Answer:
13. 230°
14. -3
14. 14
15. 9
Step-by-step explanation:
I'm srry if these are wrong
please help me with this its math!!
help help help helphelp
The dimensions of a standard tennis court are 36 ft. 78 ft. with a net that is 3 ft. high in the center. The
court is modified for players aged 10 and under such that the dimensions are 27 ft. x 60 ft., and the same
net is used. Use similarity to determine if the modified court is similar to the standard court.
Try to dilate the modified court to make it the same size as the standard court. The dilation factor for the
width is
. The dilation factor for the length is
. Based on similarity, the modified
court is similar to the standard court.
Answer:
The dilation factor of the width is 3/4
The dilation factor of the length is 10/13
The standard court and the modified court are not similar
Step-by-step explanation:
The given dimension of a tennis courts are given as follows;
The width of the standard tennis court = 36 ft.
The length of the standard tennis court = 78 ft.
The height of the net of the standard tennis court = 3 ft.
The width of the modified tennis court = 27 ft.
The length of the modified tennis court = 60 ft.
The height of the net of the standard tennis court = 3 ft.
The dilation factor of the width = (Modified court width)/(Standard court width)
∴ The dilation factor of the width = (27 ft.)/(36 ft.) = 3/4
Therefore, the width of the modified court = 3/4 × The width of the standard court
∴ The dilation factor of the length = (60 ft.)/(78 ft.) = 10/13
Therefore, the length of the modified court = 10/13 × The length of the standard court
The dilation factor for the width is different from the dilation factor for the length and the net of both courts are of equal dimension, therefore, based on similarity theorem, both courts are not similar.
Find the solution set of the inequality 4x -1 < 11.4x−1<11
Answer:
x<3
Step-by-step explanation:
4x -1 < 11
Add 1 to each side
4x -1+1 < 11+1
4x<12
Divide each side by 4
4x/4 <12/4
x<3
Let x and y be inversely related such that y = 2 when x = 5. Find y when x = 15
Answer:
y would be 6
Step-by-step explanation:
Because 5 x 3 would be 15
then you would do 2 x 3 would be 6
Answer:
y=2/3
Step-by-step explanation:
first make the equation to interpret the question
x=k/y
find the value of k, which is a constant
when x=5 and y=2
5=k/2
k=10.
hence, find y when x=15
x=k/y
x=10/y
15=10/y
cross multiply
15y=10
divide both sides by 15
y=10/15
y=2/3
please simplify the equation : -8x-10x
Answer:
-18x
Step-by-step explanation:
-8 -10 = -18
Solve for x: 2x - 6 = 10
Use additive inverses and their properties to find the equivalent expressions
Answer:
1. [tex]-6 + (-3)[/tex]
2. [tex]6 + 3[/tex]
3. [tex]-6 + 3[/tex]
4. [tex]6 + (-3)[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the additive inverse of each
The rule of additive inverse is as follows;
For any positive number (n), the additive inverse is (-n)And for any negative number (-n), the additive inverse is (n)Using the above, the solution is as follows:
[tex]1.\ 6 - (-3)[/tex]
Rule: 6 becomes -6 and - (-3) becomes +(-3)
So, the additive inverse is [tex]-6 + (-3)[/tex]
[tex]2.\ -6 -3[/tex]
Rule: -6 becomes 6 and -3 becomes 3
So, the additive inverse is [tex]6 + 3[/tex]
[tex]3.\ 6 - 3[/tex]
Rule: 6 becomes -6 and -3 becomes 3
So, the additive inverse is [tex]-6 + 3[/tex]
[tex]4.\ -6 - (-3)[/tex]
Rule: -6 becomes 6 and -(-3) becomes +(-3)
So, the additive inverse is [tex]6 + (-3)[/tex]
Find the sum of exterior angles of a 21-gon
Explain how
Answer:
3 sides 180 degrees total
4 sides 180(4-2)
5 sides 180(5-2)
Step-by-step explanation:
n sides angle sum is 180(n-2)
21 sides angle sum is 180(21-2) = 180*19 = 3420
each angle in a regular 21-gon will be 3420/21 = 162.8571429 degrees (apprrox)
external angle = 360 - 162.8571429 = 197.1428571degrees = 197 degrees 8 minutes and 34.29 seconds approximately
which angles are alternate exterior angles?
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.
Find the relation and solve the answers. Options are given below.
Answer:
The correct option is;
A. 453
Step-by-step explanation:
The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779
Similarly the factors of 926 are 1, 2, 463, 926
Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;
For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;
Top number divided by 2 gives 14/2 [tex]{}[/tex] = 7
Bottom left number divided by 3 gives 21/3 [tex]{}[/tex] = 7
Bottom right number divided by 4 gives 36/4 = 9
From which we have the number at the center which is 779
Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;
Top number divided by 2 gives 18/2 [tex]{}[/tex] = 9
Bottom left number divided by 3 gives 6/3 [tex]{}[/tex] = 2
Bottom right number divided by 4 gives 24/4 = 6
From which we have the number at the center which is 962
Therefore, when we have, the numbers at the vertices as follows;
At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;
Top number divided by 2 gives 8/2 [tex]{}[/tex] = 4
Bottom left number divided by 3 gives 15/3 [tex]{}[/tex] = 5
Bottom right number divided by 4 gives 12/4 = 3
From which we have the number at the center is 453.
On a number line, what is the distance between −9 and -5?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are 4 whole numeric units between -5 and -9.
What's the rule for translating a point 4 units left and 8 units up?
Answer:
(x−7,y+5)
A p e x n dat
3(a+5) -2(a+a) explain step by step
Answer:
-a + 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
3(a + 5) - 2(a + a)
Step 2: Simplify
Combine like terms: 3(a + 5) - 2(2a)Distribute 3: 3a + 15 - 2(2a)Multiply: 3a + 15 - 4aCombine like terms: -a + 15HELP SAVE ME I NEED U GIRL
Answer:
pretty sure it would be 42 degrees. angle 3 and 7 would have the same value as well
Step-by-step explanation:
Answer:
42 degrees
Step-by-step explanation:
<4 is congruent to where it already says 42 degrees
Which of the following best shows the commutative property of addition?
4 + 5 = 5 + 4
4 + 5 = 9
4 + 5 = 4 - (-5)
4 + 5 = 4 + (2 + 3)
Answer:
it is A
Step-by-step explanation:
No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4
whats 1,000 x 12,334 its a dumm question
the answer is
1,23,34,000
Answer:
12,334,000
Step-by-step explanation:
Find the value of each variable
[tex]x = 15 \sqrt{2} [/tex]
[tex]y = 15 \sqrt{2} [/tex]
Answer:
x = y = 15[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] ( multiply both sides by 30 )
30 × sin45° = x , then
x = 30 × [tex]\frac{\sqrt{2} }{2}[/tex] = 15[tex]\sqrt{2}[/tex]
The triangle is a right isosceles triangle thus the legs are congruent, then
x = y = 15[tex]\sqrt{2}[/tex]
Write a polynomial function of least degree with integral coefficients that has the given zeros. 2, -1, 3 NEED EXAMPLES ON HOW TO GET THE PROBLEM USIN FOIL METHOD.
Step-by-step explanation:
*Assuming you meant polynomial function of degree 3*
The given zeros are 2, -1, and 3. To get the zeros in the first place, we have a deconstructed polynomial that looks like this:
(x-2)(x+1)(x-3)
Now, we can foil these out. **Quick note: if the degree of your polynomial is greater than 3, simply put a square root on one of the terms: (x-2)^2
After foiling you should get: x^3-4x^2+x+6
If the cost of plastering 4 walls of a room at Rs 45 per sq. m is Rs 8100, find the area of the 4 walls of the room
Step-by-step explanation:
Rs8,100 / (Rs45 per square meter)
= 180 square meters.
The area of the 4 walls of the room is 180 sq.m.
Which of these sentences is always true with a parallelogram?
A.) all sides are congruent
B.) all angles are congruent
C.) the diagonals are congruent
D.) opposite angles are congruent
Answer:
it is D i just bib the test and got it right
Step-by-step explanation:
PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer:
d = 29/4 miles
That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles
Step-by-step explanation:
Answer:
7 1/4
Step-by-step explanation:
4 5/6 miles / 2/3 hour =
= 29/6 * 3/2 miles/hour
= (29 * 3)/(6 * 2) miles/hour
= 29/(2 * 2) miles/hour
= 29/4 mph = 7 1/4 mph
What is the sum of the 12th square number and the 6th square number?
Answer:
180
Step-by-step explanation:
The 12 th square number is
12² = 12 × 12 = 144
The 6 th square number is
6² = 6 × 6 = 36
Thus
sum = 144 + 36 = 180
If f(x)=14x−6, find f(−12).
Answer:
f(-12) = -174
Step-by-step explanation:
f(x) = 14x − 6
f(-12) = 14(-12) - 6
f(-12) = -168 - 6
f(-12) = -174
hope this helps, pls mark brainliest :D
What's dis?? I will give brainliest...... TY
Answer:
A: 24
Step-by-step explanation:
The length of Brown's pin is 6, while the width is 2. If Johnson has two more meter in length, that's 8, and 1 more than the the width, that's 3. 8 x 3 is 24.
lowest common multiple of 22 and 14
Answer:
LCM= 154
Step-by-step explanation:
these two triangles are similar solve for X
Answer:
22.5
Step-by-step explanation:
1st find the scale factor which was 1.5 by doing 13.5/9
2nd do 15 * 1.5 to get x
What’s 100+100 I’ll make brainliest
Answer:its 200
Step-by-step explanation:
Answer:
Its 200, that's a funny question though!
Step-by-step explanation:
Have a good day!
Put each line into slope-intercept form.
1. 2y = 2x - 2
2. x+y=9.
1: y=x-1
2: y=-x+9
I need to write at least 20 characters so here’s a sentence you just read
can any one help with this mathematical problem. fill in the table using this function rule. y=6x-1. 1 ( ) 4( ) 5( ) 9( ). please help
Answer:
1 (5), 4(23), 5(29), 9(53).
Step-by-step explanation:
Well, I just plugged in the terms that looked like the inputs instead of x.