Given:
The side of the square garden is 30ft.
To find:
The length of the diagonal of the square garden.
Solution:
We know that, the length of the diagonal of a square is
[tex]d=a\sqrt{2}[/tex] ...(i)
Where, a is the the side of the square.
We have,
Side of the square garden = 30 ft.
Putting a=30 in (i), we get
[tex]d=30\sqrt{2}[/tex]
The measure of the diagonal path is [tex]30\sqrt{2}[/tex] ft.
Therefore, the correct option is D.
Please help me with number 1 to 6 please
Pls, HELP ASAP! 10 POINTS!
1,3,1,2
Step-by-step explanation:
don't know if I'm working correctly
Answer:
4th option
Step-by-step explanation:
The first step for the first two choices are incorrect, the first one is supposed to be same side exterior angles, the second, same side exterior as well. For the third, the third step is not alternate interior angles.
In the diagram, which pair of angles are vertical angles?
•<1 and <2
•<4 and<6
•<6 and <8
•<5 and <3
pls pls help with this. extra points. why would i use factoring to solve this quadratic equation?
Answer: x =
-1/6 -2
explanation:
I looked it up on Math
way
Answer: x=-2 x=-1/6
Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.
(6x+1)(x+2)=0
set them both equal to zero and solve, foil your answer
Two students are using estimation to determine reasonable solutions to the expression 89.1 times 9.3. Katie uses the expression 90 times 10. Amaya uses the expression 89 times 9. Which is the best comparison of the estimates and the actual product?
ratio of girls to boys is 2:3 how many boys if there are 56 girls
Answer:
78 boys
Step-by-step explanation:
If the raio is 2:3 that means there are 5 equal parts
56/2 28
3 x 28 = 78
An integer is chosen random between 1 to 100. find the probability that it is divisible by 8
Answer: 0.12
x is the number which is chosen
The number of ways to choose x from 1 to 100 is 100 (ways)
because x is divisible by 8 => x ∈ {8; 16;...; 96}
=> the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12
the number of ways to choose x which is divisible by 8 is 12 (ways)
=> the probability that x is divisible by 8 is 12/100 = 0.12
Step-by-step explanation:
Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte. She wants to keep her bill at $75.10 per month. Write and solve an equation which can be used to determine x, the number of gigabytes of data Aubrey can use while staying within her budget
Answer:
To stay within budget, she must use 4.4 gigabytes.
Step-by-step explanation:
Giving the following information:
Fixed cost= $57.50 per month
Variable cost= $4 per gigabyte.
She wants to keep her bill at $75.10 per month.
First, we need to establish the total cost formula:
Total cost= 57.5 + 4*x
x= number of gigabytes
Now, we isolate x:
75.1= 57.5 + 4x
17.6/4= x
4.4= x
To stay within budget, she must use 4.4 gigabytes.
Answer:
she has to use 4.4 gigabytes
Step-by-step explanation:
Eli is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Eli reserved twice as many large rooms as small rooms, which altogether can accommodate 65 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
Answer:
Step-by-step explanation:
Answer:
5 small rooms and 10 large rooms
Step-by-step explanation:
EZ POG
standard form of -43/63 is
Answer:
7.28 × 1013
Step-by-step explanation:
The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.
What is the slope of the following line? I need help asap
Answer:
-4/3
Step-by-step explanation:
it says to find the slope you do y2 - y1 / x2 - x1.
From the points, you have x1 = -3, x2 = 0, y1 = 3, y2 = -1.
Plug those in:
-1 - 3 / 0 - (-3) = -4 / 3 = -4/3
Answer:
-1-3/0-(-3)= -4/3
Step-by-step explanation:
since m=y2-y1/x2-x1 the equation would be -1-3/0-(-3) which equals to -4/0+3 which equals -4/3. since it's slope you do not simplify.
A baggage check service charges $4 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of this step function?
A. (6.9, 10)
B. (6.1, 10)
C. (6.0, 10)
D. (5.9, 9)
Answer:
a
Step-by-step explanation:
Answer:
I think it's
Step-by-step explanation:
It might be a because (6.9, 10) is not a graph included.
find 24+3-(2×8)÷3
a. Zero
b. 1.37
c. 13.7
d. 1
5. Which of the following systems of linear inequalities is represented on the graph
below?
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?
???????????????????ASAPP
Answer:
number 3
Step-by-step explanation:
Answer:
M = 2 b= 10
Step-by-step explanation:
Turn it to mx + b form
By +2x to both sides
Y = 2x + 10
what is the answer to (a+3)(b+5)
Answer:
ab+5a+3b+15
Step-by-step explanation:
(a+3)(b+5)
a(b+5)+3(b+5)
ab+5a+3b+15
find the degree of the monomial -3q^4rs^6
Answer:
11
Step-by-step explanation:
q^4=4
r=1
s^6=6
4+1+6=11
write two numbers that multiply to the value on top and add to the value on bottom. its for a test
Answer:
-6 and -3
Step-by-step explanation:
show how to rewrite 1/5 with the denominator 10.
Answer:
first blank: 2
second blank: 2
Which of the following statements are true?
Please help..
Answer:
The answer is C
Pleaseee helppp answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
PLEASE I WLL GIVE BRAINLIEST JUST HELPS MEEEEE OMG IM ON MY SECOND ATTEMPT PLS PLS PLS HELP
Answer:
[tex] \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}[/tex]
Step-by-step explanation:
[tex] \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ [/tex]
Select all please!:)
Answer:
d
Step-by-step explanation:
Answer:
the second one and the last one
Step-by-step explanation:
pls help me with this equation!!!!!!!!!!!!!
Answer:
The missing angle is 65°
Step-by-step explanation:
For context, all triangles' angles will always add up to 180°. The outside angle of S is supplementary to the inside angle, so in order to find S:
180 - 153 = 27°
<TSU = 27°
S = 27°
U = 88°
As mentioned before, angles of triangles will add up to 180. In order to find the missing angle (?) we will add the other two sides and subtract them from 180.
27 + 88 = 115
180 - 115 = 65°
20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00
A figure is going to be dilated by a scale factor of 3.5.
A. The area will change by a factor of 3.5.
B. The area will change by a factor of 7.
C. The area will change by a factor of 12.25.
D. The area will change by a factor of 49.
Which of the following describes the effect of the dilation on the area of the figure? P.S I will give brainliest
Please help me solve this problem.
solve this
|2x-7|=1
I need help
unfortunetly my answer was wrong so i edited it........
Answer:
x = 3, x = 4
Step-by-step explanation:
The absolute value function always gives a positive result.
However the expression inside can be positive or negative, that is
2x - 7 = 1 or - (2x - 7) = 1
solving both
2x - 7 = 1 ( add 7 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
or
- (2x - 7) = 1 ← distribute left side
- 2x + 7 = 1 ( subtract 7 from both sides )
- 2x = - 6 ( divide both sides by - 2 )
x = 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 4 : | 8 - 7 | = | 1 | = 1 = right side
x = 3 : | 6 - 7 | = | - 1 | = 1 = right side
Then x = 3, x = 4 are the solutions
what is 4/12 + 1/12 + 3/12
Answer:
8/12
Step-by-step explanation: