Answer:
Step-by-step explanation:
36/16=90/r(since they are similar use this ratio)
do cross multiplication
16*90=36*r
1440=36r
1440/36=r
40=r
Answer:
[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]
Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)
Answers:
x = 8
y = 15*sqrt(2)
===========================================================
Explanation:
This is a 45-45-90 triangle. The right triangle is isosceles.
This means the two legs 3x-9 and x+7 are the same length
3x-9 = x+7
3x-x = 7+9
2x = 16
x = 16/2
x = 8
If x = 8, then each leg is...
3x-9 = 3(8)-9 = 24-9 = 15
x+7 = 8+7 = 15
Each leg is 15 units long to help confirm we have the correct x value.
---------------
The hypotenuse y is exactly sqrt(2) times that of the leg length.
Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.
15*sqrt(2) = 21.213 approximately
A random number from 1 to 5 is selected
50 times. The number 1 is selected 13 times,
2 is selected 8 times, 3 is selected 14 times, 4
is selected 6 times, and 5 is selected 9 times.
What is the relative frequency of selecting a 2?
3?
Answer:
Relative frequency of selecting a 2 = 8/50 = 0.16
Relative frequency of selecting a 3 = 14/50 = 0.28
Step-by-step explanation:
When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.
Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.
Out of these 50 times, the outcome "2" appears 8 times.
Then the relative frequency of selecting the number 2 is:
f(2) = 8/50 = 0.16
And of these 50 experiments, the outcome "3" appears 14 times.
Then the relative frequency of selecting the number 3 is:
f(3) = 14/50 = 0.28
square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)
Answer:
you have to tell us the question honey
How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution
Answer:
The correct answer is "4.5 liters". A further explanation is provided below.
Step-by-step explanation:
Let the solution needed be "x".
then, according to the question,
⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]
By solving the above expression, we get
⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]
⇒ [tex]0.04 x=0.54-0.36[/tex]
⇒ [tex]0.04x=0.18[/tex]
⇒ [tex]x=\frac{0.18}{0.04}[/tex]
⇒ [tex]=4.5 \ liters[/tex]
The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?
-3x+6>12
need help with this one number line
Answer:
x <-2
Step-by-step explanation:
-3x+6>12
Subtract 6 from each side
-3x+6-6>12-6
-3x> 6
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 6/-3
x <-2
solve M2 + 6m = -8 using quadratic formula??
Answer:
m=-4,-2
Step-by-step explanation:
Hi there!
What we need to know:
The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] where the equation is given in standard formStandard form quadratic equation: [tex]y=ax^2+bx+c[/tex] (with y=0)1) Rearrange the given equation into standard form
This will help us determine the a, b and c values.
[tex]m^2+6m=-8[/tex]
Add 8 to both sides
[tex]m^2+6m+8=0[/tex]
Now, we can see that a=1, b=6 and c=8.
2) Plug a, b and c into the quadratic formula
[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]
I hope this helps!
AABC is a right triangle. AB=____
Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
Answer:
8.06
Step-by-step explanation:
Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.
First you need to square a and b, like in the formula:
[tex]4^{2}[/tex] = 16
[tex]7^{2}[/tex] = 49
Now you add these together to find [tex]c^{2}[/tex]:
16 + 49 = 65
So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:
[tex]\sqrt{65}[/tex] = 8.0622577...
So its approximately 8, and more accurately 8.06
what is 60 written as a product of a factor greater than 1?
Answer:
I think the answer to your question is 12?
Step-by-step explanation:
I hope this helps, have a nice day
Can someone help me out, I will give out brainly.
Answer:
370
Step-by-step explanation:
Area of the entire thing is 20*20 = 400
You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)
Area of triangle:
First find the height using pythagorean theorem
5*12 = 156
Then divide by two: 60/2= 30
400-30 = 370
Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?
Answer:
$11.50
Step-by-step explanation:
Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50
Therefore, the remaining balance on the card is $11.50
Please mark my answer as brainliest, it will help a lot.
please simplify
4(57ab)⁰
no links, answer quickly,please
Answer:
4
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Then
4[tex](57ab)^{0}[/tex] = 1 and
4[tex](57ab)^{0}[/tex] = 4 × 1 = 4
Answer:
4
Step-by-step explanation:
since 57ab has power 0 it is equal to 1
1×4 is 4
Find the surface area of
the prism.
12 in.
7 in.
4 in.
The surface area is
in. 2.
Which of these decimals represents the shaded area of the grid? A) .8 x .6 = .48 B) .8 x .6 = 4.8 C) .8 x .6 = .084 D) .8 x .6 = .84
Answer:
A) .8 x.6 = .48
Step-by-step explanation:
B, C, and D are all answered incorrect
the ratio of colored papers to white papers is 3/8 if there are 48 white papers, how many coloured papers are there
The number of coloured papers as per the given problem is 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The ratio of coloured papers to white papers is 3/8.
And, the number of white papers is 48.
Suppose, the number of coloured papers be x.
Then, as per the question the following equation can be obtained,
3/8 = x/48
=> x = 3/8 × 48
=> x = 18
Hence, the number of coloured papers is 18.
To know more about ratio and proportion click on,
brainly.com/question/14279414
#SPJ1
Find the area of the triangle
Answer:
12 units2
Step-by-step explanation:
(6x4) /2 =12
Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
Learn more about continuous compounding interest here:
https://brainly.com/question/28004698
https://brainly.com/question/27355680
what is the volume of the square pyramid
Answer:
3710.67 mm
Step-by-step explanation:
The formula is a^2 h/3
a = 22 h = 23
First, do 22 squared which is 484.
Now do 23 divided by 3 which is 7.666666667
Now multiply 484 and 7.666666667 together to get
3710.666667 or 3710.67 mm
Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
6g = 48
g=?
What does g=?
Answer:
8
Step-by-step explanation:
6g = 48
/6 /6
divide 6 by both sides
g = 8
hope this helped!
Someone help me with this one
Answer:
Subtract 1/3 from 2/3 dont forget to add the variable h!
1/3h + 11 = 8
-11 -11
1/3h = -3
Now we multiply by 3 on both sides
H = -9
This is kind of far fetched but does anyone have an idea of how to find elevation using cos tan and sin ?
Answer:
Step-by-step explanation:
Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?
A spinner is divided into 10 equal parts and numbered 1-10. Four of the parts are colored blue, four parts are colored red, and two parts are colored green.
What is the probability of spinning a 6? Write your answer as a decimal.
theres a slight chance of spinning a 6 0.06
Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.
The exact value of cot A will be 0.857.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.
Then the value of angle A will be
csc A = √85 / 6
1 / cos A = √85 / 6
cos A = 6 / √85
A = 49.4°
Then the exact value of cot A will be
cot A = cot 49.4°
cot A = 0.857
The exact value of cot A will be 0.857.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
What is the k’s meaning in k over 5 = 5
Answer:
25
Step-by-step explanation
5 times 5 is 25
(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)
Help, please!! I don’t have much time
Answer:
I might be wrong, but if I did this right it would be D.
Step-by-step explanation:
I'm sincerely sorry if I got this wrong.
Answer:
B. 3.72 x [tex]10^{7}[/tex]
Step-by-step explanation:
The distance between the sun and Mercury is approximately 36,000,000 miles.
Move the decimal point 7 positions to the left so that there is only one digit to the left of it.
Multiply that number by 10 raised to the power of 7
7 is the number of positions that the decimal point was moved.
I do not know this subject too well but hopefully this helps.
I need help time is running!!
Answer: 1/3piex^2
3rd one down
Step-by-step explanation:
I’m not positive sorry if I’m wrong
The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x - 18^\circ}∠A=6x−18
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{14x +38^\circ}∠B=14x+38
∘
The answer is 30 :)
Answer:
∠A = 30
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
3-1/3n< 6;n>-9 What is n???
Answer:
i don't understand your question, but i'll try to the best of my ability.
the answer to that is:
-8.33333333333
Step-by-step explanation:
let me break this down into a way you might understand.
1: 3-1=2
2: 2 divided by 3=0.66666666666.
3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.
if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.
you're welcome though, (i suppose..) and have a great day.
Product of two integers is -6 and There sum is 1
Answer:
3 and -2
Step-by-step explanation:
xy = -6
x + y = 1
let 'x' = y-1
y(y-1) = -6
y² - y + 6 = 0
(y-3)(y+2) = 0
y = 3 and -2