3.15 Linear Equations and Inequalities (SHOW YOUR WORK)
1.) Use the linear graph to answer the question.
A.) Identify the quadrant in which each point lies.
Point A:_____
Point B:_____
Answer:
A- Quadrant one.
B- Quadrant three.
Step-by-step explanation:
So, the quadrants go counter-clockwise, starting at the top right which is Quadrant one. Therefore, A is in one. Using that information, we can assume that B is in Quadrant three.
4. A car is travelling 75 kilometers per hour. How many meters does the car travel in one
minute?
Answer:
1250 Meters
Step-by-step explanation:
75 kilometers divided by 60 minutes is 1.25 kilometers per minute.
1 kilometer = 1000 meters
Answer:
75km/hr =75000
60 sec =1min,60 min=1hr
75000÷60=1250m
For the right triangles below, find the exact values of the side lengths a and c. If necessary, write your responses in simplified radical form.
Answer:
First triangle: [tex]a = 5\sqrt{2}[/tex], second triangle: [tex]c = \frac{8\sqrt{3}}{3}[/tex]
Step-by-step explanation:
In the first triangle, the value of [tex]a[/tex] is equal to the following trigonometric relation:
[tex]a = \frac{5}{\cos 45^{\circ}}[/tex]
[tex]a = \frac{5}{\frac{\sqrt{2}}{2} }[/tex]
[tex]a = \frac{10}{\sqrt{2}}[/tex]
[tex]a = \frac{10\sqrt{2}}{2}[/tex]
[tex]a = 5\sqrt{2}[/tex]
In the second triangle, we obtain the value of [tex]c[/tex] is equal to the following trigonometric relation:
[tex]c = 8\cdot \tan 30^{\circ}[/tex]
[tex]c = 8 \cdot \left(\frac{\sin 30^{\circ}}{\cos 30^{\circ}} \right)[/tex]
[tex]c = 8\cdot \left(\frac{\frac{1}{2} }{\frac{\sqrt{3}}{2} } \right)[/tex]
[tex]c = \frac{8}{\sqrt{3}}[/tex]
[tex]c = \frac{8\sqrt{3}}{3}[/tex]
Help pleasee asappp sorry
Answer:
A
Step-by-step explanation:
What is the missing length?
Answer:
16
Step-by-step explanation:
The area of a triangle is
A =1/2 bh where b is the base length and h is the height
Substitute the values in
69.6 = 1/2 ( 8.7) * p
69.6 = 4.35p
Divide each side by 4.35
69.6/4.35 = p
16 = p
The formula for the area of a triangle is: A = 1/2 * base * height.
Using this formula, let's plug in what we know.
69.6 = 1/2 * 8.7 * height
Next, we'll go ahead and get rid of that 1/2 by multiplying everything by its reciprocal, 2.
139.2 = 8.7 * height
Then, all that's left is to divide both sides by 8.7.
Height = 16 yards
Hope this helps!! :)
If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the surface area?
Answer:
The answer is 28.
Step-by-step explanation:
Add all of them.
(L/ length) 12.
(W/ width) 10
(H/ height) 6
12 + 10 + 6 = 28
I hope this helps
Answer:
504 inches
Step-by-step explanation:
2(lb+hb+hl)
length = 12
height = 6
width = 10
2 (120 + 60+ 72)
2( 252
= 504
If 36 ÷ 9 = 4, which numbers could be placed in the blanks in the order shown to create a corresponding multiplication fact? _____ × _____ = _____
A) 4, 9, 36
B) 4, 36, 9
C) 9, 36, 4
D) 36, 9, 4
Answer:
a. 4×9=36
glad to help!!
Step-by-step explanation:
A goat is tethered to a rope that is 10 ft. long. In terms of Tt, what is the maximum area the goat can graze? A) 10pi; ft? B) 25 ft2 C) 5 Ont ft2 D) 100Tt ft2
Answer: D trust me it is 100
Step-by-step explanation:
The maximum area the goat can graze is 100Tt ft2, the correct option is D.
Given
A goat is tethered to a rope that is 10 ft. long.
Area of the circleThe area of the circle is equal to the pie times of the square of the radius of the circle.
The maximum area that the goat can graze in the area of the circle that can be formed due to its circular movement.
The length of the rope represents the radius of the circle, so that;
[tex]\rm Area \ the \ goat \ can \ graze =r^2 \times Tt\\\\ Area \ the \ goat \ can \ graze =(10)2 \times Tt\\\\Area \ the \ goat \ can \ graze =100 \ Tt\\[/tex]
Hence, the maximum area the goat can graze is 100Tt ft2.
To know more about the area of the circle click the link given below.
https://brainly.com/question/24423062
I need help. URGENT
Use the information and the diagram to answer the question:
What is the area of KLM
Answer:
i think the answer might be D but im not sure
Which gives the value of -32 + (-8)?
Please helppp. There is a photo.
Answer:
-40. second option
Step-by-step explanation:
explain the differnce between -3^4 and (-3)^4
Answer:
[tex] { - 3}^{4} = - (3 \times 3 \times 3 \times 3) \\ {( - 3)}^{4} = ( - 3 \times - 3 \times - 3 \times - 3)[/tex]
The difference is that (-3)^4 has a negative 3 with parenthesis around it, which means that if it was in PEMDAS, you would work that out first.
!!!need help please !!!
Answer:
Step-by-step explanation:
log(3) = 0.477
log(8.2) = 0.913
log(0.04) = -1.397
Rewrite the expression 1/x^2/3 in the form x^n
Step-by-step explanation:
Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\dfrac{1}{x^{\frac23}}[/tex] can be written in the form of xⁿ using the exponential property 1/x=x⁻¹. Therefore, the expression can be rewritten as,
[tex]\dfrac{1}{x^{\frac23}}\\\\= x^{-\frac23}[/tex]
= x⁻⁰°⁶⁶
Hence, the given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
The quicker I could get an answer the better because I'm soo confused
A group of New York City residents are surveyed. They are asked if they are going to watch the New York City Marathon in person. Of the people surveyed, 68 men and 45 women will watch the marathon, while 100 men and 192 women will not watch the marathon. Place each joint and marginal relative frequency in the correct location in the two-way table.
Answer:3
Step-by-step explanation:
Box 5:
Box 6:
Box 7:
Boz 8:
PLS HURRRY PLSSS HURRYRY
Answer: 10in^2 or this
Step-by-step explanation: Hope this help :D
Answer:
29
Step-by-step explanation:
2x2=4
5x5=25
25+4=29
Sorry if this didn't help ;(
Find the median, mean, and range.
14, 1, 16, 6, 15, 2
Answer:
Median: 10
Mean: 9
Range: 15
Step-by-step explanation:
Have a good day :)
Priya has 5 pencils, each x inches in length. When she lines up the end of the pencil to the end, they measure 34.5 inches.
Select all the equations that represent this situation.
Select all that apply:
A. 5 + x = 34.5
B. 5x = 34.5
C. 34.5 ÷ 5 = x
D. 34.5 − 5 = x
E. x = (34.5) ⋅ 5
PLEASE HELP ITS URGENT!
Answer:
B. 5x = 34.5 the pencil to the end
Jay has an album that holds 900 photos. Each page of the album holds 9 photos. If 64 % of the album is empty, how many pages are filled with photos?
well 9+10=21
Step-by-step explanation:
21Answer: 21
Step-by-step explanation:
Evaluate the expression 8a+11−3b for a = 4 and b = 2.
Answer: 37
8(4)+11-3(2)
32+11-6
43-6
37
Graph the image of points A and B after a reflection over the x-axis.
Point B is 2,3 and Point A is 7,8
Answer:
Point A reflected = 7, -8
Point B reflected = 2, -3
Step-by-step explanation:
I need help!!! Like right now
please help me
no links please and thank you :)
A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons.
Which of the following is closest to the circumference of a circle whose radius is 21 m
Here Is your answer!!!!
Forty nine minus twenty five b squared in factored form
Step-by-step explanation:
Hoping this will help you on your journey through brainly!
The model represents an inequality. What is the solution set for the inequality?
Given:
The figure of an algebraic tiles model of an inequality.
To find:
The inequality for the given model.
Solution:
On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,
[tex]LHS=8(x)+12(1)[/tex]
[tex]LHS=8x+12[/tex]
On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,
[tex]RHS=12(-1)[/tex]
[tex]RHS=-12[/tex]
Now, the inequality for the given model is:
[tex]8x+12\geq -12[/tex]
Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].
The equation for the line of best fit is y=–0.7x+39. In this equation, what does the y-intercept of 39 tell you?
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. what is the probability that the selected marble is green?
Answer:
1/3
Step-by-step explanation:
3x3= 9
Make 3/9 a fraction and simplify it and it would give you 1/3