Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
progably B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
The sum of two numbers is 58 and the difference is 8. What are the numbers?
Larger Number:
Smaller Number:
This one might not look familiar yet, but it's very similar to the distance problems you've already seen.
My car gets 22 miles per gallon. How far can my car travel on 8 gallons of gas?
Question 5 options:
0.36 miles
2.75 miles
30 miles
176 miles
Answer:
176.
Step-by-step explanation:
is this gear reduction direct drive or overdrive
Answer:
overdrive
Step-by-step explanation:
i have nun but thuis it
Answer:
overdrive
Step-by-step explanation:
gear reduction. refers to the 5th and 6th gear
The science club went on a two-day field trip. The first day the members paid $62 for transportation plus $15 per ticket to the planetarium. The second day they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the total cost for two days for the n members of the club.
Answer:
(62 + 15n) + (95 + 12n)
Get that hundo!
Solve the inequality 6x 5
x 3
x<5
Answer:
375
Step-by-step explanation:
what is the percent of change from 800 to 40?
Answer:
95%
Step-by-step explanation:
%Change from 800 to 40 = %Decrease
%Decrease = Old Value - New Value/Old Value × 100%
%Decrease = 800-40/800 × 100%
%Decrease = 760/800 × 100%
% Decrease = 95%(Answer)
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!,
Order the numbers from least to greatest 3/7, 5/9, 43%
Answer:
The answer is 3/7, 43%, 5/9
Answer:
3/7.43%, 5/9
Step-by-step explanation:
3/7, 43/100,5/9
3/7, .43, 59
3. Last year 858 people attended the Middleton County Fair. This year 1,635 people attended. What was the percent increase from last year to this year? (Round to the nearest percent)
A.90%
B.91%
C.47%
D.48%
Answer: 47?
Step-by-step explanation:
I need help please I have to finish this
Answer:
x = 80 degrees
y = 25 degrees
Step-by-step explanation:
First find angle BCA.
We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.
Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.
50+50+ x = 180 degrees
x= 180 - 100 = 80 degrees
Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.
So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.
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Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 1% of the dollar amount of sales that she makes. Write an equation for P, in terms of x, representing Harper’s total pay on a day which she sells x dollars worth of computers
Answer:
100x-p*1%
Step-by-step explanation:
Quick I need help plz
Answer:
It's answer is 1/3 .
Hope it helps have a great time :)
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.
[tex]\frac{3}{10}[/tex]Since there's no common factor, there's no cancellation needed. So, the answer is [tex]\frac{3}{10}[/tex].
Let' check.
If you divide 3 by 10, you will get the answer 0.3.
3 ÷ 10 = 0.3 (It's correct)You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.
Example: [tex]\frac{3}{10}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{6}{20}[/tex]
You may also use the fraction [tex]\frac{6}{20}[/tex] for your answer as this is also equivalent to 0.3.
2x-20 solve for x in an equilateral triangle
Answer:
x=40
Step-by-step explanation:
triangle = 180 degrees
Equilateral so 3(2x-20) = 180
6x-60=180
6x=240
x=40
Hope this helps!
Please hit the crown!
Merry Christmas!x
What is the length of x?
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex]a ^{2} + b^{2} = {c}^{2} [/tex]
[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]
Therefore x = 4
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Find the 12th term of the geometric sequence 4,8,16?
Step-by-step explanation:
From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.
The solution is attached below. The answer is 8192
The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is given by
A = 4 , 8 , 16 , ..
Now , the geometric progression is given by the formula
aₙ = arⁿ⁻¹
where aₙ is the nth term of the sequence
a is the first term
r is the common ratio
n is the number of terms
Now , the common ratio r can be found out by
Common ratio r = second term / first term
Substituting the values in the equation , we get
Common ratio r = 8 / 4
Common ratio r = 2
Now , substituting the value in the equation , we get
The 12th term of the geometric progression is
a₁₂ = arⁿ⁻¹
The value of a₁₂ = 4 ( 2 ) ¹²⁻¹
The value of a₁₂ = 4 ( 2 )¹¹
The value of a₁₂ = 4 x 2048
The value of a₁₂ = 8192
Therefore , the value of a₁₂ is 8192
Hence , The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
To learn more about geometric progression click :
https://brainly.com/question/1522572
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What is the missing length??
Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:
[tex](15 + x) : (12 + 8) = x : 8[/tex]
[tex]15 + x : 20= x : 8[/tex]
Convert to fraction
[tex]\frac{15 + x}{20} = \frac{x}{8}[/tex]
Cross Multiply:
[tex](15 + x)*8 = 20 * x[/tex]
[tex]120 + 8x = 20x[/tex]
Collect Like Terms
[tex]20x - 8x = 120[/tex]
[tex]12x = 120[/tex]
Solve for x
[tex]x = \frac{120}{10}[/tex]
[tex]x = 10[/tex]
The length of the missing side is 10
Macy wants to sell her old Playstation 4 games on decluttr.com. The wtbsite charges sellers a comission of 20%
for items sold on their website. If Macy sells a Playstation 4 game on the website for $35.00. How much willshe
actually receive?
Answer:
$28
Step-by-step explanation:
The website charges 20%, so Macy receives 80%.
Then:
80% x 35=.8 x 35=28 ....................
Help please!! I’ll give brainliest
Answer:
[tex]\boxed{f(n) = 4n + 16 }[/tex]
.
Step-by-step explanation:
We know that it is arithmatic squence
with a = 20 and b = 4
.
So
[tex]Un = a + (n - 1)b[/tex]
[tex]Un = 20 + (n - 1)4[/tex]
[tex]Un = 20 + 4n - 4[/tex]
[tex]Un = 4n + 16[/tex]
.
Happy to help :)
Will give brainliest if correct!
If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?
Answer:
w = 4028
Step-by-step explanation:
Solve for y
[tex]y+1 = 2015[/tex]
[tex]y=2014[/tex]
Substitute 2014 for y then solve for w
[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]
[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]
[tex]w=4028[/tex]
Therefore, w must be 4028
Need help on 3 please help thank you so much I appreciate
Answer: Interesting question bro
Step-by-step explanation:
An 8 ounce tube of toothpaste costs $1.69. What is the Unit Price per ounce?
Answer:
$0.21 per ounce (rounded to nearest cent)
Step-by-step explanation:
8 ounces --- $1.69
1 ounce --- [tex]\frac{1}{8}[/tex] × $1.69 = $0.21 (rounded to nearest cent)
Question:
What is the Unit Price per ounce?
Answer:
If 8 ounces cost $1.69, then 1 ounce costs $1.69/8 = $0.21125, which is 21.125 cents, which rounds to 21.1 cents (because 2 is less than 5)
Which expression is equivalent to 24 - (-6)?
Choose 1 answer:
--6-24
B
24 + (-6)
24 + 6
6 - 24
A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters. Compute the p-value for testing whether the population mean is larger than 6 centimeters.
Answer:
0.0239
Step-by-step explanation:
[tex]H_0;\mu=\sigma[/tex]
[tex]H_a;\mu>6[/tex]
[tex]\bar{x}=6.08[/tex] = Mean
[tex]s=0.44[/tex] = Standard deviation
[tex]n=121[/tex] = Sample size
Test statistic is given by
[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]
From T table we know it is a right tailed test.
Degree of freedom = [tex]n-1=121-1=120[/tex]
[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]
Hence, p-value is 0.0239.
What is the ratio of frosted cookies to non-frosted cookies?
Answer:
27:9
Step-by-step explanation:
PLEASE HELP MY BRAIN IS SQUASHED!!!!
Answer:
That’s sad. Option c
Step-by-step explanation:
please help me with this question
look at the picture
Answer:
c
Step-by-step explanation:
bacteria is produced in a lab. the number of bacteria, as a function of time, is modeled by y=3(2)x
Answer:
The function is nonlinear .
Step-by-step explanation:
This is a non linear function.
Is (-4,2) a solution of 4x+5y<-7
Answer:
(-4,2) is NOT a solution
Step-by-step explanation:
In this question, we have to see if the coordinate is a solution to the inequality.
To do this, plug in and solve:
4(-4) + 5(2) < -7
-16 + 5(2) < -7
-16 + 10 < -7
-6 < -7
Since -6 is not less than -7, this would be false.
Therefore, (-4,2) is NOT a solution.
coordinates are (-4,2)
equation :
[tex]4x + 5y < - 7[/tex]
substituting values of x and y in equation :
[tex]4( - 4) + 5(2)[/tex]
[tex] = - 16 + 10 \\ = - 6 > - 7[/tex]
which is not the required solution as - 6 is greater than -7
therefore (-4,2) is not the solution
