What is the length of the diagonal of the square shown below?
7
45°
7
190
7
A. 49
B. 14
C. 71
D. 7
E. 7
F. 7.
Answers
Using the Pythagorean Theorem, it is found that the length of the diagonal of the square shown below is given by:
F. [tex]h = 7\sqrt{2}[/tex]
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the diagonal is the hypotenuse, while the legs are the sides of [tex]l_1 = l_2 = 7[/tex], hence:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]h^2 = 7^2 + 7^2[/tex]
[tex]h^2 = 2 \times 49[/tex]
[tex]h = \sqrt{2 \times 49}[/tex]
[tex]h = 7\sqrt{2}[/tex]
Hence option F is correct.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
Related Questions
What is the value of y in the following system?
4x - 10y = -3
12x + 5y = 12
Answers
Y=3/5
First, set it up so they cancel. I recommend multiplying the second equation by 2, getting
[tex]4x-10y=-3[/tex]
[tex]24x+10y=24[/tex]
add them together, and you get
[tex]28x=21[/tex]
so
[tex]x=3/4[/tex]
then, you plug x into one of the equations (first because it's easier) and get
[tex]3-10y=-3[/tex]
so
[tex]-10y=-6[/tex]
and
[tex]y=3/5[/tex]
between 9 p.m. and 6:36 a.m., the water level in a swimming pool decreased by 6/25. assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answers
Answer:
The hourly drop between the two times is 1/40
Step-by-step explanation:
Firstly, we need to find the difference in time between 9 pm and 6:36 am
That would be 9 hours and 36 minutes
It would be needed to convert 36 minutes to hours
Mathematically, 60 minutes = 1 hour
So 36 minutes = (36 * 1)/60 = 36/60 = 0.6
So the difference between the two time is simple 9.6 hours
So the total drop during the time is given by 6/25
So the hourly drop will be 6/25 divided by 9.6
= 6/25 * 1/9.6 = 6/240 = 1/40
I need help solving this.
What is s?
Answers
Answer:
[tex]\boxed{s=60}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}s =15[/tex]
→ Multiply everything by 4 to get rid of the fraction
[tex]s=60[/tex]
help please
4 1/8c=__ fl oz
a.32 fl oz
b.33/64 fl oz
c.41 fl oz
d.33 fl oz
Answers
Answer:
D
Step-by-step explanation:
Solve for x.
5 + 4/7(21 + 3x) = 41
Answers
Answer:
x = 8
Step-by-step explanation:
first you’ll want to do 4/7 times 21 (a number or fraction in front of a parenthesis without a “+” or ”-“ sign must be multiplied) which is 12, then you add 12+5 to get 17. Next you subtract 17 from 41 to get 24, then you will divide 24 by 3x to get 8 = x.
the population of a country is 9.7x10^7 and is increasing by 8.7x10^5
Show your work
1.How may new people are added after 25 years
2.what is the population after 25
years
Answers
10^7 = 10,000,000
9.7x10^7 = 9.7x10,000,000
9.7x10,000,000 = 97,000,000
8.7x10^5 = 870,000
870,000x25 = 21,750,000
1. 21,750,000 new people are added after 25 years
2. The total population after 25 years is 118,750,000
Answer:
2.10975E17
Step-by-step explanation:
8.7×10^5
×25
----------------------
2,175,000,000
×9.7×10^7
------------------------
2.10975E17
------------------------
The sum of two consecutive integers is at most 45. What is the larger integer?
Answers
Largest would be 23
Which characteristics do the functions have in common? Select two options.
range
domain
minimum
x-intercept
y-intercept
Answers
Range and y intercept are two characteristics they have in common
The characteristics that the functions have in common are the range and the y-intercept.
What is a function?A function refers to a mathematical rule. It is a mathematical operation to be carried out on variables.
For the two functions shown, the characteristics that the functions have in common are the range and the y-intercept.
Learn more about functions:https://brainly.com/question/12431044?
#SPJ2
do you need help with geometry?? Let me help
send me your questions and i will help you!
Answers
Answer:
Thank you!!!!!
Step-by-step explanation:
That's so nice but i'm good right now but thank you!
A carton contains 150 nails. There are 15 nails in a box. How many boxes are in the carton?
Answers
Answer:
10 boxes
Step-by-step explanation:
15 x 10 = 150 or
150 divide by 15 = 10
hope it helps
STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 + 266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer.
Answers
Answer:
16 pounds
Step-by-step explanation:
Given that:
Soap box derby rules :
Racer ≤ 250 pounds
Weight of math club car = 266 pounds
Amount of weight to be removed = a:
266 - a ≤ 250
266 - 250 ≤ a
a ≥ 16 pounds
Warren is trying to find the distance to the bottom of a trench by using similar triangles as shown. Triangle LMN is similar to triangle PON. What is the value of x?
A. 12 m
B. 24 m
C. 30 m
Answers
Hope this helps
What is the value of x when given the equation 62 = (2+3x) ?
Answers
Answer:
x = 20
Step-by-step explanation:
62 = (2+3x)
You want to isolate x, so first you subtract 2 from each side
60 = 3x
Now, you divide each side by 3
20 = x
There's your answer!
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 42. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answers
Answer:
a: K = 2s
K + s = 42
b: 2s + s = 42
K = 28
s = 14
Step-by-step explanation:
1. Come up with equations based on the information given.
K = Kim
s = sister
Kim is twice of her sister -> K = 2s
When you add Kim's age to her sister's age, you get 42 -> K + s = 42
2. Substitue for K to find out the value of s
K = 2s
2s + s = 42
3. Solve for s
s = 42/3
s= 14
4. Solve for K
K = 2s
K = 2*14
K = 28
Please HELPPP!!!
2x^3 + 1x^2 - 3x + 14
Answers
Answer:
6x + 14
Step-by-step explanation:
Original Equation:
2x^3 + 1x^2 - 3x + 14
2x to the 3rd power is 8x
8x + 1x^2 - 3x + 14
1x to the 2nd power is 1x
8x + 1x - 3x + 14
8x + 1x = 9x
9x - 3x + 14
9x - 3x = 6x
6x + 14
Hope I helped :)
Please consider Brainliest :)
Is -27 a integer, Rational number, whole number?
Answers
-27 is an integer
It's not a whole number because a whole number is all POSITIVE whole numbers and ZERO.
It could be rational number but integer is more specific, so the answer is A. integer
find the zeros of each function by factoring. f(x)=2x^2-7x-4 plzzz helpp meeee plzz
Answers
Multiply 2 and 4
x^2 - 7x - 8
(x - 8) (x + 1)
Divide by 2 for both numbers to bring the 2 back that was multiplied
(x - 4) (2x + 1)
(x - 4)
x - 4 = 0
+4 on both sides
x = 4
(2x + 1)
2x + 1 = 0
-1 on both sides
2x = -1
/2 on both sides
x = -1/2
Answer:
x = 4
x = -1/2
Solve - 3.6/1.2
-12
-6
3
-3
Answers
Answer:
this answer would be -3
Step-by-step explanation:
I have done this question so many times lol
Which step did the student make and error in solving the equation?(step numbers in circled in blue font)
A.2
B.3
C.5
D.No mistake
Answers
Answer:
it is A, because they wrote that they added 2x to 5x but didn't actually do that. it should be 7x.
I confuses some one help me
Answers
Answer:
r=4
r=9-5=4
bkbjbjbjnmkmm
0.7(3s+4)−1.1s=7.9 I need a answer
Answers
First, expand the bracket
2.1s + 2.8 - 1.1s = 7.9
Next, collect like terms
s + 2.8 = 7.9
Lastly subtract 2.8 from 7.9 to get your answer.
s = 5.1
(Hope this helps! ^^)
Answer:
[tex]\boxed {s = 5.1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]s[/tex]:
[tex]0.7(3s + 4) - 1.1s = 7.9[/tex]
-Use Distributive Property:
[tex]0.7(3s + 4) - 1.1s = 7.9[/tex]
[tex]2.1s + 2.8 - 1.1s = 7.9[/tex]
-Combine like terms:
[tex]2.1s + 2.8 - 1.1s = 7.9[/tex]
[tex]s + 2.8 = 7.9[/tex]
-Subtract [tex]2.8[/tex] to both sides:
[tex]s + 2.8 - 2.8 = 7.9 - 2.8[/tex]
[tex]\boxed {s = 5.1}[/tex]
So, the value of [tex]x[/tex] is [tex]5.1[/tex].
I just need 8 and 9 pls help been stuck here forever
Answers
Answer:
8: C
9: D
10: C
11: D
Step-by-step explanation:
On number 8, the pattern is by starting from 3, and squaring it. Then you take that square and square it again. So 3 squared is 9, and then you square 9 which is 9 times 9 giving you 81. Then you square 81 giving you 6561.
9: Negative exponents work by flipping the number upside down, and then doing normal exponential work on the now denominator.
If the number is 5 to the power of -3, you are flipping 5 to 1/5 and then doing 5 to the power of 3 which is 5x5x5 giving you 125. Therefore the answer would be 1/125.
10 is the same thing as number 9 except backwards, so you flip 1/2^3 to 2^-3
11 is similar, except you have 3.471 times 1/10000
So you add 4 zeros in front of the 3.471 turning it into 0.0003471
Solve log x = 4. (2 points)
Answers
Answer:
0.60205991
Step-by-step explanation:
type in log 4 in calculator
find an equivalent ratio in 6:88
Answers
Answer:
12:176 or 12/176
Step-by-step explanation:
Multiply both the top and bottom by 2.
6/88. 6 x 2= 12. 88 x 2= 176
So, 6:88 = 12:176 because you multiplied both numbers by 2.
6/88 x 2/2 = 12/176
Rewrite the following improper fraction as a mixed number : -7/ 7
Answers
Answer:
-1
Step-by-step explanation:
Answer:
it just -1. did you forget another number on the ouside of he fraction?
Step-by-step explanation:
Ethan played in two basketball games. He scored 4 fewer points in the second game than he scored in the first. He scored 12 points in the second game. How many points did he score in the first game?
Answers
9514 1404 393
Answer:
16 points
Step-by-step explanation:
You are given ...
second = first - 4
second = 12
Substituting the second equation into the first, we have ...
12 = first - 4
16 = first . . . . . . . . add 4 to both sides
Ethan scored 16 points in the first game.
CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE
ANSWER PART C PLEASEEEEEE
Answers
Answer: 68 degrees
Step-by-step explanation:
solve z-m=z+bx for x
Answers
Answer:
-m/b= x
Step-by-step explanation:
We are solving for x so x needs to be on one side alone.
z - m = z+bx
-z -z
-m= bx
-m/b = bx/b
-m/b= x
Hope this helps!
What is the HCF of 12,30 and 48
Explain your answers please I do t understands
Answers
Answer:
6
Step-by-step explanation:
hcf stands for "highest common factor"
factors of 12= 1,2,3,4,6,12
factors of 30=1,2,3,5,6,10,15,30
factors of 48= 1,2,3,4,6,8,12,16,24
6 is the highest overlapping factor so its is the "hcf".
marble middle school paid $500 for 16 graphing calculator
Answers
Answer:
31.25 I believe
Answer:
$31.25 per graphing calculator
Step-by-step explanation:
The question isn't there so I'm going to guess that it is asking for what is the cost of one calculator
$500/16=
$31.25 per graphing calculator