Answer:
x = 20
Step-by-step explanation:
4x and 5x are same- side interior angles and sum to 180° , then
4x + 5x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
x = 20
Step-by-step explanation:
the two angles are same-side interior angles, thus, the two angles add up to 180°
=> 4x + 5x = 180
=> 9x = 180
=> x = 20
PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.
Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.
How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £
Answer:
Account 1: £720, account 2: £1227.38, account 3: £950.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
What’s the value of c if e^3x+6=8
Answer:
A
Step-by-step explanation:
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
Please help me asap. No links please
8th Grade
Answer:
Option P √2.5²-1.2²
Step-by-step explanation:
a = distance between Toby's House and the playground = 1.2 inches
b = distance between the playground and Toby's Friend's House = unknown
c = distance between Toby's House and Toby's Friend's House = 2.5 inches
Use the Pythagorean Theorem to calculate the side length of b:
a²+b²=c²
b²=c²-a²
b=√(c²-a²)
b=√(2.5²-1.2²)
Therefore, option P is correct.
Answer: it is p
Step-by-step explanation:
What is the area of a garden plot that measures 6 1/2 feet by 4 feet?
Answer:
26 sq. ft.
Step-by-step explanation:
So 6 1/2*4
6*4=24, 1/2*4=2
24+2=26
hii please help i’ll give brainliest
Answer: Point K
Step-by-step explanation:
The first number is the x line and the second number is the y line <3 pls mark brainliest
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
16, 12, 29
Answer:
The answer to this question should be acute
how do you find the circumcenter of a triangle?
Answer:
draw the perpendicular bisectors of the sides and extend them. The point at which the perpendicular intersects each other will be the circumcenter of that triangle.
What is the value of the expression (36 1/2)² ?
Answer:
1332 1/4
Step-by-step explanation:
(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4
The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
100 students
Step-by-step explanation:
10% of students in 7th grade ----- 10 students
Divide by 10 on both sides:
1% of students in 7th grade ----- 10 ÷10= 1 student
×100 on both sides:
100% of students in 7th grade ----- 1 ×100= 100 students
Answer:100
Step-by-step explanation:
ticket to the school play cost $9 for adults and $6 for students. The Smith Family bought 4 adult tickets and 5 student tickets. The Jones family bought 3 adult tickets and 7 student tickets. What was the difference in the amount spent by the two families?
Answer:
Difference is $3
Step-by-step explanation:
The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.
The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.
The difference between them is 69-66=$3.
So, the difference between how much the two families spent is $3.
Answer:
3$
Step-by-step explanation:
Smith family:
9x4=36
5x6=30
total=66$
Jones family:
3x9=27
7x6=42
total=69$
difference=3$
Help pls
Find x
a(21)
b(27)
c(9)
d(18)
9514 1404 393
Answer:
a. 21
Step-by-step explanation:
The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.
x^2 +20^2 = 29^2
x^2 = 841 -400
x = √441
x = 21
__
Alternate solution
The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...
x^2 = 9(49)
x = (√9)(√49) = 3·7
x = 21
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
a scalene triangle has 3 uneven sides
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What is the unit rate? 52.5/2.5
Answer:
21
Step-by-step explanation:
Need help finding the Area for both of these shapes.
Answer:
Shape 1 :36
Shape 2 : 18
Step-by-step explanation:
Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36
__________________________________________________________
Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18
Hope this helped! :)
What is the area of the triangle given below?
2
11
O A. 11 sq. units
B. 13 sq. units
C. 8 sq. units
O D. 22 sq. units
Answer:
Area = 11 sq. unitsStep-by-step explanation:
Base = 11 units
height = 2 units
Area = 1/2 × base × height
Area = 1/2 × 11 × 2
Area = 11 sq. units
11 square units is the area of the triangle , option A is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The formula to find area of triangle is half times of base and height
Given Base is 11 units
height is 2 units
Area = 1/2 × base × height
Plug in the values of base and height
Area = 1/2 × 11 × 2
Area = 11 sq. units
Hence, 11 square units is the area of the triangle , option A is correct.
To learn more on Triangles click:
https://brainly.com/question/2773823
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PLZ help for branliest answer. I NEED CORRECT ANSWER
Jodie has 68 red marbles and 272 blue marbles. What percent of Jodie’s marbles are red?
Answer:
20%
Step-by-step explanation:
To do this we need to find the total number of marbles
272 + 68 -> 340
Now we divide 340 by 68 to get
68/ 340 = .2
Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100
.2 * 100 = 20%
20% of Jodie's marbles are red
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 200-ft radius? Use 3.14 for π.
Find the circumference of the circle:
Circumference = 2 x r x pi
Circumference = 2 x 200 x 3.14
Circumference = 1,256 feet.
4 inches/ 12 inches per foot = 0.333 ft.
Divide the circumference by the spacing:
1255/0.333 = 3,768
You will need 3,768 flowers
What is the range?
981356 mean and median
Answer:
mean: 15
median: 14
mode: 13
range: 8
A water tank holds 24,000 gallons. How many ours will it take for 2/3 of water to be used if the water if the water is used at an average rate of 650 gallons per day
Answer: 591 hours
Step-by-step explanation:
First find out what 2/3 of the water is:
= 2/3 * 24,000
= 16,000 gallons
650 gallons are used per day so the time it takes in days to use the above is:
= 16,000 / 650
= 24.62 days
There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:
= 24.62 * 24
= 590.88
= 591 hours
A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?
Answer:
f(4) = 6
Step-by-step explanation:
Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:
y = mx + b
is the same thing as
f(n) = y = mn + b.
It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.
The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(1) = 1 +2
3 = 3
Now do the same thing for f(4):
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(4) = 4 + 2
f(4) = 6
answer only thx thx IMAOSJSJA
Answer:
5) 48
6) 60
Step-by-step explanation:
The scale factor of the scale model of a desk to the actual desk is represented by the ratio 1:16. If the dimensions of the model desk are 2 inches wide by 3.75 inches long what is the actual area of the top of the desk?
find hcf of 3x²+7x-6 and 2x²+7x+3
Given:
The expression are:
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
To find:
The HCF of the given expression.
Solution:
We have,
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
The factor form of given expressions are:
[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]
[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]
[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]
Similarly,
[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]
[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]
[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]
From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.
Therefore, the HCF of given expressions is [tex](x+3)[/tex].
a circle has a radius of sqrt37 units and is centered at 1.3,-3.5
Answer:
80
Step-by-step explanation:
Answer:
(x-1.3)^2 + (y+3.5)^2 = 37
In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.
So if the circle with radius 5 has center (3,-4) then it's equation is:
(x-3)^2 + (y+4)^2 = 25
Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4
GAHHHHHHHHH HELP WITH THIS
if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?
Answer:
45 minutes
Step-by-step explanation:
you can disregard the 1:15 pm time
Answer:
45 minutes.
Step-by-step explanation:
You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.
11:45am to 12:30pm
Adding 15 minutes turns 11:45 am to 12:00 pm
Add another 30 minutes, it becomes 12:30 pm.
Calculate the sum of the minutes:
15+30 = 45 minutes.