Answer:
Answer is 5 inches on edg
Step-by-step explanation:
Answer:
The correct answer would be 5 inches.
Step-by-step explanation:
Find the area of a circle with radius, r = 7.29m. Give your answer rounded to 2 DP
Answer:
Area of a circle is πr²
where r is the radius
r = 7.29m
Area = π × 7.29²
= 166.957
= 166.96m² to 2 decimal places
Hope this helps you
A linear function includes the ordered pairs (0, 3), (3, 9), and (9, n). What is the value of n?
Answer:
the value of n will be the range
Step-by-step explanation:
lets just give an example of (9,n) and you had to find the value its actually simple
9 is the domain
n is the range
a part of ordered pair function
got it?
For any number y, ⌂y=2y3 . What is the value of ⌂2 + ⌂5 ? NEED HELP ASAP
Answer:
276
Step-by-step explanation:
∆y = 2y3
∆2 = 2(2)3 = 16
∆5 = 2(5)3 = 250
∆2 + ∆5 = 250 + 16 = 276
HELP PLEASE!!! How do I solve this?
Answer:
32
Step-by-step explanation:
tanx=opp/adj.=40/64=5/8=0.625
find tan^-1= 32 degrees
Answer:
A. 32°
Step-by-step explanation:
[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]
Someone please help!!
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Step-by-step explanation:
You can find the amount of students each vehicle can carry by representing the two scenarios in equations.
You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.
High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.
High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.
Now, represent these in equations:
[tex]v+6b = 372\\4v + 12b = 780[/tex]
We can use substitution to solve this system:
[tex]v + 6b = 372[/tex] can be rewritten as [tex]v = 372 - 6b[/tex] after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":
[tex]4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59[/tex]
After solving for b, you can then substitute the new value of b into the other equation to find the value of v:
[tex]v + 6(59) = 372\\v + 354 = 372\\v = 18[/tex]
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Answer:
Van: 18, Bus: 59
Step-by-step explanation:
b - number of students that bus can carry
v - number of students that van can carry
6•b + 1•v = 372 - students from A
6b + v = 372 ⇒ v = 372 - 6b
12•b + 4•v = 780 - students from B
12b + 4(372 - 6b) = 780
12b + 1488 - 24b = 780
- 12x = - 708
b = 59
v = 372 - 6•59 = 372 - 354 = 18
3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27
Answer:
(D) [tex]\dfrac{27}{16}[/tex]
Step-by-step explanation:
Volume of a Cylinder =[tex]\pi r^2h[/tex]
Cylinder A
Height = 3 Units
Radius = 3 Units
[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]
Cylinder B
Height = 4 Units
Radius = 2 Units
[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]
[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]
The correct option is D
Choose the best estimate for the division problem below.
64.309/7.19
A. 12
B. 14
C. 9
Answer:
The estimated answer would be 9
Step-by-step explanation:
The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.
Simplify 2(x - 3) + 7(x + 2)
Answer:
9x + 8.
Step-by-step explanation:
2(x - 3) + 7(x + 2)
= 2x - 6 + 7x + 14
= 2x + 7x - 6 + 14
= 9x + 8.
Hope this helps!
ABCD is a square. The length of each side of the square ABCD is units, and the length of its diagonal is about units.
Answer:
The answer is below
Step-by-step explanation:
From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.
For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:
13² = 12² + x²
169 = 144 + x²
x² = 169 - 144
x² = 25
x = √25 = 5
For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:
15² = 12² + y²
225 = 144 + y²
y² = 225 - 144
y² = 81
y = √81 = 9
The length of AB = x + y = 9 + 5 = 14 unit
Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.
In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:
AC² = AD² + DC²
AC² = 14² + 14²
AC² = 196 + 196 = 392
AC = √392 = 19.8
The length of its diagonal is about 19.8 units
Before using the Gizmo, consider an arithmetic sequence with a first term (a1) of 4 and a common difference (d) of 3.
Challenge: What are the first five terms of the sequence (from lowest to highest)?
Answer:
4, 7, 10, 13 and 16Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as [tex]Tn = a+(n-1)d[/tex].
a is the first term of the sequence
d is the common difference
n is the number of terms
Given the first term a = 4 and common difference d = 3, we can calculate the first five terms of the sequence using the formula.
If n = 2
[tex]T_2 = 4+(2-1)*3\\T_2 = 4+(1)*3\\T_2 = 4+3\\T_2 = 7\\\\when \ n = 3;\\T_3 = 4+(3-1)*3\\T_3 = 4+(2)*3\\T_3 = 4+6\\T_3 = 10\\\\when\ n = 4\\T_4 = 4+(4-1)*3\\T_4 = 4+(3)*3\\T_4 = 4+9\\T_4 = 13\\\\when\ n = 5\\T_5 = 4+(5-1)*3\\T_5 = 4+(4)*3\\T_5 = 4+12\\T_5 = 16\\[/tex]
The first five terms of the sequence from lowest to highest are 4, 7, 10, 13 and 16
help please i need help
Answer:
A=6
B=41
c=42
Step-by-step explanation:
Which of the following is equal to 5 1/3
Answer:
C
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C
Dan Stocked up on batteries.
He Brought 10 packages of AA and AAA batteries for a total of 72 batteries.
The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
1. C+D=10
2.6c+8D=72
Answer: C
Step-by-step explanation:
i just took a test
Answer:Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Number of packages = 10
Total batteries = 72
For AA:
batteries per package = 6
Let number of packages = x
For AAA:
batteries per package = 8
Let number of packages = y
Number of AA packages + number of AAA packages = 10
Sum of AA + sum of AAA equals 72 batteries
x + y = 10
6x + 8y = 72
Step-by-step explanation:
5. In an A.P, the sum of three consecutive terms is 24. When 1 is subtracted to the first term, 2 to the
second, then the terms form a G.P. Find the terms of the A.P.
Answer:
Step-by-step explanation:
Let the three numbers be a-d, a, a+d being a series in AP.
The sum of the three numbers is 24 = a-d+ a+ a+d = 3a
Thus a = 8.
Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or
(a-d-1)(a+d) = (a-2)^2 or
(8-d-1)(8+d) = (8-2)^2, or
(7-d)(8+d) = 36, or
56 -8d +7d -d^2 = 36, or
56 -8d +7d -d^2 - 36 = 0, or
d^2 +d -20 = 0
(d+5)(d-4) = 0
Thus d = -5 or 4
So the AP is 13,8,3 or 4,8,12
Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)
4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2
A necklace contains twenty-four spherical beads of silver, each having a radius of 0.5cm. The beads are to be coated, and the cost of coating is $10 per cm2. What is the approximate total cost, to the nearest cent, for coating the beads?
Answer:
$153
Step-by-step explanation:
To find the total cost, we have to calculate the area of one bead, then all of them:
Area of one bead = pi x r^2 = 3.14 x 0.5^2 = 3.14 x 0.25 = 0.765cm^2
Area of 20 beads = 0.765 x 20 = 15.3cm^2
Now, we are able to calculate the ultimate cost of coating:
If the cost is $10 per cm^2, then we have to find how much it costs to coat 15.3 cm^2.
15.3 x 10 = $153.
Hope this helps
evaluate 21.5 multiplied by 2.51 to 2 decimal place
Answer:
53.96
Step-by-step explanation:
21.5 times 2.51 is 53.965
53.965 to 2 decimal points is 53.96
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Answer:
4=x
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2) distribute
1.5x+6-3 = 4.5x-9 subtract 1.5x from each side
3=3x-9 add 9 to both sides
12=3x divide by on both sides
4=x simplify
Answer:
x=4
Step-by-step explanation
HELPP VERY URGENT !!!!!!!
Answer:
B
Step-by-step explanation:
4.6363 as fraction using long division
Answer:
459/99
Step-by-step explanation:
0.6363... is equal to 63/99.
We want to add 4.
4 = 396/99
396/99 + 63/99 = 459/99
We can double check with a calc.
PLEASE ANSWER QUICK. WILL BRAINLIEST
Table I shows the number of hours per week a basketball player practices free throws and the percentage of free throws the player makes. Table II shows the number of hours the player practices per week and the number of points the player scores in the game. 2 tables. A 2-column table with 5 rows titled Practice hours versus free throws made. Column 1 is labeled Practice hours (p) with entries 8, 6, 9, 7, 4. Column 2 is labeled Percentage of free throws made (f) with entries 70, 55, 75, 67, 50. A 2-column table with 5 rows titled Practice hours versus Points Scored. Column 1 is labeled practice hours (p) with entries 6, 5, 10, 3, 2. Column 2 is labeled Number of Points Scored (s) with entries 22, 18, 45, 10, 7. Yasmin made the graphs below to represent the data in the tables. Practice Hours vs. Free Throws Made A graph has practice time (hours) on the x-axis and free throws made (percentage) on the y-axis. Points are grouped together in a line with positive slope. Practice Hours vs. Points Scored A graph has practice time (hours) on the x-axis and points scored on the y-axis. Points are grouped together in a line with positive slope. What comparison can be made between the two sets of data in the table? They both have strong positive correlation. They both have weak positive correlation. They both have strong negative correlation. They both have weak negative correlation.
Answer:
a. They both have strong positive correlation.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Just took the test and did calculations. 100% correct
Prove that interior angles 1 and 3 are congruent when the lines are parallel with a transversal. PLEASE ANSWER ASAP, DUE IN HALF A HOUR
Answer:
They are congruent because angle 1 &3 are alternate interior angles.
Step-by-step explanation:
Please please help me ❤️❤️❤️
Answer
Step-by-step explanation:
Materials
Water Bottles or Pop Bottles
Glow Sticks
Foam Sheets
Pipe Cleaners
Googly Eyes
Tissue Paper
Mod Podge
Hot Glue Gun
Instructions
Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.
Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.
Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.
Cut 2 wings out of the foam and glue it to the top.
Place your glow stick inside the bottle.
Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.
FIND 2 RATIONAL NUMBER EQUILANT TO 7/19
Answer:
14/38
21/57
Step-by-step explanation:
You just multiply by 2/2 and 3/3
Answer:
14/38
21/57
Step-by-step explanation:
7×2/19×2
= 14/38
7×3/19×3
= 21/57
These are rational numbers because they can be expressed in fractions.
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16), (2, 0) (0, –12), (–6, 0), (2, 0)
Answer:
(-6, 0) and (2, 0)
Step-by-step explanation:
To find the x-intercepts, we can factor the expression:
f(x) = x² + 4x - 12
2 factors of -12 that add up to 4 are 6 and -2
(x + 6)(x - 2)
Set each factor equal to 0 and solve for x:
x + 6 = 0
x = -6
x - 2 = 0
x = 2
So, the x intercepts are (-6, 0) and (2, 0)
Answer:
It's the first option, (-6, 0) (2, 0)
Step-by-step explanation:
100% on Edge
Angles a and b are supplementary . Angle a has a measure of 80 . What is the measure of angle b? The measure of angle b is?
Answer:
100 degrees
Answer above is correct
180-80=100
The measure of the other supplementary angle is 100 degrees.
What are supplementary angles?A supplementary angle are angles that add up to 180 degrees. For example 150 and 30 degrees are supplementary angles. This is because the sum of 150 and 30 degrees is 180 degrees.
In order to determine the valueof angle b, subtract 80 from 180.
Measure of angle b = 180 - 80 = 100
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Find the length of the radius of a circle whose center is at (3,4) and passes through (-3, -4).
Answer:
[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
well we use the distance formula
[tex]\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}[/tex]
so that's the length of the radius
The length of the radius of a circle whose center is at (3,4) and passes through (-3,-4) is given by 10 units.
What is Radius of Circle?Radius of circle is the fixed distance between center and any point lies on the circumference of the circle.
Two distance between two points (a,b) and (c,d) is given by [tex]=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Here in the given problen we have to find the length of the radius of a circle whose center is at the point (3,4) and passes through the point (-3,-4).
So basically we have to find the length between the points (3,4) and (-3,-4).
The radius of circle is given by
[tex]=\sqrt{(-3-3)^2+(-4-4)^2}[/tex]
[tex]=\sqrt{(-6)^2+(-8)^2}[/tex]
[tex]=\sqrt{36+64}=\sqrt{100}=10[/tex]
Hence the length of the radius of the circle is given by 10 units.
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Am I right or wrong (don't answer the last one!)
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
- 14 + 6m = 10
Distributive Property of Multiplication
2 is distributed to -7 and 3m
- 14 + 14 + 6m = 10 + 14
Addition Property of Equality
Adding 14 to both sides.
6m = 24
Simplifying
Simplifying the equation.
[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]
Division Property of Equality
Dividing both sides by 6.
NEED MATH HELP NOW. Please solve for x-intercept.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
2x²-8x+6=0x²-4x+4=1(x-2)²=1x-2=1 ⇒ x= 3x-2= -1 ⇒ x= 1Answer:
(1, 0) / (3, 0)
Step-by-step explanation:
Jim rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 76 cents for each mile driven. Jim had to pay $236.11 when he returned the truck. For how many miles did he drive the truck?
Answer:
287 miles
Step-by-step explanation:
The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.
We can represent the amount he will pay for rent with the equation below:
C = 17.99 + 0.76m
where m = number of miles driven
Jim paid $236.11, therefore:
236.11 = 17.99 + 0.76m
0.76m = 236.11 - 17.99
0.76m =218.12
m = 218.12 / 0.76 = 287 miles
Jim drove 287 miles.
urgenttttt What is the value of x? A right triangle has a vertical hypotenuse labeled 6. A 30 degree angle is marked at the top of the triangle. A second right triangle has a leg that is the same as the side opposite the 30 degree angle of the first triangle. On the second right triangle, the hypotenuse is labeled x and an angle is labeled 45 degrees. Enter your answer, as an exact value, in the box. x =
Answer:
x=30degrees
Step-by-step explanation:
the diagram, if drawn comes as a square. when divided to two triangles, both of them have one right angle each. if the hypotenuse is thirty d on one side, the opposite angle has to be 60d . since the total of all angles is 180d and one side is 90d and the other 60d, the other angle must me 30d
The length of Hypotenuse is 3√2 unit.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Angle= 45 degrees
Hypotenuse = x
Using Trigonometry in Triangle 1
sin 30 = P/ 6
1/2 = P/6
P= 3 unit
Now, In triangle 2
cos 45 = 3/H
1/√2 = 3 / H
H= 3√2 unit
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