The longer side of the triangle is 17√3 yd. Therefore, option D is the correct answer.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Given that, the length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long.
Let the longer side of the triangle be x.
We know that, tanθ = Opposite/Adjacent
tan60° = x/17
√3=x/17
x=17√3 yd.
Therefore, option D is the correct answer.
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f(x)=2x2+3x−1 and g(x)=3x+4. Find g(f(x)).
Answer:
6x²+9x+1
Step-by-step explanation:
Check out the attached photo
ASNWER QUICK WILL MARK BRAINLESIT! WORTH 84 BRAINLY POINTS THANKS
A 56°
B 73°
C : 51°
D 107
Answer:B 73
Step-by-step explanation:
What is the quotient of 4.56 × 109 by 6.23 × 1011?
The quotient is
times 10 to the
power.
Answer:
7.319 x 10^-3
Step-by-step explanation:
4.56 * 10^9 / 6.23 * 10^11 = .7319 x 10^-2
Answer:
The quotient is 7.3194 times 10 to the -3 power.
Step-by-step explanation:
Got the question right. EDGE 2022.
An investment of $1,500 is earning 7% simple interest each year how much will the investment be worth after one year
Answer:
1500 * 0.07 = 105
105 + 1500 = 1605
Step-by-step explanation:
please helpppppp meeeee!
Answer:
It's 1 pint
Step-by-step explanation:
If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups
Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
Find the length of the segment with endpoints at (2, 7) and (8, -1). using the formula below.
Answer:
10
Step-by-step explanation:
Let (2, 7) = [tex](x_{1} ,y_{1} )[/tex] and (8, -1) = [tex](x_{2} ,y_{2} )[/tex]
= [tex]\sqrt{(8-2)^{2} + (-1 -7)^2}[/tex]
= [tex]\sqrt{6^2 +(-8^2)}[/tex]
= [tex]\sqrt{36 + 64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.
Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :
Given the endpoints [tex](x_1,y_1), (x_2, y_2)[/tex]
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given in the question,
[tex](x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)[/tex]
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10[/tex]
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PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
315°
Step-by-step explanation:
∠HCG = 180° - 60° - 75° = 45°∠DCH = 360° - 180° - 45° = 135°Finding m∡DHE
∠DCH + ∠HCG + ∠GCF + ∠ECF135° + 45° + 75° + 60°180° + 135°315°Answer:
m∡DHE = 315°
Step-by-step explanation:
Angles around a point always add up to 360°.
⇒ m∡DHE = 360° - m∡ED
= 360° - 45°
= 315°
which series of transformation shoes that triangle A is congruent to triangle D
You didnt put any images
Use the Pythagorean Theorem to find the missing side of the right triangle:
Answer:
9.165
Step-by-step explanation:
Pythagorean Theorem implies a^2 + b^2 =c^2
AC= hypotenus
AB= 4
CB= ?
10^2=4^2+CB^2
CB= √10^2-4^2
= 9.165
Find the measure of the exterior ∠1.
A. 60°
B. 80°
C. 150°
D. 90°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~
that is :
[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]
So, D is the correct choice ~
Step-by-step explanation:
As the sum of all angles of triangle is 180°
and we have been given 2 angles i.e 30° and 60°
So, Third angle will be 90°
Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)
Angle 1 = 90°
Which pairs of expressions below are equivalent? (Select all that apply)
5x + 3x − 2y and −2y + 8x
6x − 8x and 3(2x − 4y)
4x − 5y and 5y − 4x
5(2x − 3y) and 10x − 3y
x + y + x + y and 2( x + y )
Answer:
5x+3x-2y and -2y+8x
X+y+X+y and 2(X+y)
What is the answer ? Please help
Answer:
sqrt2/sqrt3; 1/sqrt3; sqrt5/2
Step-by-step explanation:
to solve this equation you can basically put paranthesis squared around all of the options
(sqrt2/sqrt3)^2 becomes simply 2/3
(1/sqrt3)^2 becomes simply 1/3
(pi/3)^2 becomes a decimal that is not rational
[(sqrt5)/2]^2 becomes simply 5/4
the first, second, anad last are all rational
Experimental & theoretical probability
Answer: I don't see the paper very well.
Step-by-step explanation:
Find BC in angle ABC
Round to the nearest tenth.
BC=?
Answer:
BC ≈ 18.7
Step-by-step explanation:
using the sine rule in Δ ABC
[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )
[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )
BC × sin80° = 20 × sin67° ( divide both sides by sin80° )
BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )
9x10^4 in standard form
Answer:
90,000
Step-by-step explanation:
So a scientific notation is written as [tex]N*10^k[/tex]
So in this scientific notation its just equivealent to saying
[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]
Help please i don't want to get held back
Let total data be x GB
then
4% of x = 1.2GB
4% × x = 1.2
0.04 x = 1.2
x = 1.2 / 0.04
x = 120 ÷ 4 = 30 GB
please help! its do by 3:55pm! im only at 20! johns test averages 69,86,100,and 105 what is his average?
Answer:
90
Step-by-step explanation:
In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.
69+68+100+105=360
360 ÷ 4 = 90
John's average is 90.
Brainliest please?
suppose there are 30 bacteria in a bottle .the number of bacteria doubles every hour.
how many will there be after 7 hours?
is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.
Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
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Jaden is studying abroad for a semester.
He can choose the first semester or second
semester, then choose France, Spain,
Germany, Italy, or Japan.
Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the semester, he has 2 possible options, hence [tex]n_1 = 2[/tex].For the country, he has 5 possible options, hence [tex]n_2 = 5[/tex].The total number of options is given by:
N = 2 x 5 = 10.
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Which of the given set of angles CANNOT form a right triangle?
a
30º, 90º, and 60º
b
90º, 45º, and 45º
c
22º, 22º, and 136º
d
35º, 55º, and 90º
Answer:
The answer for your question is C. 22°, 22°, and 136°.
Explanation:
A right triangle will always have one angle that is 90°.
All of the other options have a 90° angle, so your answer is C.
Hope this helps!
The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.
The volume of the prism which is filled with 135 cubes is 5 cubic feet.
What is the Volume of Cube ?
The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.
Here Prism is filled with 135 cubes.
Volume of prism = volume of 135 cubes
= 135 X side X side X side
= 135 X 1/3 X 1/3 X 1/3
= 135 / 27
Volume of prism = 5 cu. feet
Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.
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What is the difference? startfraction x over x squared 3 x 2 endfraction minus startfraction 1 over (x 2) (x 1) endfraction startfraction x minus 1 over 6 x 4 endfraction startfraction negative 1 over 4 x 2 endfraction startfraction 1 over x 2 endfraction startfraction x minus 1 over x squared 3 x 2 endfraction
Answer:
choose D
Step-by-step explanation:
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
Answer:
15cm²
Step-by-step explanation:
Formula of a triangle:
½ × base × height
= ½ × 5 × 6
= 15 cm²
Hope this helps =)
Answer:
15 cm squared :)
Step-by-step explanation:
Area of triangle: b(h)/2
Now lets solve!!
5(6)/2
30/2
15
Have an amazing day!!
Plerase rate and mark brainliest!!
The dimensions of an isosceles triangle are shown.
28.4 m
25.6 m
12.3 m
*not drawn to scale
To the nearest tenth, what is the area of the triangle?
O A. 157.4 m2
OB. 314.9 m2
OC. 349.3 m2
OD. 363.5 m2
Answer:
B. 314.9 m2
Step-by-step explanation:
Cohen mailed a letter on Monday morning. The letter has to travel 12 1/2 miles to reach it's destination.
The letter traveled 2 1/4 miles on Monday and traveled an additional 7 1/12 miles on Tuesday.
How far did the letter travel on Wednesday to reach it's destination?
Answer:
2 3/4 miles
Step-by-step explanation:
Remaining miles are found by subtracting miles already traveled from the number that need to be traveled.
__
12 1/2 - 2 1/4 - 7 1/2
= (12 1/2 -7 1/2) -2 1/4
= 5 -2 1/4 = 2 3/4
The letter traveled 2 3/4 miles on Wednesday to reach its destination.
Can someone please help ASAP An online video store charges a monthly fee of $10, plus $2 for each video rental. Which graph below best
represents the relationship between the number of video rentals and the total monthly cost?
Using linear function concepts, it is found that graph A is the one that best represents the relationship.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:
y = 2x + 10.
Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.
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Which statements are true? select three options. (the formula for the area of a triangle is a = one-halfbh.) bc = 6 cm ac = 5 cm ba = 4 cm the perimeter of triangle abc = 12 cm. the area of triangle abc is one-third the area of triangle def.
The area of the triangle is the half of the product of base and height then the correct option is A.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Points A, B, and C are midpoints of the sides of the right triangle DEF.
Then the area of the triangle is given as
Area of the triangle = half of the product of base and height
That can be written as
[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]
Thus, the correct option is A.
More about the triangle link is given below.
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Answer:
B,C,D
Step-by-step explanation:
What is the value of ?
Enter your answer in the box.
___cm
Answer:
5
Step-by-step explanation: