Answer:
[tex] x\approx 18.0[/tex]
Step-by-step explanation:
Here, a = 30, b = 16, C = x
By law of cosines
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos C \\ \\ {x}^{2} = {30}^{2} + {16}^{2} - 2 \times 30 \times 16 \: cos 30 \degree \\ \\ {x}^{2} = 900 + 256 - 960 \times \frac{ \sqrt{3} }{2} \\ \\ {x}^{2} = 1156 - 480 \times \sqrt{3} \\ \\ {x}^{2} = 324.615612 \\ \\ x = \sqrt{324.615612} \\ \\ x = 18.0170922 \\ \\ x \approx \: 18.0[/tex]
Please help asap please..ill give Brainliest
Answer:
There are no solutions
Step-by-step explanation:
Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations
Can someone help me please?
Answer:
(0, -10), (2, 0), (-2, -50)
Step-by-step explanation:
Plug in numbers for the x and solve for it
I will start with 0
y = 5(0 - 1)^2 - 5
y = 5(-1) - 5
y = -5 - 5
y = -10
2
y = 5(2 - 1)^2 - 5
y = 5(1) - 5
y = 5 - 5
y = 0
-2
y = 5(-2 - 1)^2 - 5
y = 5(-9) -5
y = -45 - 5
y = -50
You just keep plugging in numbers until your graph finds its shape. Of course, you can chart the numbers I have already found.
What is the length of the unknown side?
Answer:
use Pythagoras theorem
✓12x12+16x16
✓400
20
Answer:
20
Step-by-step explanation:
Hope this helped!
State the null and alternative hypothesis: The average score of 40 high school basketball games is less than 26
Answer:
[tex]H_o:\mu = 26[/tex]
[tex]H_a:\mu < 26[/tex]
Step-by-step explanation:
Given
Average score is less than 26
Required
Determine the null and alternate hypothesis
Since the average is said to be less than 26; that represents the alternate hypothesis.
The null hypothesis will be:
[tex]Average = 26[/tex]
So, we have:
[tex]H_o:\mu = 26[/tex]
And the alternate hypothesis
[tex]H_a:\mu < 26[/tex]
1/3x+7=3(x+2/3) show your work
Answer:
15/8
Step-by-step explanation
Answer:
x= 15/8
Step-by-step explanation:
1. Remove the parentheses.
2. Multiply both sides.
3. Move the terms
4. Collect like terms, calculate
5. Divide both sides
Can you help me with this? (easy)
Answer:
6. 18
7. 8
do the rainbow method
Answer:
The GCF of 36 and 90 is 18
The GCF of 16, 24, and 40 is 8
Step-by-step explanation:
If the midpoints of the sides of ∆EFG shown below were connected with line segments, what would be the perimeter of the resulting triangle? Explain how you arrived at your answer. *
Answer:
17.5
Step-by-step explanation:
I beleive since we are connecting midpoints you divide each side by 2 and add them all up to get the perimeter of the smaller triangle made with the ratio of 1:2
The midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.
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.
Given
If the midpoints of the sides of ∆EFG shown below were connected with line segments.
Then the sides of the triangle get half.
Then the perimeter will be of a new triangle will be
[tex]\rm Perimeter = \dfrac{8}{2} + \dfrac{15}{2} +\dfrac{12}{2}\\\\Perimeter = 17.5[/tex]
Thus, the midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.
More about the triangle link is given below.
https://brainly.com/question/25813512
what is the value of 16 to the power 3/4
Answer:
Step-by-step explanation:
[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]
So, 16 to the power of 3 equals 4096
[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]
=8
Whats the difference between Radius and Diameter ?
Answer:
Diameter is twice a radius.
Step-by-step explanation:
Answer:
Radius is half the diameter
Step-by-step explanation:
Radius is always half the diameter, and can be used to find diameter, as well as diameter can be used to find radius.
point D(9,-8) is reflected to D'(9,8)
Answer:
reflected across the x axis
Step-by-step explanation:
-16(d+1)=20
what does d equal
CORRECT answers ONLY please
Answer:
-1.3125
Step-by-step explanation:
-16(d+1) = 20
-16d - 1 = 20
+1 +1
-16d = 21
d = -1.3125
or -1.3
Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw line a on your graph. What is the slope of line a?
Answer: 20
Step-by-step explanation:
Help!!!!! Please!!!!!
Answer:
9 cm
Step-by-step explanation:
r = 3cm
Volume of cone = 27π cm³
[tex]\frac{1}{3}\pi r^{2}h=27\pi \\\\\frac{1}{3}*\pi *3*3*h=27\pi \\[/tex]
h = [tex]\frac{27\pi *3}{\pi *3*3}\\[/tex]
h = 9 cm
Multiply. −37xy(−35x3y2) Enter your answer in the box
Answer:
Hi! Your answer is 1295x^4y^3
Step-by-step explanation:
Simplify the expression.
Answer:
i got 15x^4y^3
A line passes through the point (0,-5). The gradient of this line is 3.
Write down the equation of this line
Answer:
The equation of the line is;
y = 3x -5
Step-by-step explanation:
Here, we want to write down the equation of the line
We can use the point-slope form
y-y1 = m(x-x1)
(x1,y1) represents the given point (0,-5)
m represents the slope = 3
Substituting these values
y-(-5) = 3(x-0)
y + 5 = 3x
y = 3x - 5
Quadratic form of f(x)=(x+7)^2
Answer:
x^2 + 14x + 49
Step-by-step explanation:
Use the distributive property:
(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49
HELP!!!! anyone know any of these answers for the “Homework: February Spiral Review” 20 questions!!!!
Answer:
Linear equation
Step-by-step explanation:
The rate of change for y with respect to x remains constant for the linear equation.
The rate of change is 3
Answer:
nonliner
Step-by-step explanation:
it changes.
the input is right but the output isn't
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
Width = 5x +3
Step-by-step explanation:
15x² - 16x - 15 = 15x² - 25x + 9x - 3 *5
= 5x(3x - 5) + 3(3x - 5)
= (3x - 5)(5x + 3)
Width = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]
40 = 4(3d – 5)
show your work
40=4(3d-5)
40=12d-20
60=12d
5=d
d=5
Theo budgets $154 for karate classes. He buys a karate uniform, called a dogi, for $12. If it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that Theo can take?
Answer- 1234
Step-by-step explanation:
sorry
Answer:
An inequality that represents the number of classes. C, that Theo can take is: 8c+12<=154.
Step-by-step explanation:
What is the measure of angle 3 in degrees?
27 degrees
33 degrees
60 degrees
153 degrees
If x = 8 units, y = 3 units, and h = 1 unit, then what is the area of the parallelogram shown above?
Answer:
8unit²
Step-by-step explanation:
The Area of a parallelogram :
Length of base * height
Length of base, x = 8 units
Height, h = 1 unit
Area = Length of base * height
Area = 8 units * 1 unit
Area = 8unit²
This is a complemntary angle. Solve for X
(Hi pls pls solve this! I will give someone the brainlest no bs)
Answer:
x = 30
Step-by-step explanation:
We start off with 90 degrees
2x + x = 90
Add all like terms
3x = 90
Divide 3 on both sides
[tex]\frac{3x} {3} = \frac{90} {3}[/tex]
x = 30
To check your answer:
Let x be 30
2x + x = 90
2 (x 30) + 30 = 90
60 + 30 = 90
90 = 90
Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!
Answer:
(5/2,2)
Step-by-step explanation:
3+2/2,0+4/2
5/2,4/2
5/2,2
(4,-4) is the answer
I need adjacent angle pair and vertical
Answer: Adjacent Angles: (1,2) and (3,4)
Vertical Angles: (1,3) and (2,4)
Step-by-step explanation:
Adjacent means that the two angles add up to 180 (in other words they form a straight line).
Vertical means that they are opposite from each other and have the same equal value.
hope this helps :)
Answer:
Adjacent angle are 4,2 and 1,3. The Vertical angles are 1,2 and 3,4.
Step-by-step explanation:
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]
[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]
[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]
[tex]b=4.0187...[/tex]
[tex]b=4.0 m[/tex]
Now, we can use the Law of Cosines to figure out one of the acute angles:
[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]
[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]
[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]
[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]
[tex]C=39.3915...[/tex]
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Six equal blocks have a total mass of b kg. What is the mass of each block?.
Buckner put 60$ of his 400 paycheck into his saving account.What percent of his paycheck was placed into saving?
Answer:
15%
Step-by-step explanation:
60/400 = 15/100 (I divided the numerator and denominator by 4 get the denominator 100, so we can find the percentage easily).
15/100 = 15%
by how much does 32 exceed 8
Answer:
by 24
Step-by-step explanation:
32-8 = 24
Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
A golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball.
The ground doesn’t exert a force on the golf ball.
The force is zero because the golf ball has little mass.
Answer:
A and B
Step-by-step explanation:
Answer:
golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball. y-step explanation:
PLATO