A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.
Answers
Answer
let the triangle be supposed ABC
where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree
the base side of triangle is 6cm which means ;
By taking angle A as reference angle
Hypotenuse = AC = x(let)
perpendicular = BC
base = AB = 6 cm
then by taking base and hypotenuse
b/h = AB/AC
or, cos (30 degree)= 6/ x
x =[tex]4\sqrt{x} 3[/tex] cm
that concluded that AC = [tex]4\sqrt{3}[/tex] cm
Now,
by phythagorous theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]
so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm
Step-by-step explanation:
Related Questions
hey! please help explaining this!!
Answers
Answer:
a
Step-by-step explanation:
correct anwer is A
Martin recorded the low temperatures at his house for one week. the temperatures are shown below -
-7, -3, 4, 1, -2, -8. 7
Approximately what was the average low temperature of the week?
Answers
Answer:
The average temp was 4
Step-by-step explanation:
A square has a perimeter of 36 inches and a smaller square has a side length of 4 inches. What is the ratio of the areas of the larger square to the smaller square?
Answers
Answer:
3:2
Step-by-step explanation:
a square has the same side lengths so just √36 = 6 to find the sides of the squares then compare the two sides in ratio form 6:4 then reduce
The highest temperature in Las Vegas is 125 degrees Fahrenheit and the lower recorded temperature in Las Vegas is 50 degrees Fahrenheit below zero what is the difference between these two temperatures
Answers
Answer:
175 degrees Fahrenheit
Step-by-step explanation:
We are to find the difference between the two temperatures
125 - (-50)
two minuses gives a plus
125 = 50 = 175
The distance between two cities on a map measure 3.71 inches. The scale on the map shows that 2 inches is equal to 50 miles. How many miles apart are the two cities
Answers
Answer:
92.75 miles
Step-by-step explanation:
3.71 / 2 = 1.855
1.855 * 50 miles = 92.75 miles
Streaming movies from Company A costs $3 per month per movie plus a monthly fee of $9. Streaming movies from Company Bcost $4 per movie with no monthly fee. The monthly cost to stream depends on the number of movies, m streamed. Which inequality represents the situation when the montly cost at Company A is less than the montly cost at Company B.
Answers
Please please help please please ASAP ASAP please ASAP help please please ASAP please please help ASAP ASAP please please help please please ASAP please
Answers
Answer:
7
Step-by-step explanation:
The two lengths (4x-7 and x+14) are the same. This is because if we look at the big trapezoid as a whole, the ratio of the three segments on the side (4, 4, 4) is the same as the ratio of the three lengths on the other side. Therefore the ratio of the two lengths would be the same as well, 1:1. (btw the photo that I attached is what I mean by the two sides). So, we can form the equation: 4x-7 = x+14. The steps to solve the problem:
4x-7 = x+14
3x=21
x=7
The value of x is 7!
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW
Answers
Answer:
calm down rosie.... it's okay to not be too good at math... take Justin Timberlake. in the show "Friends with Benefits" he's horrible at math but good at life. so don't worry too much. You are still a good person.. even if you're bad at math :P
Step-by-step explanation:
now for the math part
as below
What is the probability that a randomly selected bottle is correctly placed and a Plastic #4 bottle?
A. 1/2
B. 1/3
C. 1/4
D. 1/6
Answers
Answer:
1/4
Step-by-step explanation:
If x=6, what is the smallest natural number y that makes x2+y2 rational?
Answers
Given: If x=6, what is the smallest natural number y that makes x2+y2 rational .
To Find: Smallest value if y so that the expression is rational .
Solution : On substituting x = 6 , we have
[tex]=> x^2+y^2= 6^2+y^2\\\\ x^2+y^2= 36+y^2[/tex]
Now for the whole expression has minimum value y^2 should be minimum , also y should be natural no. The set of Natural no. is ,
[tex]=> N=\{ 1,2,3,4,... ..,\infty\}[/tex]
Therefore the smallest Natural no. is 1 . Therefore minimum value of y is 1.
The minimum value of y is 1.
Help help help! This is 40% of my grade and i am stuck.
FIND THE MEASURES OF THE INTERIOR ANGLES
Answers
Answer:
Angle A=68
Step-by-step explanation:
68+x+(x-24)=180
68+x+x-24=180
2x+44=180
2x=136
x=68
Solve the system by substitution.
x – 4y = -8
5у – 1 = x
Submit Answer
Answers
Answer:
y = -7 and x = -36
Step-by-step explanation:
x - 4y = -8
5y - 1 = x
→ Substitute 5y - 1 into x - 4y = -8
5y - 1 - 4y = -8
→ Simplify
y - 1 = -8
→ Add 1 to both sides
y = -7
→ Substitute y = -7 into 5y - 1
( 5 × -7 ) - 1 = -36
Answer:
The solution is (-36, -7)
Step-by-step explanation:
Since 5y - 1 = x, we can replace x in the first equation by 5y - 1:
5y - 1 - 4y = -8
Collecting like terms, we get:
y = -7
If y = 7, then by the second equation x = 5(-7) - 1 = -36
The solution is (-36, -7)
Use the drop-down menus below to represent the solution to the system of the two linear equations shown on the graph. The graph's x-axis ranges from negative 10 to 10, and the y-axis ranges from negative 10 to 10. The solution to the system of equations is ( , ). Question 2 Part B Which statement is true about the point that represents the solution to the system of the two linear equations shown above? A The point is the solution because it represents a point of intersection with the $x$ -axis. B The point is the solution because it represents a point of intersection with the $y$ -axis. C The point is the solution because it is the only point that satisfies both equations simultaneously. D The point is the solution because it is one of several points that satisfies both equations simultaneously.
Answers
Answer:
is D
Step-by-step explanation:
because it just makes more sense and my teacher told me the answer
Select the correct answer.
If the parent function RX) = x2 is modified to g(x) = 2x + 1, which statement is true about g(x)?
ΟΑ. .
It is an even function.
ОВ.
It is an odd function,
OC. It is both an even and an odd function.
OD.
It is neither an even nor an odd function.
Answers
Find the surface area of the square pyramid shown below.
(15 points)
Answers
Answer:
340
Step-by-step explanation
Base=10x10=100
Sides= {(12x10)/2}x4=240
Add sides plus base, 240+100=340
Help please I’m trying to go to sleep
Answers
Answer: y > -4 (red)
Step-by-step explanation:
Which of the following scatterplots do not show a clear relationship and would not have a trend line?
Answers
Answer:
B
Step-by-step explanation:
The graph does not form a obvious line and therefore is the answer.
Answer:
The answer is B i got it right.
Step-by-step explanation:
Need help solving this problem.
Answers
Answer:
The measure of angle CDE is 37 degrees
Step-by-step explanation:
Emily is giving candy to 8 of her friends. She wants to give each friend 2/3 of a chocolate bar. How many whole chocolate bars does she need?
Answers
Answer:
she needs 1/3 chocolate bars
Step-by-step explanation:
8 × 2/3
=5 1/3
The greatest snowfall in a 24- hour period was 76 inches. Which of these is the same as 76 inches?
A. 6 1/3 feet
B. 2.5 yards
C. 7.6 feet
D. 2 1/3 yards
Answers
Answer:
the answer is A. 6 1/3 feet
Step-by-step explanation:
There are 12 inches in a foot. 12 x6=72 r of 4
there are 12 inches in a foot 12÷4=3. 1/3 of a foot
6 + 1/3= 6 1/3
Solve the logarithmic equation with Properties of Logs
Answers
Answer:
Simplifying
logx + -4 = 0
Reorder the terms:
-4 + glox = 0
Solving
-4 + glox = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + glox = 0 + 4
Combine like terms: -4 + 4 = 0
0 + glox = 0 + 4
glox = 0 + 4
Combine like terms: 0 + 4 = 4
glox = 4
Divide each side by 'lox'.
g = 4l-1o-1x-1
Simplifying
g = 4l-1o-1x-1
Answer:
[tex]x=40000[/tex]
Step-by-step explanation:
[tex]log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000[/tex]
5/7+1/2+3/4
i need help please
Answers
Answer:
1.96428571429
Step-by-step explanation:
Answer:
55/28
Step-by-step explanation:
5×2+7/14+3/4
17/14+3/4
68+42/56
110/56
55/28
A locker is in the shape of right rectangular prism. Its dimensions are as shown. What is the surface area of this locker?
a.412
b.392
c.432
d.448
The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.
what is the surface area of the cylinder in terms of pi?
a.96
b.118
c.112
d.128
Answers
Answer:
first one is 432
Step-by-step explanation:took the test and got it right
The height and depth of locker is 40 inch and 5 inch.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
As per the known fact, volume of rectangle is calculated by multiplying the entities width, height and depth. Let us assume the depth be d.
So, the height is 4d. Keep the values in formula to find the value of depth.
10800 = 12 × d × 4d
4d² = 10800 ÷ 12
Performing Division
4d² = 900
d² = 900 ÷ 4
Performing Division
d² = 225
d = ✓225
Taking square root
d = 15
The depth of locker is 15 inch.
So, the height = 4d
Height = 4 × 15
Performing multiplication
Height = 60 inch
Therefore, the depth and height of locker is 15 inch and 40 inch.
Learn more about volume of prism -
brainly.com/question/23963432
#SPJ3
complete question:
A locker in the shape of a rectangular prism has a width of 12 inches. Its height is four
times its depth. The volume of the locker is 10,800 cubic inches. Find the height and depth of the locker.
Height:
Please help.
Is algebra.
Answers
Answer:
#4 is B
#5 is also B
Step-by-step explanation:
i big brain
Answer:
4. b) [tex]4x^2-20xy+25y^2[/tex]
5. b) [tex]x^2+14x+49[/tex]
Step-by-step explanation:
4. [tex](2x-5y)^2[/tex]
First, one must rewrite the exponential equation as a multiplication problem,
[tex](2x-5y)(2x-5y)[/tex]
Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,
[tex]=(2x-5y)(2x-5y)\\\\=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)[/tex]
Now simplify the given expression,
[tex]=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)\\\\=4x^2-10xy-10xy+25y^2[/tex]
Combine like terms,
[tex]=4x^2-20xy+25y^2[/tex]
5.[tex](x+7)^2[/tex]
To solve this problem, one should follow the same series of steps as they did to solve the last expression. First, rewrite the exponential expression as a multiplication problem.
[tex](x+7)(x+7)[/tex]
Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,
[tex]=(x)(x)+(7)(x)+(7)(x)+(7)(7)[/tex]
Simplify the expression,
[tex]=(x)(x)+(7)(x)+(7)(x)+(7)(7)\\\\=x^2 + 7x + 7x + 49[/tex]
Finally, combine like terms,
[tex]=x^2+14x+49[/tex]
will mark brainliest also its not 6 and 5
Answers
Ice cream consumption was measured over 30 four-week periods from March 18, 1951 to July 11, 1953. The purpose of the study was to determine if ice cream consumption depends on the variables price, income, or temperature. For this HW question, we want to see if the temperature (temp) affects the ice cream consumption (IC). Attached is the output from the simple linear regression of temperature on ice cream consumption. What percentage of change in ice cream consumption can be explained by temperature
Answers
Answer:
Log Linear Model : log y = a + bx. Slope 'b' represent % change in ice cream sale, due to unit change in temperature.
Step-by-step explanation:
Assuming a log linear regression model, with dependent variable 'y' ie Ice cream sale & independent variable 'x' ie temperature sale.
In form of regression, log y = a + bx {a = intercept}. Here, slope b represents response of one unit change (Increase) in temperature leading to b% change (ie rise) in ice cream consumption. Slope coefficient 'b' is likely to be positive, as temperature & ice cream sale are likely to be directly related, higher temperature (hot weather) imply high ice cream sale, & vice versa less sales for lower temperature (cool weather)
A triangle has sides with lengths of 14 feet, 48 feet, and 50 feet. Is it a right triangle?
Answers
Answer:
Yes, it is a right triangle
Step-by-step explanation:
Answer: Yes it is
Note that a right triangle is a triangle with a right angle.
A function whose graph goes down (falls) as it is followed from left to right is said to be a ____ function.
first two letters de
Answers
Decreasing
Explanation:
5 cups of coffee and 2 bottles of water cost $12 4 cups of coffee and 7 bottles of water cost $15
help plss
Answers
Answer:
one cup of coffee costs $2, while one bottle of water costs $1
Step-by-step explanation:
We can represent this using two equations:
Variable x represents cups of coffee, and variable y represents bottles of water.5x + 2y = 12
4x + 7y = 15
Your answer for the value of x and y should be
x = 2
y = 1
Therefore, one cup of coffee costs $2, while one bottle of water costs $1.
area = ___ square units
Answers
Answer:
9 square units
Step-by-step explanation:
Area of a square = base * height
= 3*3
= 9
3*3=9
Area= width* length
width= 3
length= 3
width Length
3 * 3