11^2 = h^2 + ( 14/2)^2
11^2 = h^2 + 7^2
121 = h^2 + 49
h^2 = 121 - 49
h^2 = 72
h = √72
Simplify the following polynomial and write the answer in standard form
Answer:
D
Step-by-step explanation:
We have to added up the like therms (the therms with the same literal parts)
x^2 + 2x^2 = 3x^2
3x - 4x = -x
2 + 1 = 3
3x^2 - x + 3
Answer:
D
Step-by-step explanation:
Edge 2022
Factor to write an equivalent expression.(What is the Greatest Common Factor?).
−9x+15y
Answer:
GCF is 3
Step-by-step explanation:
Given the expression -9x + 15y
First, we need to find ther individual factors
-9x = -3 *3 * x
15y = 3 * 5 * y
Since 3 is common to both factors
−9x+15y = 3(-3x+5y)
Hence the GCF is 3
solve the inequality 14≥3x+2
Answer:
4 ≥ x
Step-by-step explanation:
14 ≥ 3x + 2
14 - 2 ≥ 3x
12 ≥ 3x
4 ≥ x
Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.
What is inequality?In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Given:
14 ≥ 3x+2
Switch sides
3x+2 ≥ 14
Subtract 2 from both sides of the equation, we get
3x + 2 - 2 ≥ 14 - 2
Simplifying the above equation
3x ≥ 12
Divide both sides by 3, we get
3x/3 ≥ 12/3
x ≥ 4
Therefore, the value of x ≥ 4.
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6 + (8 x 3) - 9 Enter the value
Answer:
Hello, so the answer is 21.
Step-by-step explanation:
Okay so first we want to do it order, so the order you do it in is the order of PEMDAS which stands for Parentheses, Exponents, Multiplication, Division , Addition and Subtraction.
So in this situation we have parenthesis, multiplication, subtraction and addition, so we start with the parenthesis, (8 x 3) which is 24. So then we move on to +6 (positive six) and -9 (negative 9) basically -9 minus 6 is -3.
Sooo now we have -3 and 24. The three is negative because -9 minus 6 is -3, and you have to put the sign of the bigger number.
Now, 24 minus 3 equals 21. So there we have it :)
Hope I helped!
[tex]\frac{3}{4}- \frac{2}{3}[/tex]
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
We require the fractions to have the same common denominator
The LCM of 4 and 3 is 12 , then
[tex]\frac{3(3)}{4(3)}[/tex] - [tex]\frac{2(4)}{3(4)}[/tex]
= [tex]\frac{9}{12}[/tex] - [tex]\frac{8}{12}[/tex]
= [tex]\frac{1}{12}[/tex]
20.3/3.5*0.58 in a standard form
Answer: 3.364
Step-by-step explanation: ?????
Solve the triangle for all missing sides and angles
Answer:
a=9
c= 17.5
angles: a =31, b =59, c =90
Step-by-step explanation:
a:
tan (31) = a/15 *cross multiply*
a = 15 (tan (31))
a = 9
c:
*use pythagorean theorum*
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
17.5 = c
Answer:
B = 59
a = 9.01
c = 17.49
Step-by-step explanation:
Angle B
180 - 90 - 31 = 59
c
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
sin(B)=15/c
sin(59)=15/c
c=15/sin(59)
c=17.49
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]
The table shows the beverage preferences of 50 shoppers at the mall.
Beverage Survey
Beverage Number of
Shoppers
A
15
B
12
с
9
D
6
E
8
a. Write a probability distribution of the experiment.
b. Based on your distribution, what is the probability that one shopper, selected at random prefers either Beverage A or
Beverage C?
a. a.
Outcome A B С D E
Probability 0.3 0.24 0.18 0.12 0.16
b. 0.52
Mark this and return
Save and Exit
Next
Submit
The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.
a. A probability distribution of the experiment.
The probability of selecting Beverage A is ;
P(A) = 15/50 = 0.3
The probability of selecting Beverage B is ;
P(B) = 12/50 = 0.24
The probability of selecting Beverage C is ;
P(C) = 9/50 = 0.18
The probability of selecting Beverage D is ;
P(D) = 6/50 = 0.12
The probability of selecting Beverage E is ;
P(E) = 8/50 = 0.16
b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.
P(A or C) = 15/50 + 9/50
P(A or C) = 24/50
Thus, P(A or C) = 12/25
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a tennis ball is hit with a vertical velocity of 40ft/s from an initial height of 7ft. In how many seconds will the ball hit the ground? Round your answer to the nearest tenth, if necessary. PLEASE SHOW ANY WORK IF POSSIBLE!!!!! THANK YOU SO MUCH TO WHOEVER ANSWERS THIS!!!!
Answer:
friend me on here and imma send you the link Step-by-step explanation:
Please help and quick !
Answer:
x =answer is 800 m so good luck
Answer:
x=800
Step-by-step explanation:
I think. Not sure.
How many triangles can a heptagon be divided into?
3
4
6
5
Answer:
5
Step-by-step explanation:
In the circle above, DE = 2, CE = 6, and BE = 3.
What is the measure of EA?
A) 2
B) 3
C) 6
D) 4
Answer: The correct option is (D) 4.
Step-by-step explanation:
According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.
Given:
DE = 2
CE = 6
BE = 3
Now calculating the the value of EA.
As per theorem:
[tex]DE\times CE=BE\times EA[/tex]
Now putting the all the given values in this expression, we get:
[tex]2\times 6=3\times EA\\\\EA=4[/tex]
Therefore, the measure of EA is 4.
What is the answer of this
l WILL GIVE BRAINLIEST......
find the range of X
Answer:
Step-by-step explanation:
Numbers that is less than 5 like 4,3,2,1,0
Answer:
1>x>-2 or -2<x<1
Step-by-step explanation:
2<3-x<5 (minus 3)
-1<-x<2 (devide by -1)
1>x>-2
heyy please help with this question - i'll give brainliest :))
Answer:
B. 147 cm2
Step-by-step explanation:
Please help 15 points!!!
Answer:
20 m²
Step-by-step explanation:
Figure 1: 4 x 4 = 16
Figure 2: 2 x 2 = 4
16 + 4 = 20
You are a manager in one of the branches of a restaurant. The area manager assigned
you to analyze the statistical data of the ages of the customers who eat in your
restaurant. From the survey forms, the following are the summary of their evaluations:
Age - - - - - - - No. of Customers
16–20 - - - - - -32
21–25 - - - - - -40
26–30 - - - - - -15
31–35 - - - - - - 29
36–40 - - - - - - -11
Using the given data, determine how spread out the ages of the customers are using
measures of variability. Find out what ages fall within one standard deviation from the
mean. Knowing this, what range of ages or what age group should the restaurant give
more focus on, and what products do you think should the restaurant come up with to
generate higher sales? Submit a typewritten report detailing your answers, solutions, and
explanations to these questions.
Answer:
?????????????????????
I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
Okay so i Need help
Please show working out.........
Answer: Can you put a better picture this is blurry
Step-by-step explanation:
HELP ME WITH THIS PLEASE!! #∆# ~∆~
Find the RATIO and the EXACT VALUE of the given Cot B.
Answer:
Step-by-step explanation:
take angle B as reference angle
using cot rule
cot B=adjacent/opposite
cot B=5/12
cot B=0.41
B=cot 67.5
B=67.5 degree
for ratio,
cot B=5/12
Find the volume of the given figure.
5
9
8
Answer:
179.996
Step-by-step explanation:
what is law of sines
Answer:
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles
The Law of Sines (or Sine Rule) is very useful for solving triangles:
a/sin A=b/sin B=c/sin C
hope this helps
have a good day :)
Step-by-step explanation:
Find the number of moles of Argon in 97.37 grams.
Answer:
n = 2.43 moles
Step-by-step explanation:
Given mass, m = 97.37 grams
The mass of Argon is, M = 39.948 g/mol
We know that,
No. of moles = given mass/molar mass
[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]
Hence, there are 2.43 moles of Argon.
What is 99,900 rounded to the nearest ten thousand
Answer:
100,000
Step-by-step explanation:
Because the 9 thousand is more than 5.
Find the value of x. Using trig
Hi there! We can find the value of x by using this equation.
[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]
If you remember, tanx = opposite/adjacent. We focus on the angle x currently.
Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.
[tex] \large{arctan( \frac{19}{23} )} = x[/tex]
You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.
arctan(19/23) is 0.69
Then we round up and get 0.7
Hence, the value of x ≈ 0.7
Answer
x ≈ 0.7 (rounded)Questions can be asked through comment.
Hope it helps, and Happy Learning! :)
You're picking out water balloons. There are 333 colors and 222 sizes.
If you randomly pick the color and size, which of these tables lists all possible outcomes? (Each row represents one outcome.)
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Table A
(Choice B)
B
Table B
Table A:
Color Size
Green Large
Green Small
Orange Large
Orange Small
Yellow Large
Yellow Small
Table B:
Color Size
Green Large
Orange Large
Yellow Large
Green Small
Orange Small
Yellow Small
Answer:
Select both Table A and Table B
Step-by-step explanation:
Both Tables show all 3 colors and 2 possible sizes
For proof here is a screenshot of the answer being correct:
Find the product of 403 and 89.
[tex]35,867[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]403 \times 89 \\ = 35,867[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Answer:
35867 is the product of 409 and 89. At least I think so.
Step-by-step explanation:
What is the value of
(5x2)3 + 16y + 4y for x = 2 and y = 3?
hello
Step-by-step explanation:
[tex]90.[/tex]
90 is the answer:)
What is the approximate area of a circle with a diameter of 10 in?
A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2
Answer:
Hello! answer: 78.5 in2
Step-by-step explanation:
IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14
area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25
25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!
The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Given that;
Diameter of circle = 10 in.
Now, We know that;
⇒ Area of circle = πr²
Where, 'r' is radius of circle.
Here, Diameter of circle = 10 in.
Hence, Radius = 10 / 2 = 5 in
Thus, We get;
⇒ Area of circle = πr²
⇒ Area of circle = 3.14 x (5)²
⇒ Area of circle = 78.5 in²
Thus, The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
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