Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationalized
x=
(Simplify your answer. Type an integer or a simplified fraction.)
Answers
Answer:
Step-by-step explanation:
It is a 30°-60°-90° triangle.
The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 90° angle has length 4, so the side opposite the 30° angle is 2.
x = 2
Related Questions
Look at the image below
Answers
Answer:
your answer will be 12
Step-by-step explanation:
[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]
have a nice day ^_^
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
∠B=∠E
7x+10=947x=94-107x=84x=8yx=8y/7x=12------------------
∠A=∠D
42=4x-64x=6+424x=48x=48/4x=12⭒☆━━━━━━━☆⭒
hope it helps...
have a great day!!
how are 4:1 and 12:3 different
Answers
Answer:
They are not different
Step-by-step explanation :if you reduce 12/3 it will give you 4:1 Which is the same as 4:1 so....They are not different.
John invests $6750 in an account that pays 6.25% interest per year. After how many years will her
investment be worth $20,000? Show your work.
A = Pert
Answers
Answer:
32 years
Step-by-step explanation:
fist find how much of 6750 is 6.25%
6750 * .0625 = 421.875
then use trial and error until u get the number u want
421.875 * 10 = 4218.75 + 6750 = 1096875 NO
421.875 * 20 = 84375 + 6750 = 151875 NO
421.875 * 30 = 12656.25 + 6750 = 19406.25 NO
421.875 * 31 = 13078.125 + 6750 = 19828.125 NO
421.875 * 32 = 13500 + 6750 = 20250 YES
please help it's due by the end of class
Answers
Answer: 20% (0.2)
Step-by-step explanation:
if you multiply 15 • 0.2 you get 3 which you then add to 15 to get 18
What is the vertex of 7x^2 + 14 + 9
Answers
Answer:
(0, 23)
Step-by-step explanation:
A dairy company can make 1200 units of product each week. To meet the needs of its regular customers, the dairy company must produce at least 300 units of cheese, and 450 units of yogurt. If the profit for each unit of cheese is $60 and for each unit of yogurt is $90, how many units of each type of dairy product should the dairy company make to maximize its profit?
Answers:
300 yogurt and 450 cheese
300 cheese and 900 yogurt
450 yogurt and 750 cheese
750 yogurt and 450 cheese
Answers
Answer:
300 cheese and 900 yogurt
Step-by-step explanation:
300 cheese and 900 yogurt
A population of wolves in a county is represented by the
equation P(t) = 80(0.98)', where t is the number of years
since 1998. What is the percent decrease of wolves per year?
Answers
Answer:
P(t)=80(0.98)t P ( t ) = 80 ( 0.98 ) t , where t is the number of years since 1998 Step-by-step explanation:
P(t)=80(0.98)t P ( t ) = 80 ( 0.98 ) t , where t is the number of years since 1998
The percent decrease of wolves per year is 2%.
To understand more, check below explanation.
Percentage decrease :A population of wolves in a county is represented by the equation,
[tex]P(t)=80(0.98)^{t}[/tex]
where t is the number of years.
Let us consider that, 1998 is base year. so that, t = 0
[tex]P(0)=80[/tex]
Population of wolves in 1999, substitute t=1
[tex]P(1)=80*0.98=78.4[/tex]
the percent decrease of wolves per year is computed as;
[tex]=\frac{80-78.4}{80} *100\\\\=\frac{1.6}{100}*100\\ \\=0.02*100=2\%[/tex]
The percent decrease of wolves per year is 2%.
Learn more about the percentage here:
https://brainly.com/question/24304697
Simplify to a single power of 2
Answers
Answer:
[tex]2^{4}[/tex]
Step-by-step explanation:
Answer:
2^4
Since the answer is 16.
f(x) = 9x2 - 4
Find the zeros of the function
Answers
Answer:
I believe that the answer is 14.
Step-by-step explanation:
hope it helped
Find the rate of change between (3, 8) and (6, 26)
Answers
Answer:
6
Step-by-step explanation:
The slope m between the 2 points is a measure of the rate of change.
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)
m = [tex]\frac{26-8}{6-3}[/tex] = [tex]\frac{18}{3}[/tex] = 6
Then rate of change is 6
Jenna has a garden with coordinate A(2,-1), B(4,3), C(9,3), D(7,-1) where each unit is 1 foot.
What are the dimensions of the garden rounded to the nearest 10th? (Looking for the lengths of the sides)
Answer choices: 9.5 ft, 6 ft, 4.5 ft, 5 ft, 4ft. (You can pick multiple.)
If Jenna decides to buy fencing for the garden, how much fence material does she need to buy? (Free response)
What is the most precise name for the shape of the garden? Answers: Quadrilateral, Rectangle, Square, Parallelogram (Can only pick one)
Answers
Answer:
a) The dimensions of the garden are: 4.5 ft and 5 ft
b) 22.5 ft² of fencing material
c) The most precise name for the shape of the garden is a Rectangle
Step-by-step explanation:
a) Jenna has a garden with coordinate A(2,-1), B(4,3), C(9,3), D(7,-1) where each unit is 1 foot.
What are the dimensions of the garden rounded to the nearest 10th? (Looking for the lengths of the sides)
When we are given coordinates, we find the dimensions using the formula
= √(x2 - x1)² - (y2 - y1)²
(x1 , y1) and (x2 - y2)
For side AB
A(2,-1), B(4,3)
= √(4 - 2)² + (3 - (-1))²
= √2² + 4²
= √4 + 16
= √20 units = √20 feet
= 4.472135955 feet
Approximately = 4.5 feet
For side BC
B(4,3), C(9,3)
= √(9 - 4)² + (3 - 3)²
= √5² + 0²
= √25
= 5 units = 5 feet
For side CD
C(9,3), D(7,-1)
= √(7 - 9)² + (-1 - 3)²
= √(-2)² + -4²
= √4 + 16
= √20 units = √20 feet
= 4.472135955 feet
Approximately = 4.5 feet
For side AD
A(2,-1), D(7,-1)
= √(7 - 2)² + (-1 - (-1))²
= √5² + (-1 + 1)²
= √5² + 0²
= √25
= 5 units = 5 feet
Therefore, the dimensions of the garden are: 4.5ft and 5 ft
b) If Jenna decides to buy fencing for the garden, how much fence material does she need to buy? (Free response)
To buy fencing material for the garden, we have to find the area of the garden
Formula = Length × Width
= 4.5 ft × 5 ft
= 22.5 ft²
Therefore, Jenna needs to buy 22.5 square feet of fencing material.
c) What is the most precise name for the shape of the garden?
From the above calculation, we can see that
Side AB = Side CD = 4.5 ft
Side BC = Side AD = 5 ft
Therefore, the most precise name for the shape of the garden is a Rectangle
Please tell me the answer to 8 to the tenth power times 6 to the 4 power? I really need to know
Answers
Answer:
1391569403904
Step-by-step explanation:
Answer:
1.3915694e+12
Step-by-step explanation:
range of f(x)=3x^2-30x-9
Answers
Answer:
y ≥ -84
Step-by-step explanation:
-84 id the vertex so it is the lowest possible value for the range
5C. Amanda pours 3/4 of her water into Barbara’s empty bottle. Barbara then pours 3/5 of her water into Charlie’s empty bottle. Charlie then pours 1/2 of his water into David’s empty bottle. If David now has 18 ounces of water, how many ounces does Amanda still have?
Answers
Answer:
20 ounces
Step-by-step explanation:
For this type of problem it is best to work backwards.
If David has 18, and Charlie gave him 1/2, then Charlie has 36 because 18x2=36. Barbara has 60, because 36/3= 12 and 5x12=60. Then, Amanda has 80 because 60/3=20 and 20x4= 80. But, we need to subtract 60 because the problem asks how many ounces of water does Amanda still have. So, 80- 60(The amount of water she gave to Barbara)=20.
Answer:
20
Step-by-step explanation:
A cube-shaped box has a volume of 27 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the
box?
Answers
Answer:
9 along one side.
Step-by-step explanation:
This question may be a bit tricky.
The side should mean the entire side, not just along the bottom edge.
The bottom row will have three 1-inch cubes. Three more in a middle row, and three more on top of that. That is a total of nine on that side.
witch one is the function
Answers
Answer:
B
Step-by-step explanation:
a function doesn't have any repeating x values
GUYS PLS HELPPP ME!!!!
Answers
which expression has a constant of 5?
Answers
Answer:
A
Step-by-step explanation:
find the area of the trapezoid
Answers
a = 24
b = 24 + 6 + 9
= 39
h = 12
[tex] \frac{1}{2} \times (a + b) \times h \\ = \frac{1}{2} \times (24 + 39) \times 12 \\ = 63 \times 6 \\ = 378[/tex]
#CMIIW
ABC is the image of ABC under a translation
Answers
I need help on this. Can someone explain it?
Answers
Answer:
noooooooooooooooooooooo
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond
HI PLS HELP
x^2 - 6x + ___ = ( _____ )^2
Select one:
a. 9; x + 3
b. 9; x - 3
c. -6; x + 6
d. -6; x - 6
Answers
Answer:
Hello
Step-by-step explanation:
Answer:
B. 9; x-3
Hope this helps!
Charley has 1 ⅞ pounds of trail mix. If each bag can hold 1/12-pound of mix, how many full bags can be made?
Answers
Answer:
9
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
1 7/8 = 15/8
15/8 ÷ 1/12 = 15/8 × 12/1 = 45/2 or 22 1/2
(3RD TIME POSTING THIS)
Write the word sentence as an inequality
A number x is no more than - 8
Answers
Answer:
x ≤ -8
Step-by-step explanation:
"A number x": x
"is no more than": ≤*
"-8": -8
x ≤ -8 is your answer.
*Note the choice of less than or equal too. "No more than" implies that it can technically be -8, only that it can't be greater than -8 (-7 or more).
~
Find the missing side of this right
triangle.
5
Х
3
x = [?]
Enter the number that belongs in the green box.
Answers
25-9 is 16
The square root of 16 is 4
Answer is 4
To check, plug it back in you get
9+16=25
Answer:
x= 4
Step-by-step explanation:
During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, sprint freestyle, and cool-down breast stroke. After he completes each interval, he rests for three minutes.
Sketch a graph that represents the swimmers’ interval times with respect to swimming speed. Assign the x- and y-axes with appropriate labels. You may use description words instead of numbers to label the graph.
Answers
Answer:
I'm not sure if the warm up speed is less than the cool down speed. If it is different than how I did it you just need to swap their positions on the y axis, so the "lumps" or whatever you want to call the shapes will be in opposite positions. The middle one will stay the same because it is the fastest and in between the two happening. Also let me know if you can't read any of the labels
Write the expression using exponents. 8 x 8 x 8 x 8 x 8
Answers
Answer:
8^{5} or 32,768Step-by-step explanation:
8 x 8 x 8 x 8 x 8
= 8² + 8²
=8²+²
=8^5
Suppose demand d for a company's product at cost x is predicted by the
function d(x)=0.36x + 810, and that the price p that the company can charge
for the product is given by p(x) = x+14. Find the company's revenue function.
Answers
Answer:
0.36x ² + 815.04x + 11,340
Step-by-step explanation:
Revenue = price × quantity
p(x) = x+14
d(x) = 0.36x + 810
Revenue = price × quantity
= (x + 14) * (0.36x + 810)
= 0.36x² + 810x + 5.04x + 11,340
= 0.36x ² + 815.04x + 11,340
Company's revenue = 0.36x ² + 815.04x + 11,340
2x + 3 = -x + 12
Solve the equation, explanation is good.
Answers
Answer:
3
Step-by-step explanation:
2x + 3 = -x + 12
subtract 3 from both sides
2x = - x + 9
add x to both sides
3x = 9
divide by 3
x = 3
8. Terry, a plumber, worked 9 months out of the year. What percent of the year
was Terry NOT WORKING? *
Answers
Answer:
25%
Step-by-step explanation:
9/12 = 3/4
1/4 (the months he wasn't working) = 25%
12 months not working. 100 %
X=9•100/12
X=75%
Terry spent 75% of the year working
100-75%=25%
Terry spent 25% of the year not working