Answer: 3/4
Step-by-step explanation:
To take this ratio to its simplest form, we have to divide by a value divisible by the numerator and denominator.
3 is a divisible value, therefore,
9/12 = 9 ÷ 3 = 3
12 ÷ 3 = 4
Thus, 9/12 = 3/4
I hope this helps.
A triangle has side lengths of 11 inches, 15 inches, and 20 inches. Find the angle measures of the triangle. Round decimal answers to the nearest tenth.
Answer:
I don't know but I have the equations. (also Im going to assume you know a bit of trig)
Step-by-step explanation:
You have to use law of cosines.
a=11
b=15
take these equations and plug in the variables
a^2=b^2+c^2-2bc cos(a)
b^2=a^2+c^2-2ac cos (b)
c^2=a^2+b^2-2ab cos(c)
you will get something along the lines of
something=cos a
something=cos b
something=cos c
then in a calculator you push inverse cos or cos-1(x) and input the "something" into as x and that answer should be one angle, and repeat it for the rest of the three values.
PLEASE HELP ME WITH THIS ASAP
Answer:
1900 ft
Step-by-step explanation:
To find the area where roses will be planted, find the area of the 2 triangles. 60×38 divided by 2 = 1140ft. 40×38 divided by 2 = 760. 760+1140=1900
Which is the most accurate way to estimate 52% of 71?
To estimate 52% of 71, you can use either the proportion method or the multiplication method by setting up a proportion or multiplying 0.52 by 71.
Explanation:To estimate 52% of 71, you can use either proportion or multiplication. Here's how:
Proportion method: Set up the proportion 52/100 = x/71, where x represents the unknown value. Cross-multiply and solve for x. Multiplication method: Multiply 52% (or 0.52) by 71.Using the proportion method:
52/100 = x/71
71 * 52 = 100 * x
x = 36.92 (rounded to 37)
Using the multiplication method:
0.52 * 71 = 36.92 (rounded to 37)
What is the result when the number 22 is decreased by 9.1%?
Answer:
19.998
Step-by-step explanation:
Take the number and decrease (subtract) by 9.1% of the original number
22 - 22*9.1%
Change the percent to decimal form
22 - 22*.091
22 -2.002
19.998
Final answer:
The result when the number 22 is decreased by 9.1% is 20.0, after calculating 9.1% of 22, which is 2.002, and subtracting it from 22 and rounding to the nearest tenths place.
Explanation:
To find the result when the number 22 is decreased by 9.1%, you can use the following steps:
Calculate the decrease amount by finding 9.1% of 22: (9.1/100) × 22.
Subtract the decrease amount from the original number: 22 - (9.1% of 22).
Using a calculator, the decrease amount is:
(0.091) × 22 = 2.002.
Then subtract this from the original number:
22 - 2.002 = 19.998.
However, we need to report our final answer to the nearest tenths place since that is the precision of the number 9.1%. Therefore, we round 19.998 to 20.0 to reflect the proper significant figures.
So, the result when the number 22 is decreased by 9.1% is 20.0.
a car rental company charges $75.00 rental fee plus $30.00 per day. Selena paid $225.00 to rent car
Answer:
5 days
Step-by-step explanation:
First subtract the flat fee so that you know you just have the price of the days
225-75
150 Then divide by 30, the day rate so you know how many days it was
150/30= 5
Selena had the car for 5 days
Ty puts 9 Sports cards each on the front and back of each page in his cars album. How many pages are in Ty’s album if he has 144 cards?
SHOW WORK
grusi lob ze cruz?masi pa koi foitaitua leo leone fatua fatui?
-6(1-3n) - 4n = -34 + 7n
The answer is n= -4. It shows the work to get -4
Alex is making puppets for a show. He bought all the string needed for $125.It costs $18 for the remaining materials to make each puppet. What is the total cost to make 50 puppets
Answer:
900
Step-by-step explanation:
ANSWER: y
=
125
+
900
50
=
$
20.5
Step-by-step explanation: Cost of each puppet =
$
20.5
Explanation:
The number of puppets :
50
-------(given)
Let cost of each puppet be
y
So, total cost will be
50
y
He brought all string needed for
$
125
He needs to invest
$
18
for EACH puppet for the remaining material, i.e.
18
×
50
=
$
900
is the total extra investment to be done.
So total cost will be :
125
+
900
=
50
y
#therefore cost of each puppet will be :
In triangle ABC, a = 12, _ B= 25°, and
C= 45°. Find b.
The value of b is 5.4
Explanation:
Given that ABC is a triangle.
It is also given that [tex]a=12[/tex] , [tex]\angle B=25^{\circ}[/tex] and [tex]\angle C=45^{\circ[/tex]
We need to find the value of b.
The value of b can be determined using the law of sine formula, which is given by
[tex]\frac{a}{sin A} =\frac{b}{sin B} =\frac{c}{sin C}[/tex]
First, we shall find the angle of A.
Since, ABC is a triangle and all the angles in a triangle add up to 180°
Thus, we have,
[tex]\angle A+\angle B+\angle C=180[/tex]
[tex]\angle A+25+45=180[/tex]
[tex]\angle A+70=180[/tex]
[tex]\angle A=110^{\circ}[/tex]
Thus, the value of angle A is 110°
Let us substitute these values in the law of sine formula.
Hence, we get,
[tex]\frac{12}{sin \ 110^{\circ}} =\frac{b}{sin \ 25^{\circ}}[/tex]
Simplifying, we get,
[tex]\frac{12}{0.9397} =\frac{b}{0.423}[/tex]
Multiplying both sides of the equation by 0.423, we get,
[tex]\frac{12\times 0.423}{0.9397} =b[/tex]
Simplifying, we get,
[tex]\frac{0.5076}{0.9397} =b[/tex]
Dividing, we have,
[tex]5.4=b[/tex]
Thus, the value of b is 5.4
Is a temperature of -11 degrees warmer or colder than a temperature of -15 degrees? *
Answer:
warmer
Step-by-step explanation:
-11 is closer to zero the -15
Answer:
warmer
Step-by-step explanation:
-15 is colder.
Solve: 4/3 x −4 = 5 + x A) 0.5 B) 2 C) 18 D) 27
Answer:
D) 27
Step-by-step explanation:
1. add 4 on both sides to leave 4/3x by itself
2. subtract x on both sides to cancel x on the right side
3. multiply 3 ton both sides to cancel out fraction
Answer:
d(27)
Step-by-step explanation:
Craig has the following data: 14,14,16,b,1 If the range is 25, what is the value of b?
Final answer:
The student needs to find the missing number 'b' in a data set, given that the range is 25. Since we know the smallest value is 1, adding the range to that value gives us the largest possible number, which in this case is 26. Therefore, 'b' must be 26 to achieve the specified range.
Explanation:
The student is asking about finding a missing value in a set of numbers given the range of the data set. To find the value of b, we must remember the definition of range: Range is the difference between the largest and smallest values in a set.
With the knowledge that the range is 25, and having the numbers 14, 14, 16, and 1, we identify 1 as the smallest value.
If we add the range to the smallest number (1 + 25), we get the largest number the set could contain, which is 26.
Since the other numbers in the set are all smaller than 26, b must equal 26 for the range to be 25.
In a study of crime, the FBI found that 13.2% of all Americans had been victims of crime during a 1-year period. This result was based on a sample of 1,105. Estimate the LOWER LIMIT of the confidence interval of the percentage of victims at the 99% confidence level.
Please round to the nearest whole number.
Answer:
11%
Step-by-step explanation:
The margin of error is the standard error times the critical value.
For a proportion, the standard error is:
σ = √(pq / n)
σ = √(0.132 × 0.868 / 1105)
σ = 0.0102
Since n is large, we can approximate the critical value using a normal distribution. For 99% confidence, the critical value is 2.576.
The margin of error is:
ME = 0.0102 × 2.576
ME = 0.026
The confidence interval is 0.132 ± 0.026. So the lower limit is 0.106, or 10.6%. Rounded to the nearest whole number, that's 11%.
Which is the length of the arc MPN expressed in terms of pie?
The arc MPN is a major arc, and the length of arc MPN is 79/9π
How to determine the arc length?The given parameters are:
Ф = 360 - 44
Radius, r = 5
The arc length is then calculated using:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
[tex]L = \frac{360 - 44}{360} * 2\pi * 5[/tex]
[tex]L = \frac{316}{360} * 2\pi * 5[/tex]
Evaluate the product
[tex]L = \frac{3160}{360} \pi[/tex]
Divide
[tex]L = \frac{79}9 \pi[/tex]
Hence, the length of arc MPN is 79/9π
Read more about arc lengths at:
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Determine the center and radius of the following circle equation:
22 + y2 + 8x – 12y + 3 = 0
Please help :)
Answer:
center(8x,12y) radius 3
Step-by-step explanation:
If i am doing this correct
Two fire trucks on the ground on either side of a burning building are 1.3 miles apart. They each measure the angle of elevation to the fire, which are 58 degrees and 52 degrees. How far is each truck from the fire. Step by step explanation.. Please..Thanks..
Answer:
A-0.5777miles
B-0.7223miles
Step-by-step explanation:
Let A be truck with 58°, B be truck with 52° elevation and C be the position of the fire. We know that the AB is 1.3 miles apart.
-Using sine rule, we find the length of AB and BC as:
[tex]\angle C=180-(58+52)=70\textdegree\\\\\frac{a}{sin \ A}=\frac{b}{sin \ B}=\frac{c}{sin \ C}\\\\\frac{1.3}{sin \ 70}=\frac{b}{sin \ 52}\\\\b=\frac{1.3 sin \ 52}{sin 70}=1.0902mi\\\\\\c=\frac{1.3 sin \ 58}{sin 70}=1.1732[/tex]
#Bisect angle C, and use sine rule again to find the lengths of bisected AB:
[tex]\frac{a}{sin \ A}=\frac{b}{sin \ B}=\frac{c}{sin \ C}\\\\\frac{1.0902}{sin \ 90}=\frac{x}{sin \ (90-58)}\\\\x=\frac{1.0902\ sin \ 32}{sin \ 90}=0.5777mi[/tex]
Truck B's position is calculated as 1.3mi-0.5777miles=0.7223miles
Hence, truck one is 0.5777miles and truck two is 0.7223 miles from the fire.
Can you help me plss!
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying [tex]\frac{1}{3}[/tex] with π, the square of the radius ([tex]r^{2}[/tex]) and the height ([tex]h[/tex]).
So the volume of the cone, [tex]V=\pi r^{2} \frac{h}{3}[/tex].
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying [tex]\frac{1}{3}[/tex] we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder ([tex]r^{2}[/tex]) and the height of the cylinder ([tex]h[/tex]).
So the the cone's volume, [tex]V = \pi r^{2} h[/tex].
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume = [tex]\pi r^{2} \frac{h}{3}: \pi r^{2} h[/tex] = [tex]\frac{1}{3} : 1[/tex].
So if we multiply the cone's volume with [tex]\frac{1}{3}[/tex] we will get the cylinder's volume with the same dimensions.
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference = 150 m
What is the measure of its radius?
Answer:
[tex]2\pi \times \: r = 150 \\ 6.2831r = 150 \\ \frac{6.2831r}{6.2831} = \frac{150}{6.2831} \\ r = 23.87cm[/tex]
Answer:
23.9
Step-by-step explanation:
circumference = Diameter · Pie
150 = X · pie
divide both sides by pie(use the accrual symbol on a calc) and you get 47.7 as the diameter then divide 47.7 by 2 and you get 23.9 as you radius
a rectangle is 68 inches by 42 inches. Find the angles that a diagonal makes with each side of the rectangle.
Answer:
90⁰
Step-by-step explanation:
The diagonal of the rectangles forms two angles with the sides, about 32 degrees and 58 degrees respectively. These are found using the Pythagorean theorem to find the length of the diagonal, and then the arctan function to find the angles.
Explanation:To find the angle that the diagonal makes with the sides of the rectangle, first calculate the length of the diagonal which can be found using the Pythagorean Theorem. In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. We can write this as: c² = a² + b². In this case, the length and width of the rectangle are the two sides (a and b) and the diagonal is the hypotenuse (c).
So a = 68 inches, b = 42 inches. Plugging these into our formula gives: c² = 68² + 42², so c = √[(68²) + (42²)] which approximates to 80 inches.
Next, calculate the angles using the inverse tangent (or arctan) function: θ = arctan(opposite/adjacent). In this case, the angles are = arctan(42/68) and arctan(68/42). This gives us angles of approximately 32 degrees and 58 degrees.
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Neil has 3 partially full cans of white paint . They contain 1/3 gallon , 1/5 gallon and 1/2 gallon of paint. About how many paint does Neil have in all
Answer:
31/30 gallons
Step-by-step explanation:
finding the lowest common denominator for all three numbers. so 1/3 becomes 10/30, 1/5 becomes 6/30, and 1/2 becomes 15/30. 10/30+6/30+15/30=31/30
Answer:31/30
Step-by-step explanation:
you have to first find a common denominator. Which in this case is 30 so then you have to multiply by the same number for both bottom and top number of the fraction. 1/3 = 10/30 1/5=6/30 1/2=15/30. Then, you just have to add JUST THE TOP NUMBERS. You get 31/30 then divide that and i will leave that last part to you. Hope this helps!
what is equivalent to 3/12 and 1/6
Answer:
1/4 and 2/12
Step-by-step explanation:
If you mulitply both the numerater and denominator by 2 (or any number) it will be equivelent.
1/6 is equivelient to 2/12, 3/18, etc.
However, if you divide 3/12, you get 0.25, which is equivelent to 1/4
At a pet store, the ratio of female birds to male birds was 7:4. Write a sentence explaining what this means.
How do I use successive approximations ?
Answer:
assume an approximate value for the variable that will simplify the equation.
solve for the variable.
use the answer as the second approximate value and solve the equation again.
repeat this process until a constant value for the variable is obtained.
You want to buy 2 blue baseball caps which has a price tag of $30.50 each from Clovis's hat store, Of sales tax is 8.6 percent, how much will you pay for the two blue baseball caps?
Answer:
66.25
Step-by-step explanation:
30.50 times 2 is 61 that’s for two caps
61 times 1.086 (1 is for the amount you are actually going to pay .086 is what percent is because you have to move the decimal over two when you are changing percent to decimal) and that comes out to 66.246. you round the 4 to 5 to get to nearest cent and comes out to be 66.25
Answer: $66.25
Step-by-step explanation:
Two baseball cap at $30.5 each is $30.5 ×2 = $61
Sales tax at 8.6% = 8.6/ 100= 0.086
Sales tax = 0.086 × 61
= 5.246
Total amount to be paid = $66. 25
each day alyssa jogs for 25 minutes on a treadmill she jogs 135 meters a minute at the speed at which alyssa is jogging how many centimeters does she jog each second
Answer: she is jogging 2.25 i think
Step-by-step explanation:
im sorry im not sure i just divided 135 by 60 but i dont think its right:(
Noah wants to clean his second story windows and plans to buy a ladder that will reach at least
22
feet high. If he leans the ladder against the house so that the base of the ladder makes a
51.5
∘
angle with the ground, how long of a ladder should he buy? Please round to one decimal place
Answer:
Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.
Step-by-step explanation:
Given:
Noah has to reach at least 22 ft height.
Angle made by the base of ladder with the ground = 51.5°
To find the length of the ladder.
Solution:
On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.
In triangle ABC.
∠C = 51.5°
AB = 22 ft
Applying trigonometric ratio to find AC (length of the ladder).
[tex]\sin\theta = \frac{Opposite\ side}{Hypotenuse}[/tex]
[tex]\sin C=\frac{AB}{AC}[/tex]
Plugging in values.
[tex]\sin 51.5\°=\frac{22}{AC}[/tex]
Multiplying AC both sides.
[tex]AC\sin 51.5\°=\frac{22}{AC}\times AC[/tex]
[tex]AC\sin 51.5\°=22[/tex]
Dividing both sides by [tex]\sin 51.5\°[/tex]
[tex]\frac{AC\sin 51.5\°}{\sin 51.5\°}=\frac{22}{\sin 51.5\°}[/tex]
[tex]AC=\frac{22}{\sin 51.5\°}[/tex]
[tex]AC=28.1\ ft[/tex]
Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.
The area of a rectangle is 33 m-, and the length of the rectangle is 5 m less than twice the width. Find the dimensions of the rectangle.
Answer:
x = 9.25
y = 13.5
Step-by-step explanation:
area = 33
let length be y and width be x
2x - 5 = y
area of rectangle = length * breadth
(2x-5)(x)=33
2x²-5x=33
2x²-5x-33=0
solving quadratic equation
x = 9.25
y = 13.5
Rewrite the following in the form log(c).
log(4)+log(5)
Yo sup??
by the property of log we can say that
laga+logb=logab
log4+log5=log4*5
=log20
Hope this helps
If you flip a coin and roll a
6-sided die, what is the probability that you will flip a heads and roll an even number?
Answer:
the answer is 1/4
Step-by-step explanation:
1/2 *3/6=1/4
What is the quotient? 2 and one-fifth divided by negative StartFraction 1 over 10 EndFraction –22 Negative StartFraction 11 over 50 EndFraction StartFraction 11 over 50 EndFraction 22
Answer: i think the answer is -22 which is A
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
I put it in decimal form so it would be like this.2.20 dived by -.10 and got -22