Answer:
4×side length=perimeter of the square
4×(2x+3) = 100
2x+3 = 25
2x=25-3=22
x=11
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
Help me and show work plz <3
Answer:
0.8^4
Step-by-step explanation:
Write the expression using exponents.
[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]
___________________Solution :-Given Information :-Expression ➢ 0.8 · 0.8 · 0.8 · 0.8 To Find :-The value of the expression using exponents. Calculation :-Since, the expression is actually the repetition of 0.8, so we can write this as,
⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴
Calculating further, We get,
⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]
⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]
Calculating further, We get,
⇒ ( 0.8 )⁴ = 0.4096
∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096
____________________Final Answer :-0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096____________________Find the area of a square
Answer:
Step-by-step explanation:
area =l^2
=7^2
=49 km^2
plz help me i will give 50 points,
There are seven quarters in the bottom of a tote bag. Three of those quarters were minted in 2019, two were minted in 2001, and two were minted in 2008. What is the probability of selecting two quarters that were both minted in years other than 2019 if the first was not replaced before the second was selected?
Answer:
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Step-by-step explanation:
Given
[tex]n(2019)= 3[/tex]
[tex]n(2001)= 2\\[/tex]
[tex]n(2008)= 2[/tex]
[tex]n = 7[/tex] --- total
Required
[tex]P(Not\ 2019)[/tex]
When two quarters not minted in 2019 are selected, the sample space is:
[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]
So, the probability is:
[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(2001,2001) = P(2001) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2001) = \frac{1}{21}[/tex]
[tex]P(2001,2008) = P(2001) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2008) = \frac{2}{21}[/tex]
[tex]P(2008,2001) = P(2008) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2001) = \frac{2}{21}[/tex]
[tex]P(2008,2008) = P(2008) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2008) = \frac{1}{21}[/tex]
So:
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]
Take LCM
[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]
[tex]P(Not\ 2019) = \frac{6}{21}[/tex]
Simplify
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16
Answer:
10
Step-by-step explanation:
arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten
if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest
Answer:
Hello There!!
Step-by-step explanation:
Median is ordering the numbers from smallest to biggest.
Ordered: 4,6,6,9,11,19,23,34
And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.
hope this helps,have a great day!!
~Pinky~
To balance a seesaw, the distance a person is from the fulcrum is inversely proportional to his or her weight . Roger , who weighs 120 pounds is sitting 6 feet from the fulcrum . Ellen weighs 108 pounds . How far from the fulcrum must she sit to balance the seesaw ? Round to the nearest hundredth of a foot .
Answer:
[tex]d_e =6.67ft[/tex]
Step-by-step explanation:
From the question we are told that:
Weight of Roger [tex]W_r=120\ pounds[/tex]
Distance of Roger from fulcrum [tex]d_r=6 ft[/tex]
Weight of Ellen [tex]W_e=120\ pounds[/tex]
Generally the equation for distance-weight relationship is mathematically given by
[tex]d\alpha \frac{1}{W}[/tex]
[tex]\frac{d_1}{d_2} =\frac{W_2}{W_1}[/tex]
[tex]\frac{d_r}{d_e} =\frac{W_e}{W_r}[/tex]
Therefore
[tex]\frac{d_e}{d_r} =\frac{W_r}{W_e}[/tex]
[tex]d_e =\frac{W_r*d_r}{W_e}[/tex]
[tex]d_e =\frac{6*120}{108}[/tex]
[tex]d_e =6.67ft[/tex]
Therefore the distance from the fulcrum she must sit to balance the seesaw is given as
[tex]d_e =6.67ft[/tex]
A recipe calls for 1/3 cup of sugar for every 1/2 teaspoon of vanilla. What is the unit rate per teaspoon? Remember to divide to find unit rate. Unit rate is the value of one item per something.
Answer:
0.6 I think ........................
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?
____________________Solution :-Given Information :-Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00To Find :-Total cost of the mirror Austen needs to buy.Formula Used :-Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot Calculation :-Area of mirror :-Substituting the values given in the 1st formula, We get,
⇒ Area of mirror = ( 3 × 2 ) ft²
⇒ Area of mirror = 6 ft²
Now finding the total cost of mirror,Substituting the values calculated above in the 2nd formula, We get
⇒ Total Cost of mirror = $ ( 6 × 5.00 )
⇒ Total Cost of mirror = $30
___________________Final Answer :-Total cost of the mirror Austen needs to buy will be $30____________________The sum of three numbers is fifty-four. The second number is four times the first number, and the third number is six more than the first number. What are the three numbers?
Answer:
8 , 32 AND 14
Step-by-step explanation:
Find the value of x?
if u get it right u get 50 brainly points
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Angles sum property.
Since the total angle is 90° , hence we get the equation as,
==> 33° + 6x + 3° = 90°
==> 36° + 6x = 90°
==> 6x = 90 - 36
==> 6x = 54°
hence, x = 54/6 = 9°
so, we get as,
==> 6x+3 ==> 6(9)+3 = 54+3 ==> 57°
Answer:
The answer to your question is --- 6x+3 --- 6(9)+3 + 54+3 --- 57°
Step-by-step explanation:
33° + 6x + 3° = 90°
36° + 6x = 90°
6x = 90 - 36
6x = 54°
x = 54/6 = 9°
I hope this helps and have a wonderful day!
I need help with this problem
"Solve for x
4x ≤ 12"
Please someone help me
x ≤ 3
Step-by-step explanation:
4x ≤ 12
divide each side by 4
x ≤ 3
find the solution of given expression !!
[tex] \sqrt{36 \times 4} [/tex]
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \sqrt{36 \times 4} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex][tex]2 \times 3 \times 2[/tex][tex]12[/tex]Therefore, the correct answer is 12
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
please help me
i wanna sleep :(
Answer:
what langue is that
Step-by-step explanation:
A cube has a side length of 5x cm. What is the volume of the cube?
Answer:
125x^3 cm^3
Step-by-step explanation:
The volume of a cube of side length s is V = s^3.
If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3
If any of you are good with math and Science especially algebra can you PLEASE HELP ME
Answer:
ok what do i do 1st
Step-by-step explanation:
Answer:
how can i help?
Step-by-step explanation:
[tex] \frac{1}{x^{2} - 1 } - \frac{1}{x - 1} [/tex]
Answer:
-x/x^2-1
Step-by-step explanation:
-x^2+x/x^3-x^2-x+1
x(-x+1)/(x+1)(x-1)(x-1)
-x/x^2-1
1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%
What is the value of h?
Answer:
6.
Step-by-step explanation:
626×10−34
Answer:
h= 5.7
Step-by-step explanation:
trust me pls ill show work if u need me to
Given the following probabilities, determine whether
the events A and B are independent or dependent.
P(a) x p(b) = 2/5 x 1/4 = 2/20 = 1/10
1/10 does not equal 1/9 so the event is dependent
The answer is B ( the second choice)
You ran 10 blocks in 5 minutes, and you ran at a consistent speed, how long did it take to run 1 block?
Answer:
30 seconds
Step-by-step explanation:
10 ÷ 10 = 1 block
5 ÷ 10 = 0.50
0.50 of a minute is 30 seconds
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
G(x) = (x^2 +2)
Step-by-step explanation:
The graph moved to the left 2 units, therefor that is the equation :)
The equation of the blue graph will be G(x) = (x² +2).
What is a qudratic function?In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.
A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.
The given equation of the red graph is,
F(x) = x²
The graph moved to the left 2 units, hence the equation can be written as,
G(x) = F(x) + 2
G(x) = x² + 2
To know more about quadratic function follow
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What value of X makes equation below true 2x + 9 = 4x - 1
Answer:
5
Step-by-step explanation:
Answer:
5 IS THE RIGHT VALUE THAT MAKES THE GIVEN EQUATION TRUE...
Step-by-step explanation:
2x+9=4x-1
9+1=4x-2x
10=2x
10/2=x
5=X
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims 2 number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes
Answer:
40 minutes
Step-by-step explanation:
Answer:
Y = X + 15*D
Step-by-step explanation:
Y = Person Swims During Practice
X = Frien Swims During Practice
D = number of Days both Practice
its given that daily 15 minutes longer swim then Friend
Hence
Y = X + 15*D
Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)
Answer:
y=-5/4x-4.
Step-by-step explanation:
parallel lines have to have the same slope so they don't intersect each other
original equation with the same slope and rewrite it using point slope form:
y-y1=-5/4(x-x1) now Substitute the point(-4,1)
y-1=-5/4(x-(-4))
y-1=-5/4(x+4)
Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:
y-1=-5/4x-5
y=-5/4x-4.
The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.
Answer: y=-5/4x-4.
Step-by-step explanation:
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
The radius of a circle is 12 centimeters. Calculate the area of the circle?
Answer:
A≈452.39cm²
Step-by-step explanation:
Solution
A=πr2=π·122≈452.38934cm²
Answer:
452.389
Step-by-step explanation:
hope this help
In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63
Answer:
Step-by-step explanation:
uy
According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
How to calculate how much average household paid per year in federal gasoline taxes?To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:
Determine the total number of gallons of gasoline consumed by the average household per year:
Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)Calculate the total amount paid in federal gasoline taxes per year:
Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
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Which bacteria sample (A or B) had a smaller initial population? What was that value?
Answer:
B has a smaller initial population of 500
Step-by-step explanation:
Given
See attachment for complete question
Required
The bacteria with the smaller initial population
The initial population is at x = 0
For bacteria A;
[tex]A(x) = 600[/tex] when [tex]x = 0[/tex]
For bacteria B, we have:
[tex]B(x) = 500(2)^x[/tex]
Substitute 0 for x
[tex]B(x) = 500(2)^0[/tex]
[tex]B(x) = 500*1[/tex]
[tex]B(x) = 500[/tex]
So; when x = 0
[tex]A(x) = 600[/tex] and [tex]B(x) = 500[/tex]
Because; 500 < 600
We can conclude that B has a smaller initial population of 500