Answer: Choice D
[tex]\frac{9\sqrt{2}}{2}[/tex]
=============================================
Explanation:
We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.
Solving for y gets us [tex]x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}[/tex]
In this case, y = 9 is the hypotenuse which then leads to choice D.
------------
Another way to find the answer is to use the pythagorean theorem
a = x and b = x are the two congruent legs
c = 9 is the hypotenuse
Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to [tex]x = \frac{9\sqrt{2}}{2}[/tex]
PLS HELP
What is the value of x ?
A. 42
B. 43
C. 84
D. 86
Answer:
B
Step-by-step explanation:
x+x+94 = 180 (sum of angle of triangle)
2x+94 = 180
2x = 180-94
2x = 86
x = 86÷2
Therefore x = 43
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
please help me !! this diagram is not to scale.
Answers:
sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24==============================================
Explanation:
We use these rules shown below
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentFor reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).
Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.
The function f(x) is graphed below. what is f(1)?
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
Pls help i don’t know how to answer
Answer:
I'm pretty sure your answer is 3, -4
Step-by-step explanation:
If a car can travel 250 miles on 10 gallons of fuel , how many gallons are requiered to travel 1325 miles
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
i need a job please help lol
Answer:
just say something inspiring and formal
Please help me its 2:24am and im really tired but im trynna get this done so please someone help
THE CORRECT ANSWER IS 57 CM³!
Write an inequality for the graph below.
DO NOT PUT A LINK!
Answer:
y=1/4x+1
i think
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
39
Step-by-step explanation:
sin^-1(x)= 39/62
x= 38.97
x=39
25/24 as a decimal and round it to the nearest hundredth
Answer:
1.04
Step-by-step explanation:
25/24=1.04166667
round: 1.04
In the figure below, what is the measurement of GH ?
Answer:
C. 4
Step-by-step explanation:
first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.
4^2 + JK^2 = 5^2
16 + JK^2 = 25
JK^2 = 9
JK = 3
now we can solve for GH
3^2 + GH^2 = 5^2
9 + GH^2 = 25
GH^2 = 16
GH = 4
Find the volume of a sphere that has a radius of 6 in
Answer:
volume = 904.78 cubic inch
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]
Answer:
904,32 in³
Step-by-step explanation:
The formula for finding the volume of a sphere with given radius is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
You simply substitute r³ with 6³:
[tex]V=\frac{4}{3} \pi 6^3[/tex]
Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³
These are the first six terms of a sequence starting with a1 = 80:
80, 40, 20, 10, 5, 5/2, ….
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.
an=?
Answer:
[tex]a _{n} = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} = \frac{80. {2}^{n} }{ {2}^{ 1} } \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3} \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )[/tex]
The perimeter of this shape is 92cm.
Find the value of x.
(x + 7)
Step-by-step explanation:
x + 7 = 92
x = 92 - 7
x = 85
The value of x is 85
PLEASE ANSWER CORRECTLY NO WRONG ANSWERS I BEG! 90 POINTS HERE Here is a histogram that shows some dog weights in pounds. Refer to the histogram too.
Use the histogram to answer the following questions.
How many dogs weigh at least 100 pounds?
How many dogs weigh exactly 70 pounds?
How many dogs weigh at least 120 and less than 160 pounds?
How much does the heaviest dog at the show weigh?
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
Discuss with a partner:
If you used the dot plot to answer the same five questions you just answered, how would your answers be different?
How are the histogram and the dot plot alike? How are they different?
Answer:
Exactly 22 dogs weigh at least 100 pounds
Exactly 6 dogs weigh 70 pounds
Exactly 9 dogs weigh at least 120 and less than 160 pounds
The heaviest dog at the show weighs 170 pounds
At this dog show a typical weight for a dog would be around 100 - 120
Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)
x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
PLEASEEEE help I will give you BRAINLEST
Answer:
y=2x+3
Step-by-step explanation:
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
agregenme o baneo la preguntta
Answer:
translate; Assault me or ban the question
Step-by-step explanation:
help me plsssssssssssss
Answer:
do you still need help
Step-by-step explanation:
???
A television shop sold a set for $799. It made a profit of $ 245.25. How much did the shop buy the television for ?
Answer:
the shop originally bought the television for $553.75
Step-by-step explanation:
this is because if they sold it for $799 and made a profit of $245.25 then you would subtract the profit from the price the TV sold for and you get $553.75
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
Solve for X. rx-s = t
Answer: x=t/r+s/r
How to: Isolate the variable by dividing each side by factors that don't contain the variable.
Have a great day and stay safe !
Answer:
[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]
Lee took 10 pictures with a camera and 2 of them were pictures of airplanes.
What percent of the pictures that Lee took were pictures of airplanes?
Answer:
20%.
Step-by-step explanation:
100/20 is 20%, but so is 10/2 because it is the same, but simplified.
Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.
Answer:
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
Step-by-step explanation:
Given
The fractions are:
[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]
Required
How the fractions can be rewritten
The fractions can be rewritten by taking the LCM of the denominators.
The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]
So, we have:
[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]
Simplify the numerators
[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]
Now, the fractions can be ordered based on the numerators
[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]
Return to original form
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are both college graduate and army veterans as shown above, how many are neither college graduate nor army veterans?
Answer:
the number of recruits neither be college graduate and nor army veterans is 30
Step-by-step explanation:
The computation of the number of recruits neither be college graduate and nor army veterans is as follows;
= Total recruits - (college students + army veterans - both college graduates & army veterans)
= 120 recruits - (80 + 25 - 15)
= 120 recruits - 90
= 30
hence, the number of recruits neither be college graduate and nor army veterans is 30
What is the circumference of the circle? d=44in
Answer:
138.23 in
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
138.16
Step-by-step explanation:
Diameter times pi gives you circumference. I used 3.14
Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
Hi there!
[tex]\large\boxed{\text{False.}}[/tex]
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.