Answers
Answer:
2 + √3.
Step-by-step explanation:
tan 75 = tan (45 + 30)
= (tan 45 + tan 30) / (1 - tan 45 tan 30)
= ( 1 + 1/√3) / (1 - 1*1/√3)
= (1 + √3) / √3 * √3 / (√3 - 1)
= √3 + 1/ √3 - 1
Multiply top and bottom by √3 + 1;
= (√3 + 1)(√3 + 1) / (√3 - 1)(√3 + 1)
= 3 + 2√3 + 1 / (3 - 1)
= (4 + 2√3) / 2
= 2 + √3.
Related Questions
How do I get to -19 from -6
Answers
Answer:
You can easily find 6 is out of 19
Explanation:
in one step, by simply dividing 6 by 19, then multiplying the result by 100. So, 6 is out of 19 = 6 / 19 x 100 = 31.578947368421%
Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.
Answers
The cost of a brush, a sketchbook, and a paint set will be $ 2.38, $ 14.3, and $ 19.067 respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Genevieve brought $35.75 to the art supply store.
She bought a brush, a sketchbook, and a paint set.
Let x be the cost of the paint set.
The sketchbook cost 3/4 the cost of the paint set. Then the cost of the sketchbook will be
[tex]\rightarrow \rm \dfrac{3x}{4}[/tex]
The brush was 1/6 as much as the sketchbook. Then the cost of the brush will be
[tex]\rightarrow \rm \dfrac{3x}{4} \times \dfrac{1}{6}=\dfrac{x}{8}[/tex]
Then the value of the paint set will be
[tex]\begin{aligned} \dfrac{3x}{4} +\dfrac{x}{8} + x &= 35.75\\\\\dfrac{15}{8}x &= 35.75\\\\15x &= 286\\\\x &= \$ 19.067 \end{aligned}[/tex]
Then the cost of the sketchbook will be
→ 3 × 19.067 / 4 = $ 14.3
Then the cost of the brush will be
→ $ 2.38
More about the linear system link is given below.
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Please answer as fast as you can
Answers
Answer:
d = 3072.2 ft
Step-by-step explanation:
Circumference of circle:Circumference of circle = 9687 ft
πd = 9687
[tex]\sf \dfrac{22}{7}*d = 9687\\[/tex]
[tex]d = 9687 * \dfrac{7}{22}\\\\d = 3082.2 \ ft[/tex]
3(8w + 6) write the expression in two other ways
need help asap
Answers
Answer:
1) 24w + 18
2) 6(4w + 3)
Step-by-step explanation:
Explanation for 1)
Use the Foil method for factoring by multiplying each number inside the bracket [8w + 6] by the number outside the brackets [3]
3*(8w + 6)
3 * 8w + 3 * 6
= 24w + 18
Explanation for 2)
By using the final product in 1) [24w + 18], we can facour it further by using GCF (Greatest Common Factor)
We have to determine first what is the greatest common factor of 24w, and 18
Its 6
So we use 6, and divide it by what we got in explanation 1 to find our 2nd way of writing the expression
24w/6 + 18/6
= 6(4w + 3)
Don't forget to put whatever you divided those numbers by outside of the bracket
Hope this helps :)
Answer:
Step-by-step explanation:
Given
3(8w + 6)
Question
Write in 2 different ways.
Method One
Use the distributive property to remove the brackets.
3(8w + 6) Given. Remove the brackets. Notice both results
3*8w + 3 * 6 Combine
24w + 18
Method 2
Take out another common factor. 2 is another common factor.
3(8w + 6)
3*2 (4w + 3) Combine
6 ( 4w + 3)
Need help with this quick. Find the measure of B and the value of z if ABC~DEF.
Answers
And B = 45
This is because all angles in any triangle is equivalent to 180 degrees. When you have a similar triangle, the angle measures remain consistent, only the side lengths change. Therefore, we know that:
Angle D = 105 degrees
Angle C = 30 degrees
And angle B = (10z - 5) degrees
105 + 30 = 135
180 - 135 = 45
10z - 5 = 45
10z = 50
z = 5
So, angle B = 45 and z = 5
simplify the expression
Answers
Answer:
sin²x OPTION D
Step-by-step explanation:
sorry for the bad handwriting lol
What is (f–g)(x)?
f(x)=
–
2x2+10x
g(x)=
–
3x2
Answers
Answer:
What is (f–g)(x)?
f(x)=
–
2x2+10x
g(x)=11
–
3x2
12
Step-by-step explanation:
7.) The online book is $29.00 but the tax and shipping is another 25%. What will it cost me with the tax and shipping?
Answers
Answer:
$36.25
Step-by-step explanation:
Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25
Thus, total will be 29 + 7.25 = $36.25
∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and arc CA = 170° , what is the measure of ∠ AEC?
A)120
B)240
C)70
D)100
Answers
So
mCA=170°And
mBD=70°Now
180-170=10°From mBD
70-10=60°Now
m<AEC
70+50=120°Option A
The net of a triangular prism is shown. Use the ruler provided to measure the dimensions of the net to the nearest half centimeter. What is the total surface area of the rectangular prism in square centimeters?
Answers
If the area of the triangle and the rectangle is 4 square cm and 2 square cm. Then the total surface area of the triangular prism will be 14 square cm.
What is a triangular prism?A closed solid with two parallel triangular bases joined by a rectangle surface is known as a triangular prism.
The total surface area of the triangular prism will be
Total surface area = 2(area of the triangle) + 3(area of the rectangle)
The area of the rectangle will be
Rectangle area = 2 x 1
Rectangle area = 2 square cm
The area of the triangle will be
Triangle area = 0.5 x 4 x 2
Triangle area = 4 square cm
Then the total surface area will be
Total surface area = 2 x 4 + 3 x 2
Total surface area = 8 + 6
Total surface area = 14 square cm
More about the triangular prism link is given below.
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can yall help me with this?
Thank you!
Answers
Answer:
1260 degrees (1260°)
Step-by-step explanation:
Formula to Find Sum of Interior Angles of a Polygon
180 (n - 2)n is the number of sides of the polygonNonagon (9-sided polygon)
180 (9 - 2)180 × 71260 degrees (1260°)Find the surface area
Answers
Answer: 343.5
Step-by-step explanation: multiply 15 * 17 and you get 255 then divide that by 2 and you get 127.5.
Next you multiply 8 by 27 (which is 216)
Now add 127.5 and 216 and you get 343.5
Determine algebraically the zeros of f(x)=3x3+ 21x2+36x
Answers
Answer:
x = 0
x = -4
x = -3
Step-by-step explanation:
Hello!
First, lets factor out 3x (GCF) from the whole expression:
[tex]f(x) = 3x^3 + 21x^2 + 36x[/tex][tex]f(x) = 3x(x^2 + 7x + 12)[/tex]Factor the polynomial by grouping:
[tex]f(x) = 3x(x^2 + 7x + 12)[/tex][tex]f(x) = 3x(x^2 + 3x + 4x + 12)[/tex][tex]f(x) = 3x(x(x+3) + 4(x + 3))[/tex][tex]f(x) = 3x(x + 4)(x + 3)[/tex]Set the expression and each factor to 0, and solve for x:
[tex]0 = 3x(x + 4)(x + 3)[/tex]3x = 0
x = 0x + 4 = 0
x = -4x + 3 = 0
x = -3There are 3 roots for this equation: 0, -4, and -3.
Jenny reads a book with 92 pages. Jenny's book has 13 more pages than the book Macy reads. Which equation could you solve to find how many pages, m, Macy's book has?
a m+13=92m plus 13 is equal to 92
b m=92+13m is equal to 92 plus 13
c 92m=1392 m is equal to 13
d 13m=92
Answers
All you do is change M+13=92 by subtracting 13 on both sides so that 13 cancels out on the left and 13 pages are subtracted from 92, and then you get your answer, which is m=79.
You can check your work by adding 13 and 79, and then you will know that that answer is correct
A quadrilateral is inscribed in a circle two of the angles are 33° and 57°. Which statements are correct?
Answers
Answer:
Step-by-step explanation:
Remark
If you are given choices, you should quote them; Otherwise we are guessing. I will give you some some choices.
The two angles are next to each other. They cannot be opposite one another. Opposite angles are supplementary. These two angles are do not add to 180this is the net of a triangular prism. to calculate the lateral surface area you should add the areas of which sides?
A. B,C, and D
B. A,C, and E
C. A,B,C,D, and E
D. A and E
Answers
Option A. is correct. To calculate the lateral surface area triangular prism, the sides B, C and D are need to be added to calculate the area.
What is triangular prism?A triangular prism is "a polyhedron made up of two triangular bases and three and three rectangular sides. It has 5 faces, 6 edges and 9 vertices".
According to the question,
Formula for lateral surface area = (a +b +c)h where a, b, c are perimeter of base and 'h' is height of the triangular prism.
From the given triangular prism has B, C and D are perimeter of base.
Hence, to calculate the lateral surface area triangular prism, the sides B, C and D are need to be added to calculate the area.
Learn more about Triangular prism here
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6. Cristiano scored 50 out of 60 points on a recent math test. Did Cristiano score higher than an
80% on this test? Justify your answer.
Answers
Answer: Cristiano scored an 83%
Step-by-step explanation:
1.) plug in 50/60 into a calculator to get the percentage
Which function represents a linear function
Answers
Answer:
D. y = -4/5x + 10
Step-by-step explanation:
If you graph it, whether that be on paper or typing the equation out on a website so it can do the graphing for you, it's a straight line with a negative slope unlike the other choices. Therefore, it's a linear function. A quick tip is that, usually, a linear function can be easily shown in the form of y = mx + b (slope-intercept form), and that's the exact form y = -4/5x + 10 is in. y being y (dependent variable, or result/output), -4.5 being m which represents the slope, x being x (independent variable, or input), and +10 being b which represents the y-intercept. If the x is in the denominator like in y = 5/x - 3, it's very likely that it's not a linear function.
find the area of the figure
Answers
Answer:
look at the photo
...................................
Find the surface area of the pyramid. The side lengths of the base are equal.
pls help D:
Answers
Hi!! :D
Answer:
I got 177.46
Step-by-step explanation:
I just used a surface area calculator!
So sorry if this is wrong!
Have a great day! <3
[tex]\sf Solve\: this \: with\; steps:-[/tex]
[tex]\bf 4-7x=1-6x[/tex]
Answers
Answer:
x = 3
Explanation:
⇒ 4 - 7(x) = 1 - 6(x)
⇒ -7(x) + 6(x) = 1 - 4
⇒ -(x) = -3
⇒ x = 3
Check:
4 -7(3) = 1-6(3)4 - 21 = 1 - 18-17 = -17Hence, x = 3 confirmed as L.H.S = R.H.S
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \:4 - 7x = 1 - 6x[/tex]
[tex]\qquad \sf \dashrightarrow \:4 - 1 = 7x- 6x[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3[/tex]
so, we got the value of x as 3
Which statement is FALSE?
Answers
copy and complet the table compare the values of 2^x-2 with the values of 2^x-2
Answers
#2^(x-2)
For 2
2^(2-2)=2⁰=1For 3
2^(3-2)=2For 4
2^(4-2)=2²=4For 5
2^{5-2}=2³=8For 6
2^{6-2}=2⁴=16#2^x-2
For 2
2²-2=2For 3
2³-2=6For 4
2⁴-2=14For 5
2⁵-2=30For 6
2⁶-2=62Answer:
[tex]\large \begin{array}{| l | c | c | c | c | c |}\cline{1-6}x & 2 & 3 & 4 & 5 & 6\\\cline{1-6} 2^x-2 &2 &6 &14& 30 & 62 \\\cline{1-6} 2^{x-2} & 1&2 & 4& 8& 16\\\cline{1-6}\end{array}[/tex]
[tex]\large \text{$ 2^x-2 $}:[/tex]
[tex]x=2 \implies 2^2-2=2\\x=3 \implies 2^3-2=6\\x=4 \implies 2^4-2=14\\x=5 \implies 2^5-2=30\\x=6 \implies 2^6-2=62[/tex]
[tex]\large \text{$ 2^{x-2} $}:[/tex]
[tex]x=2 \implies 2^{2 -2}=1\\x=3 \implies 2^{3 -2}=2\\x=4 \implies 2^{4 -2}=4\\x=5 \implies 2^{5 -2}=8\\x=6 \implies 2^{6 -2}=16[/tex]
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.42, the sample proportion for sample has to be
0.42.
• A. True
B. False
Answers
Answer:
true because a =b = 0.42
Step-by-step explanation:
I hope it's helpful for you
Answer:
false
Step-by-step explanation:
−7 ≤ −4; add 11 to both sides
Answers
Answer:
4 < 7
Step-by-step explanation:
-7 + 11 =
11 - 7 =
4
-4 + 11 =
11 - 4 =
7
4 < 7
Answer:
4<=7
Step-by-step explanation:
-7<=-4
or, -7+11<=-4+11
Therefore 4<=7
Solve the equation for all values of x by completing the square.
x2 + 8.0 + 15 = 0
Answers
Answer:
x= -3
x= -5
Step-by-step explanation:
x^2 + 8x + 15 = 0
find which 2 numbers when multiplied equal 15 and when added equal 8
they are 3 and 5
(x+3)(x+5)
x+3 =0
x+5=0
x= -3
x= -5
Which statements are true? Check all that apply. The corresponding sides of similar triangles have proportional lengths. The corresponding sides of congruent triangles have the same lengths. The corresponding angles of similar triangles have different measures. If corresponding sides of two triangles are not the same length, the triangles are not similar. If corresponding sides of two triangles are not the same length, the triangles are not congruent.
Answers
How can I solve this and plot the inequality?
Answers
Answer:
I need more info
Step-by-step explanation:
4. A private swimming pool needs to have the side walls and the bottom resealed with waterproof coating. The pool is measured 16 m long, 8 m wide and 2 m deep. What is the area that need to be resealed?
[tex]solve[/tex]
Answers
Answer:
224 sq m
Step-by-step explanation:
We are basically finding surface area of a rectangular prism, minus the top side
[tex]2(2)(8) + 2(16)(2) + 16(8)[/tex]
Simplify:
[tex]32 + 64 + 128 = 224[/tex]
what kind of lines have no solution ot a system of equations
Answers
Answer:
When 2 lines are parallel they have no points in common so there would be no solution in the system. Even if a third line intersects the two parallel lines, there still would not be a solution to all 3 equations in the system.
Step-by-step explanation: I found this and it can help you!