What is the value of x? If necessary leave your answer in the simplest radical form.
Answers
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2
Related Questions
Geometry- Solve the portion. Question#3
Answers
Answer:
[tex]a=1[/tex]Step-by-step explanation:
First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]Answer:
a=1
Step-by-step explanation:
Hi there!
We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a
Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.
Therefore, the proportion will now be:
[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]
Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)
1(a+3)=4(1)
Multiply
a+3=4
Subtract 3 from both sides
a=1
Hope this helps!
32is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 32, slightly less than , slightly greater than 32, or a lot greater than 32 ? Explain
Answers
Answer:
A lot greater
Step-by-step explanation:
32 is 0.2% of the number, that is a small amount compared to what the whole is
Which Game Is The Best And Why?
A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man
Answers
Answer:
Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun
Step-by-step explanation:
The range of F(x) = logo x is the set of all real numbers.
A. True
O B. False
Answers
Answer:
The range of F(x) = logo x is the set of all real numbers is True.
Step-by-step explanation:
Yes, Because range of the logarithmic function is the set of ''all real numbers.'
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = log x
Now,
The given function is a logarithmic function.
And, The range of the logarithmic function is the set of all real numbers.
Hence, The range of function F(x) = log x is the set of all real numbers.
Thus, The range of F(x) = log x is the set of ''all real numbers''.
Learn more about the function visit:
https://brainly.com/question/11624077
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A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80 each, and those worn by Group B cost $90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B
Answers
Answer:
2,270
Step-by-step explanation:
HOPE IT HELPED >:D
Answer:
2270 dollars
Step-by-step explanation:
You know each group has 25 dancers and then you multiply 80 by 25 to get the cost of group a. Then you just subtract 2000 from your total to get your answer.
Darryl can travel to the store on his skateboard three times faster than he can return carrying his package and skateboard. If the total trip takes 30 minutes, how many minutes does it take him to return from the store?
Answers
48Step-by-step explanation:
40 = 48 quarts
Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?
600 students
300 students
450 students
800 students
which one?
Answers
Answer:
600
Step-by-step explanation:
Take the number that answered lavender and divide by total # of students surveyed
49/75 = .653333 or 65.3%
then take the total # of students and multiply by .6533333
908x .6533333 = 593.22
so the closest estimate is 600
-- Gage Millar, Algebra 1/2 tutor
Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?
Answers
Answer:
$6.40
Step-by-step explanation:
9.15-2.75=6.40
I am stuck on a geometry lesson. It is on the Angle Sum Theorem. It said we have an obtuse trisngle with angles 1, 2, and 3. Then they extend the line out as a dashed line top and bottom parallel to each other. It then he says we have angle 1 value would also be true on the opposite side of the triangle like as a transeversal intersected 2 parallel lines making those angles alternate interior angles. He does the sme with 2. then says 1 plus 2 plus 3 equal 180 and says it twice. What does that mean?
Answers
what is the vertical asymptote for this function?
y=1/x-2
Answers
Answer: x = 0
Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.
Answer:
2
Step-by-step explanation:
2/3 subtracted from 1/2
Answers
Answer:
-1/6
Step-by-step explanation:
[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]
One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2
Answers
Answer: shoulb be to the thirs 4/8
Step-by-step explanation:
What is the amount of discount?
(100 pts)
Answers
[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]
[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]
[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]
[tex]\\ \sf\longmapsto Discount=375/100[/tex]
[tex]\\ \sf\longmapsto Discount=3.75[/tex]
Answer:
discount = $3.75
Step-by-step explanation:
Given:
[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]
Multiply both sides by 100 to eliminate the denominators:
[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]
Divide both sides by 10:
[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]
Carry out the multiplication on the right side:
[tex]\implies \sf discount \times 10=\$37.50[/tex]
Divide both sides by 10:
[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]
[tex]\implies \sf discount=\$3.75[/tex]
Given f(x)=5x-3, find f(-3)
Answers
f(-3)=5(-3)-3
f(-3)=-15-3
f(-3)=-18
ur answer is -18
Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
Help please! I do not understand
Answers
If Marlene can type 157 words per minute how many words can she type in 25 minute
Answers
Answer:
3925
Step-by-step explanation:
25x
25*157
How would 1.047 be written as a percentage form?
Answers
Answer:
104.7%
Step-by-step explanation:
When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:
1.047 = 104.7%
And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.
~
please help with this
Answers
Answer:
Step-by-step explanation:
The perimeter of a circle is 2πr
r here is 7 so the perimeter of the full circle is 14π which is 43.9822972
But you only have half a circle, so 43.9822972 / 2 = 21.991148.
But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm
The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-
Answers
Answer:
24p-8
Step-by-step explanation:
Perimeter just means add up all the sides
(10p+6)+(2p-10)+(10p+6)+(2p-10)
= 24p-8
joe mammamamamamamaamamamma
Answers
Answer:
this joke is getting old lol
Step-by-step explanation:
$1,000 invested at 8% compounded semiannually after a period of 2 years
Answers
Answer:
1160 will be the new amount after 2 years
Step-by-step explanation:
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Therefore 1160 is the new amount after two years.
If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p
Answers
Answer:
Angle 1 = 110
Angle 2 = 110
Angle 3 = 70
Angle 4 = 70
Step-by-step explanation:
Angles 1 and 2 are corresponding angles, and therefore congruent
Angles 2 and 3 are same-side interior angles, and therefore supplementary
Angles 3 and 4 are alternate interior angles, and therefore congruent.
Answer:
Angle 2: 110
Angle 3: 70
Angle 4: 70
A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row
Answers
5 Rows in each layer
5 in each row
25+25+25+25+25=125
Please answer without a link.
Answers
Answer:
D) 15/4+5.4
Step-by-step explanation:
W to the 3rd power over W to the -2 power
Answers
Answer:
[tex]w^{5}[/tex], w to the power of 5
Step-by-step explanation:
[tex]\frac{w^3}{w^-2}[/tex]
When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]
Hope this helps!
2. Which statement is true? (1 point)
O All quadrilaterals are rectangles.
O All quadrilaterals are squares.
O All rectangles are quadrilaterals.
O All quadrilaterals are parallelograms.
Answers
Answer:
the third one
Step-by-step explanation:
all rectangles have 4 sides therefore a quadrilateral
Answer:
3
Step-by-step explanation:
Rectangles require 4 sides and 90 degree corners, a quadrilateral requires 4 sides. So rectangles fulfill the quadrilateral's condition, but quadrilaterals can't always fulfill other forms' condition.
Twenty-nine lots of p=
Answers
Answer:
29p
Step-by-step explanation:
pretty simple
Answer:
29p
Step-by-step explanation:
you
take
p
multiply
by
29
and
the
answer
is
29p
g
Pat a
mber
4. In a hockey league, 87 players play on seven
different teams. Each team has at least 12
players. What is the maximum number of players
on any one team?
Answers
Answer:
15
Step-by-step explanation:
since there is 7 teams and 12 can be the minimum we can do 7 x 12=84
this means that 3 people could possibly be on one single team.
the maximum number is 12+3=15
someone please help me
Answers
Answer:
(a) A is steeper; 4/5 > 2/5
Step-by-step explanation:
The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.
The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...
slope = rise/run = 2/5
This eliminates choice C.
The correct description of the relationship is the first one:
Equation A has a steeper slope, because 4/5 is greater than 2/5.
tell me what u think of this edit. be honest
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Answers
its alright, not the best but its good.
Answer:
very nice!
Step-by-step explanation: