Answer:
2√7
Step-by-step explanation:
Mathematically, the equation of a circle can be represented by;
(x-h)^2 + (y-k)^2 = r^2
where (h,k) = center and r = radius
Applying this to the question, we can see that the length of the radius of the circle is √7
The diameter is always twice the radius
Thus, the diameter KL = 2 * √7 = 2√7
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
The thickness of a protective coating applied to a conductor designed to work in corrosive conditions follows a uniform distribution over the interval [20;40] microns. Find the probability that the coating is between 24 and 38.
Answer:
[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]
And replacing we got:
[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]
Step-by-step explanation:
We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:
[tex] X \sim Unif (a = 20, b=40)[/tex]
And we want to find this probability:
[tex] P(24< X<38) [/tex]
And in order to find this probability we can use the cumulative distribution function given by:
[tex] F(x) = \frac{x-a}{b-a} , a\leq X \leq b[/tex]
And if we use this formula for the probability desired we have:
[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]
And replacing we got:
[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]
1.The two angles 21 degrees and (2x+29)degrees are SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
And 2.The two angles (x-36)degrees and 73 degrees SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
PLZZ ANSWER RIGHT AWAY. I'M GIVING 15 POINTS PLZZ HURRY.
Answer:
See below in bold.
Step-by-step explanation:
1. 21 + 2x + 29 = 180 (as supplementary angles sum to 180 degrees).
2x + 50 = 180
2x = 130
x = 65 degrees.
2. x - 36 + 73 = 180
x = 180 + 36 - 73
x = 143 degrees.
Find the greatest common factor.
бах2 + бах + ба
Answer:
6a
Step-by-step explanation:
The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.
In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:
6a
By taking 6a, you get:
6a([tex]x^2[/tex] + x + 1)
What is the measure of angle DEF?
E
28°
47°
D
F
[Not drawn to scale]
75°
b
90°
с
25°
Od
105°
Answer:
D 105
Step-by-step explanation:
all the angles in a triangle add up to 180 degrees.
So just take 180 and subtract the 2 given angles.
Answer:
105 degree dear.......
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
Volume of the rectangular prism = [tex]480in.^{3}[/tex]
Step-by-step explanation:
Formula for the volume of a rectangular prism= Ah, where A= base area
& h= height
Base area(A)= Length×Width
= 12in.×8in.
= [tex]96in.^{2}[/tex]
Since height=5in.,
Volume= [tex]96in.^{2}[/tex]×5in.
= [tex]480in.^{3}[/tex]
Hope this helps!!!
Pls mark as brainliest
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.35 and 4 pounds of cherries. Tim buys a pineapple for $4.25 and 3 pounds of cherries Use the variable P to represent the price in dollars per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
Answer:
7.65 + 5p - (2.45 - 4p) =
7.65 + 5p - 2.45 + 4p =
5.20 + 9p <==
Step-by-step explanation:
hope dis helps mark me as brainliest pls!!!!!
Solve for V in V = s 3, if s = 4. V = a0
Answer:
64\ units^{3}
Step-by-step explanation:
we have
V=s^{3}
This is the formula to calculate the volume of a cube
where
s is the length side of the cube
In this problem we have
s=4\ units
substitute
V=4^{3}=64\ units^{3}
Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.
Answer:
The value of radius is 7.5 units
Step-by-step explanation:
Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
Let a = 12 units,
Let b = 9 units,
Let c = hypo.,
[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {hypo.}^{2} = 225[/tex]
[tex]hypo. = \sqrt{225} [/tex]
[tex]hypo. = 15 \: \: units[/tex]
We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 15 \div 2[/tex]
[tex]radius = 7.5 \: \: units[/tex]
Answer: 7.5
Step-by-step explanation: Khan academy
If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:
Answer:
The correct option is;
[tex]\frac{1}{\pi }[/tex]
Step-by-step explanation:
Here we have that
[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]
Therefore, the probability that the needle will cut the line = 1/π.
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark's investment double before age 52? What will his investment be worth? What would Mark's investment be if he had invested at age 28?
Answer:
A.3times
B.$1214.68
Step-by-step Explanation
A
Using compound interest formula
A=P(1+I)^n
A is the amount
P is the principal=$300
I is the interest=0.06
n is the time ( between 52 and 16years)=36years
A=300(1+0.06)^36
A=$2444.175
Which means 300 would have become
$2444.175 which is 8 folds.
That means it would have doubled 3times(2×2×2) at age of 52.
B. The time would change to (52-28)=24
Using compound interest formula
A=300(1+0.06)^24
A=$1214.68
Therefore his investment would have been $1214.68.
The triangles are similar.
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
We can use ratios to solve
12 x
--------- = ----------
3 4
Using cross products
12*4 = 3x
Divide each side by 3
48/3 = 3x/3
16 =x
A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are surveyed altogether what percent of them preferred Lirt juice
Answer:
The percentage of the surveyed that preferred Lirt juice is 40%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of beings that preferred Lirt juice
Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25
The percentage that preferred Lirt juice will thus be;
10/25 * 100%
= 10 * 4 = 40%
please help
If p(x) = 2x^3 - X, find p(a - 1)
I hope this helps you
There are ten dogs at the dog park on a busy Saturday. Two of them are Corgis. What is the probability that a randomly selected dog is a Corgi? Type your answer as a fraction in simplest form.
Answer: 1/5
Step-by-step explanation:
From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:
Probability (Corgi) = Number of Corgis/total number of dogs.
Probability (Corgi) = 2/10
= 1/5
Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.
Answer:
14/50 or 28%
Step-by-step explanation:
THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.
EZPZ
This is the next one!!
Answer:
5
Step-by-step explanation:
1 ,3 ,0, 6 ,x
To find the mean, we add them all up and divide by the number of numbers
(1+3+0+6+x) / 5 = 3
Multiply each side by 5
(1+3+0+6+x) / 5 *5= 3*5
(1+3+0+6+x) = 15
Combine like terms
10+x = 15
Subtract 10 from each side
10+x-10=15-10
x = 5
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
Josh is making a rectangular-shaped picture frame. The length of the frame is to be 5 inches more than twice the width. Which equation models the area, A, of the frame in terms of the width, w?
Answer:
A=2x^2+5x
Step-by-step explanation:
length of frame = 2x+5
width of frame = x
A=lw
A=(2x+5)x
A=2x^2+5x
I need help don’t know this ??
A right triangle is shown below.
Which measurement is the closest to the value of x?
Answer:
35°
Step-by-step explanation:
First you find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
You can look it up if you want, but sin35 = 0.574
so the answer is 35°
The closest to the value of x is 35°.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
In order to find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
sin35 = 0.574
Hence, the answer is 35°.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Help meeee!!! Whats x
Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
Simplify to create an equivalent expression. -2(-5n+6)+5(2-7n). Choose one answer
A) -2
B) -25n+10
C) -25n+2
D) -25n-2
Answer:
-25n-2
Step-by-step explanation:
-2(-5n+6)+5(2-7n)
-(-2×5n+2×6)+(-5×7n+5×2)
SA police department used a radar gun to measure the speed of a sample of cars on the highway.
Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a
standard deviation of 8 mph.
Using this distribution what is the z-score of a 65-mph speed limit? *
Answer:
The z score of the 65-mph speed limit is -0.75
Step-by-step explanation:
The z score is given by the relation;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
Z = Normal (Standard) or z score
x = Observed speed score
μ = Mean, expected speed
σ = Standard deviation
Where we plug in the values for x = 65-mph, σ = 8 mph and μ = 71 mph, into the z-score equation, we get;
[tex]z = \frac{65-71}{8}= \frac{-6}{8} = -\frac{3}{4}[/tex]
Hence the z score of the 65-mph speed limit =-3/4 or -0.75.
Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘.
Given that m∠DCG=25∘, this angle intercepts arc DG^ which makes mDG^=_, this means that mED^=130∘ as EG^ is a diameter.
∠CED intercepts CFD^, which makes m∠CED=_.
∠ECD intercepts ED^ which makes m∠ECD=_.
∠CDF intercepts CF^ which is 60∘, making m∠CDF=30∘. Using the triangle sum theorem, m∠EDC=_, and using Angle addition postulate the m∠EDF=55∘.
Answer:
50, 90, 65, 25
Step-by-step explanation:
I dont know how to get to it that is why I searched it up :/
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 34 kilogram each. How many bags does he pack? A. 18 bags B. 28 bags C. 32 bags D. 36 bags
Corrected Question
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?
Answer:
C. 32 bags
Step-by-step explanation:
Total Weight of Bag bought =24 kilograms
Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.
[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]
There will be 32 small bags of 3/4 kg.
The correct option is C.
A clock tower has a large bell that rings on the hour. The edge of the bell has a radius of 4 meters. What is the edge's circumference? *PLEASE HELP DUE TODAY*
Answer: 25.3m
Step-by-step explanation:
pi x 4
Am I right?? :) if I’m not please tell me what’s wronf
Answer: The first one is correct but the second one is not
answer blank 1 = 21
answer blank 2 = 189
Step-by-step explanation: You know that 21 students are at each group of tables and you know there is 9 groups total so to get the answer you must multiply 8 times 21 which is 189. Where you went wrong was you multiplied 9 * 3 instead of 9 * 21
hope this helps mark me brainliest if it did
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
help i need this what is it
Answer:
98
Step-by-step explanation:
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer:
96?
Step-by-step explanation:
i guessed i mean it has to be greater than 95 and less than 100
Solve the equation 4x^2 + 24x + 13 = 2x^2+ 6x to the nearest tenth.
Answer:
-0.8 and -8.2
Step-by-step explanation:
To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).
4x^2 + 24x + 13 = 2x^2 + 6x
2x^2 + 18x + 13 = 0
Then you can use the quadratic formula to solve for x. You will then come to
-18 ± sqrt(220) / 4
This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2
