Answer:
Answer:
x = (4√3)/3 units
Step-by-step explanation:
Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.
Now, Sin 60° = Opp. /Hyp Sin 60° = 2/x But we know that, Sin 60° = √3/2 So,√3/2 = 2/x Cross multiplying we get,
x√3 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units
Hope it helped and believing you understood it........All the
Step-by-step explanation:
which number line shows the solution to the inequality -2x-3> -11
The solution to the inequality is x is less than 4.
What is inequility ?
An inequality is a mathematical statement that expresses a relationship between two values or expressions that are not necessarily equal. Inequalities are often used in mathematics to compare values, express constraints or limitations, and solve problems involving ranges of values.
To solve the inequality -2x - 3 > -11, we can start by isolating the variable x.
-2x - 3 > -11
Add 3 to both sides:
-2x > -8
Divide both sides by -2 (and flip the inequality because we're dividing by a negative number):
x < 4
So the solution to the inequality is x is less than 4.
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how do i solve this question
Answer:
18.18
Step-by-step explanation:
total sum of angle of quadrilateral is 360
70+60+ 7x-4+4x-3=360
160-7 +11x =360
153 +11x =360
11x=360-153
x=207/11
x=18.18
Find the slope of the line that goes through the points:
(-1, 8) and (5, 3)
Answer:
Step-by-step explanation:
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
y2=3
y1=8
x2=5
x1=(-1)
3-8/5-(-1)
3-8=(-5)
5-(-1)=5+1=6
M=-5/6
The slope is m=-5/6.
GIVING BRAINLIEST!!!!!!
32+4X(16 x 1/2)-2
show your work
Freddy exercise 3.5 hours per day 4 days last week he burned 440 calories per hour while exercising how many calories did Freddie burn by exercising last week
Answer:
6,160 calories
Step-by-step explanation:
total hours of exercising = 3.5 x 4 = 14
burns 440 calories per each hour
total calories burned is 440 x 14
Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Answer:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Step-by-step explanation:
A density curve is a graph that shows probability.
There are a few properties that those curves have:
The curves are normalized, which means that the area inside the curve is always equal to 1 (or the 100% of possibilities).
And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.
From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).
Now let's look at graph B.
We can see that all points are above the horizontal axis, so that is good.
Now let's compute the area inside the curve.
We can see two triangles, remember that the area of a triangle of base b and height h is:
A = (b*h)/2
To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.
The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25
Then the area is:
A1 = (2*0.25)/2 = 0.25
The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25
Then the area of this triangle is:
A2 = (6*0.25)/2 = 0.75
If add these areas, we get:
Total area = A1 + A2 = 0.25 + 0.75 = 1
Total area = 1
So we have an area under the curve equal to 1, which means that graph B is a valid density curve.
And the correct option is then:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
How do you work the problem 6y < 18 out
Answer:
y<3
Step-by-step explanation:
6y<18
y<18/6
y<3
I hope this helps
Answer: you can see what number times 6 gets you 18 so it would be y<3
Step-by-step explanation:
Which is equal to 2√2 ? Select all that apply.
A. sin 30°
B. sin 45°
C. cos 45°
D. cos 60°
E. tan 30°
F. tan 45°
Answer:
B and C
Step-by-step explanation:
Sin 45 or Cosine 45.
The trigonometric ratios that Garret could use to describe the relationship between these two sides are sin 30°and cos 60°.
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
here, we have,
Given that,
Garret makes a ramp for his skateboard in the shape of a right triangle.
Also given that,
length of the hypotenuse = 2 feet
Length of a leg = 1 feet
Using Pythagoras theorem,
Length of other leg = √(2² - 1²) = √3
45°-45°-90° triangle ratio is 1 : 1 : √2.
30°-60°-90° triangle ratio is 1 : √3 : 2.
Given triangle has the side ratio 1 : √3 : 2. So this is a 30°-60°-90° triangle.
The trigonometric ratio used must include the hypotenuse.
So sin and cos can only be used.
Hence the trigonometric ratios used are sin 30°and cos 60°.
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Complete question:
Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants to use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.
A. sin 30°
B. cos 45°
C. tan 30°
D. sin 45°
E. cos 60°
F. tan 45°
I2. How many teachers are there in your school? How many male teachers and female
teachers are there?
I) Write the ratio of male teachers to the female teachers.
ii) Write the ratio of male teachers to the total number of teachers.
iii) Write the ratio of total of teachers to the female teachers.v
There are 42 teachers 30 male 12 female. 30:12. male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12
Bentley had $25 to spend on 5 paintbrushes for his art class. After buying them, Bentley had $5 left. How much did each of the paintbrushes cost?
Answer:
$4
Step-by-step explanation:
$25-$5=20
20 divided by 5 = 4
The median for the 5 numbers 2647, 1956, 2250, 2141, and x is 2141. What is the largest possible value for the number x?
Answer:
2140
Step-by-step explanation:
Median can be described as the number that lies in the middle of a set of arranged observations. the observations can be arranged in ascending or descending order
in a set of 5 numbers, the median would be the 3rd number
the median is 2141. there was to be 2 numbers before and after 2141
1956, x 2141, 2250, 2647
the largest possible value of x is 2140. this is the largest number that is less than 2140
A playground is rectangular with a length of 12 miles. If the area of the playground is 58 square miles, what is its width? Input your answer as a fraction.
Answer:
4 5/6 miles
Step-by-step explanation:
Area of a rectangle = length x width
58 = 12 x width
to find width, divide both sides of the equation by 12
58/12 = 4 whole number and 10 would remain
4 10/12
to simply, divide numerator and denominator by 2
4 5/6 miles
PLEASE HELP I HAVE NO IDEA WHAT TO DO!!!
Answer: multiply and round I'm pretty sure tell me if u want me to multiply for u
Step-by-step explanation:
add 4x²y,-2xy²,-5xy²,3x²y plz explain
A number "X" greater than 8
Answer:
X > 8
Step-by-step explanation:
Using the keywords greater than helps you.
John ran a race in 36 minutes. If each lap takes 9 minutes to run, write and solve an equation to find out how many laps John had to run.
SHOW YOUR WORK AND SOLVE PLEASE
Answer:
4 laps
Step-by-step explanation:
Solved using a proportion.
[tex]\frac{1}{9} = \frac{y}{36}[/tex]
9 × y = 1 × 36
9y = 36
9y ÷ 9 = 36 ÷ 9
y = 4
The low temperature at 6:45 A.M. was −22°F. At 3:15 P.M. the temperature was 5°F. What was the range of temperature for the day? A −27°F B −17°F C 17°F D 27°F
Answer:
D
Step-by-step explanation:
-22°F+27°F=5°F
have a nice day or evening
Answer:
D
Step-by-step explanation:
I took the test
6 grade math pls help
answer
measure of o is 75
and n is same as o as the sides are same
hope this helps you
YPU DONT NEED TO SOLVE
YOU DO NOT NEED TO SOLVE AS SEEN IN THE PROBLEM ON THE PAPER
Answer:
x=6
Step-by-step explanation:
x=21+15
-21 -21
x=6
finding area of circle with radius , giving brainliest :)) pls help asap
Answer:
number 2 is the answer or 4*pi inches² or 12.6
Step-by-step explanation:
Can someone please help me
Plz help me with this one!
Step-by-step explanation:
[tex]y = x + 5 \: \: \: \: y = - 3x + 1 \\ y = x + 5 \: \: \: \: x + 5 = - 3x + 1 \\ y = x + 5 \: \: \: \: 4x = - 4 \\ y = x + 5 \: \: \: \: x = - 1 \\ y = 4 \: \: \: \: x = - 1[/tex]
HELP! I NEED THIS QUESTION ANSWERED ASAP!!!!!
HERE!
Angle X measures 53°
What type of angle is angle X?
Answers:
1 ) Obtuse
2) Right
3) Acute
Answer:
3 ) Acute
Step-by-step explanation:
Acute Angle - An angle less than 90 degrees.
Right Angle - An angle that is exactly 90 degrees.
Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.
Straight Angle - An angle that is exactly 180 degrees.
Answer:
3)Acute
Step-by-step explanation:
any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle
Form and solve an equation for .
5x - 7
23
Answer:
x = 6
Step-by-step explanation:
5x - 7 and 23 are vertical angles and are congruent , then
5x - 7 = 23 ( add 7 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
1. Mr. Jay has 24 students and 75% of them are boys. How many are boys?
Answer:
18
Heart if this helped
PLEASE HELP MEEEEE PLEASE!
Answer: my best guess would be c
Step-by-step explanation: I hope you figure this out maybe use Socratic app that might help
Answer:
(-2,2)
Step-by-step explanation:
the red line is y = x + 4 ( we know this as x = -4 is the x intercept)
the green one is y = -x (it intercepts in origin)
so, we equal the two equations to each other to get the interception point:
x + 4 = - x
4 = -2x
x = -2
we substitute x = -2 in any of the equations we get
y = -2 + 4 = 2 or y = -(-2) = 2
so the point is (-2,2) which is option C.
1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?
Answer:
28 girls
Step-by-step explanation:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
HELP ME IN NUMBER 1 AND 2
Answer:
Number is is A Number 2 is 77 trust ik math
On a number line, show all values of x for which |x|>3
Simplify (-12x+(-13))-(10x+(-12))
Answer:
-22x - 1
Step-by-step explanation:
(-12x+(-13)) - (10x+(-12))
(-12x-13) - (10x-12) Take away the plus sign since addition of a negative is the same as subtraction.
(-12x-10x) + (-13+12) Put like terms together.
-22x - 1 Simplify
Answer:the answer is -22x-1 hope that helps
Step-by-step explanation: