 D. 900 cm3
Answer:
The correct answer is C: 700 cm³
Step-by-step explanation:
V = l × w × h
V = 7 × 5 × 20
V = 7 × 100
V = 700
In figure, if PQ = QR = 14cm, then find the length of the tangent RT.
gimme answer fastt pls
Step-by-step explanation:
When we observe the figure there are two semicircles , one of radius 14cm . And other will be of 14cm/2 = 7cm ( Since the 2nd semi circle is drawn taking radius of 1st semicircle as diameter.)
Now join T to the center of 2nd semi circle . Therefore , we have
[tex]\tt\to PR = 28cm \\\\\tt\to PQ + 14cm = 28cm \\\\\tt\to PM + MQ = 14cm \\\\\tt\to MQ = 14cm - 7cm \\\\\to\boxed{\orange{\tt MQ = 7cm }}[/tex]
Now , looking at the figure we know that radius is perpendicular to the tangent at point of contact . Here TR is tangent . Therefore ∆TRM is right angled triangle. Using Pythagoras Theorem we have,
[tex]\tt\to 21^2 = RT^2+7^2 \\\\\tt\to RT^2= 441 - 49 \\\\\tt\to RT =\sqrt{392}\\\\\tt\to\boxed{\orange{\tt RT = 19 .79 cm }}[/tex]
Jamie purchases a new pair of shoes for $35. She has a coupon for 15%
off the price of the shoes. What is the cost of Jamie's shoes after using
the coupon?
Answer:
Ewan di ko alam e sorry I didn't understand e
What is the equation of the circle, with center (4, 2) and radius 5 units?
Answer:
Step-by-step explanation:
Let us begin by just getting the equation of the circle first.
(x - 4)^2 + ( y - 2)^2 = 5^2
(x - 4)^2 + ( y - 2)^2 = 25
Now I'm going to graph that equation and discuss it here.
I have graphed the second equation above.Notice that the center is at (4,2) just as the question requested.A second point was put at (4,7). That was to show you that the radius is 5 units. You can calculate that it is 5 units by noticing that 7 - 2 = 5 So the distance from the center to (4,7) is 5 units which is the amount of the radius.Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.A crate contains 100,000 sheets of paper.
If the crate has a mass of 357,100 gm, what is the mass of
a single sheet of paper?
Answer:
3.571 g
Step-by-step explanation:
357,100 / 100,000 = 3.571
Answer:
3.571g
Step-by-step explanation:
357100 grams / 100000 sheets of paper = 3.571g per sheet of paper
whats the answer to this question
Answer:
a=20
Step-by-step explanation:
7+13=20
20-7=13
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
Answer:
Tn = 4(-6)^n-1
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
The sequence is a geometric sequence
Tn = ar^n-1
a is the first term
a = 4
r = -24/4 =144/-24
r = -6
Substitute
Tn = 4(-6)^n-1
If g(x) = 3^Vx-123, find g( - 2).
Answer:
g(-2) = -5
Step-by-step explanation:
We are given the following function:
[tex]g(x) = \sqrt[3]{x - 123}[/tex]
Find g( - 2).
This means that we find g when [tex]x = -2[/tex]. So
[tex]g(-2) = \sqrt[3]{-2 - 123} = \sqrt[3]{-125} = \sqrt[3]{-5^3} = -5[/tex]
So
g(-2) = -5
a theater can hold 120 giants or 144 elves, if 90 giants are already in the theater how much elves can be admitted?
Answer:
36 more elves
Step-by-step explanation:
90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.
0.25 * 144 = 36
36 more elves can fit.
Answer:
36 elves
Step-by-step explanation:
Hope this helps
The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?
Answer:
There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .
Each side of the cube at the Discovery Science Center in Santa Ana is 64 feet long.
(a)
Find the volume (in cubic feet).
cu. ft
(b)
Find the surface area (in square feet).
Answer:
V = 262’144 ft^3, surface area = 24’576 ft^2
Step-by-step explanation:
The volume con be find with this formula =
V = side^3
V = 64^3 = 262’144 ft^3
For find the surface area we can proceed in this way: first of all we can find the area of a face.
A = side^2 = 4096 ft^2
a cube has 6 faces, so we have to the mutiply the value six times.
Surface area = 4096 x 6 = 24’576 ft^2
Corresponding Angles are congruent.
Which angle corresponds with <7?
Answer: Angle 1 corresponds with Angle 7.
18. How many kilograms are in 21,500 grams?
Answer:
0,0215
Step-by-step explanation:
How many miles are in 506,880 inches?
18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her $9 per hour. Write an equation for the total cost Cif Emma rents the car for h hours. If Emma has budgeted $250 for the rental cars, how many hours can she rent the car? Assume the car cannot be rented for part of an hour.
Step-by-step explanation:
Let h be the number of hours.
Total Cost = Fixed Costs + Variable Cost
= Initial Fee + Hourly Charge
= 75 + 9h
Given,
[tex]75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\ = 19 \frac{4}{9} hr[/tex]
Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.
what number is the largest
15%
0.153
1/12
1/7
Answer:
0.153
Step-by-step explanation:
15% =0.15
0.153 = 0.153
1/12 =0.083
1/7=0.142
So the greatest one is 0.153
Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded
daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%
compounded continuously. After 16 years, how much more money would Madeline
have in her account than Alexandra, to the nearest dollar?
Exact answer: 165.5754
Rounded to the nearest dollar: 166
What is the answer to this question
The best answer from the choices provided is option B) 56.
Step-by-step explanation: Simply subtract 34 from 90.
What are the terms in the expression 6r + 5y +3
Step-by-step explanation:
Your que. isn't very clear
Harvey is placing a microwave oven on his kitchen counter. What information does Harvey need?
A. the volume of the microwave oven and the volume of the kitchen counter
B. the area required for the microwave oven and the area of the kitchen counter
C. the perimeter of the microwave oven and the perimeter of the kitchen counter
Answer:
b the area
Step-by-step explanation:
you will need to see if you have enough area for the microwave to fit