Answers
Answer:
a = 7.5
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2a = 15 ( divide both sides by 2 )
a = 7.5
Related Questions
8 . In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
Answers
Answer:
Step 1
Step-by-step explanation:
Concepts:
When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.Solving:
Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.
(24 + 3 + 10) - 14 + 2
1. Add 24 and 3 together
(24 + 3 + 10) - 14 + 2(27 + 10) - 14 + 22. Add 27 and 10 together
(27 + 10) - 14 + 2(37) - 14 + 237 - 14 + 23. Subtract 14 from 37
37 - 14 + 223 + 24. Add 23 and 2 together
23 + 225Now, let's compare these steps to the ones given.
There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.
ILL GIVE A BRAINLISTYY HELP PLS
Answers
Answer:
?
Step-by-step explanation:
THIS IS SO HARD HELP PLEASE
Answers
Answer:
second one: EFG NML
THIRD: 82°
If (m,2m+1) is a solution of the equation x +3y=7, find the value of m
Answers
Answer: m = 4/7
Step-by-step explanation:
x = m
y = 2m+1
so
x+3y = 7
or, m+3(2m+1) = 7
or, m + 6m+3 = 7
or, 7m = 4
so m = 4/7
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
Answers
K = 5n/m
F=KE
K= F/E
= 10/5
K = 5n/m
PLEASE HELP!
Simplify.
x^2-3x-10/x+3/2x^2-7x-15/x^2-9
Answers
Answer:
3rd option, x^2-x-6/2x+3
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
Simplify the expression, then we have
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]
⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]
⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x - 5)]
⇒ [(x + 2)(x - 3)] / (2x + 3)
⇒ (x² - x - 6) / (2x + 3)
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
In a survey, 60 people were asked:
Here are the results.
Complete the table below with the view of drawing a pie chart.
Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper
Answers
Which angles are adjacent to each other?
Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8
Answers
Answer:
Angle 8 and angle 5 are the adjacent to each other
I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).
Answers
Answer:
C= 100+ d*0.2
Step-by-step explanation:
Give data
Cost of rental = $100
Cost per km= $0.2
Total cost= C
Distance= d
Let us model the expression
Hence the expression is given as
C= 100+ d*0.2
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
The formula for finding the area of a pentagon(regular) given 1 side is
A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]
s (the side) = 12
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]
Area = sqrt(5(5 + 2*2.2361) * 36
Area = sqrt(5( 5 + 4.4721)) * 36
Area = sqrt(5*9.4721) * 36
Area = sqrt(47.3606) * 36
Area = 6.882 * 36
Area = 247.7485
The area of the circle = pi r*2 but we don't have r.
If you know any trig, the formula for the radius of the circle is
R = s/(2*sin(180)/n) n = 5 because you are using a 5 sided figure.
R = 12/(2*sin(180/5)
R = 12/2* sin(36)
R = 6 / sin(36)
R = 10.207
So the area of the circle is pi * R^2
Area = 3.14 * 10.2078^2
Area = 327.1854
The area of the shaded part is the difference between the 2 areas we found
Answer: 327.1854 - 247.7485
Answer: 79.44
If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number
Answers
Answer:
should I fild the length of third side in this question ?
Answer:
If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.
Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)
Answers
Answer:
y = 11/5x - 32/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 9 / 2 - 7
-11 / -5
= 11/5
y = 11/5x + b
-2 = 11/5(2) + b
-2 = 22/5 + b
-32/5 = b
Which sequence of transformations produces R’S’T’ from RST?
On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
a 90degree clockwise rotation about the origin and then a translation 2 units left
a 90degree counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis
Answers
Answer:
A translation 2 units right and then a reflection over the x-axis
Step-by-step explanation:
The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)
The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)
The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST
A translation of ΔRST 2 units right gives;
(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;
(2, 0), (0, 3), and (-1, 1)
A reflection of the point (x, y) across the x-axis gives (x, -y)
A reflection of the above points across the x-axis gives;
(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1) reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'
Therefore, the sequence of transformations that produces R'S'T' from RST are;
A translation 2 units right and then a reflection over the x-axis
Answer:
D
Step-by-step explanation:
Took quiz
Write 9cm to 1m as a ratio
Answers
Answer:
1m=100cm
9:100
hope this helps
Answer:
9/100
Step-by-step explanation:
how many cm in a meter ?
100
so, 9 cm are 9 of 100 or 9/100
Find the interior angle sum for the following polygon
Answers
Answer:
360/ 5 is the answer
Step-by-step explanation:
follow me and please follow me
I will be marking brainliest please help me with these questions.
Answers
Answer/Step-by-step explanation:
1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:
Area of shaded region = area of triangle - area of rectangle
Area of shaded region = ½*base*height - length*width
1. a. Volume of triangular prism = area of triangular base * height of prism
Volume of triangular prism = ½bh * H
Where,
b = 6 m
h = 4 m
H = 8 m
Substitute
Volume of prism = ½*6*4*8
Volume of prism = 96 m³
b. Volume of sphere = ⁴/3πr³
Where,
r = 9 cm
Substitute
Volume = ⁴/3*π*9³
Volume = ⁴/3*π*729
Volume ≈ 3,053.6 cm³ (nearest tenth)
2. Use Pythagorean theorem to find the height of the cone
radius of the cone (r) = ½(16) = 8 cm
Slant height (l) = 11 cm
height (h) = ?
Using Pythagorean theorem, we have:
h = √(l² - r²)
Substitute
h = √(11² - 8²)
h = √(57)
h ≈ 7.5 cm (nearest tenth)
b. Volume of the cone = ⅓πr²h
where,
r = 8 cm
h = 7.5 cm
Volume = ⅓*π*8²*7.5
Volume = 502.7 cm³ (nearest tenth)
Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?
Answers
If she already has 12 signatures: 60 - 12 = 48
48/3 = 16
so, she and her friends need at least 16 signatures each.
p being person;
p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)
The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle.
Answers
Answer:
14√2 cmStep-by-step explanation:
Area of circle equation:
A = πr²Let the radius of bigger circle is x.
We have:
π(14²)*2 = πx²Solve for x:
x² = 2(14²)x = √2(14²)x = 14√2 cm19.8cm
Step-by-step explanation:
First find area of small circle:
A = πr2
A = 22/7 x 14 x 14
A = 22 x 2 x 14
A = 616cm2
Area of bigger circle is double that of the small circle:
= 616 x 2
= 1,232 cm2
πR2 = A
22/7 x r2 = 1,232
r2 = (1,232 x 7) ÷ 22
r2 = 8624 ÷ 22
[tex] \sqrt{r ^{2} } = \sqrt{392} [/tex]
radius of bigger circle = 19.8cm
Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?
Answers
I think the answer is c in which graph shown in the above
Answer:
see attached, x>=1
Step-by-step explanation:
If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of the sequence?
Answers
Answer:
[tex]Sum = 32[/tex]
Step-by-step explanation:
Given
Sequence = Consecutive Odds
[tex]T_7 = 9[/tex]
Required
The sum of the terms
A sequence of odd number has a difference of 2. So, the sequence is represented as:
[tex]S = \{-3,-1,1,3,5,7,9,11\}[/tex]
Add up all terms in the sequence
[tex]Sum = -3-1+1+3+5+7+9+11[/tex]
[tex]Sum = 32[/tex]
calculate interior angle of a regular 15 sided polygon
Answers
Answer:
156°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 15 , then
sum = 180° × 13 = 2340°
interior angle = [tex]\frac{sum}{n}[/tex] = [tex]\frac{2340}{15}[/tex] = 156°
you've been given 500 for your fencing
Answers
Answer: ok?
Step-by-step explanation:
Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)
Answers
consindering the equation ""yvariable m is the intercept ,,c constant
therefore from the equation by comparing...=mx+c where y
On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).
Which lists all of the x-intercepts of the graphed function?
(0, 6)
(1, 0) and (2, 0)
(1, 0), (2, 0), and (–3, 0)
(1, 0), (2, 0), (–3, 0), and (0, 6)
Answers
Answer:
Third option: (1, 0), (2, 0), and (–3, 0)
Step-by-step explanation:
The x-intercepts are the points at which the graph of the function crosses the x-axis.
By reading the question, we can see that:
"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."
So the x-intercepts are:
(-3, 0)
(1, 0)
(2, 0)
Then the correct option is the third one:
"(1, 0), (2, 0), and (–3, 0)"
Answer: Option 3
Step-by-step explanation: Got it right on Edge
Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
Answers
Answer:
C
Step-by-step explanation:
Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree
Answers
Answer:
the area sector is 123.2
HELP its not 64 I keep getting it wrong for some reason :(
instructions find the perimeter of the polygon
Answers
Answer:
Step-by-step explanation:
Starting on the left side
5 + 7 = 12
7 + 6 = 13
6 + 11 = 17
11 + 5 = 16
Total = 58
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answers
Answer: -1
Step-by-step explanation:
Look at the patter it has
Simplify the expression:
4m + 5 - 3m
Answers
Answer:
m+5
Step-by-step explanation:
4m + 5 - 3m
Combine like terms
4m-3m +5
m+5
Answer:
This equation simplified is [tex]m+5[/tex]
Step-by-step explanation:
To simplify this expression subtract 3m from 4m to get 1m or m.
What is the equation of the graph
Answers
Answer:
y=6^x-2
Step-by-step explanation:
Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation
