Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
Answers
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
Related Questions
A car's rear windshield wiper rotates 140°. The total length of the wiper mechanism is 24 inches and the length of the wiper blade is 16 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
Answers
Answer:
312.7 in^2Step-by-step explanation:
This problem is on the mensuration of flat shapes, sectors and arc.
we know that the area of a sector is given as
A=(∅/360)*πr^2
Given that the length of the wiper R=24 in
and the length of the blade r= 16in
To find the area of the wiped surface we only require the length of the blade as the radius
The area of the wiped surface is given as= (140/360)*3.142*16^2
A= 0.3888*3.142*256
A=312.7 in^2
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
Answers
I need help if anyone can help me and explain it how to do it
Answers
Step-by-step explanation:
h(x) = f(g(x)), so h(x) is the same as g(x) substituted into f(x).
In this case, we can say f(x) = √x, and g(x) = 5x + 30.
f(g(x)) = √(5x + 30)
Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not
Answers
Answer and explanation:
Please find explanation attached
1. Is a blender a convection,conduction,or a radiation? please help
Answers
Answer:
Convection! :)
Step-by-step explanation:
I can go alone and fly and get 20% off
the regular round-trip fare of $380.
I will have to take a taxi to and
from the college at a cost of $6.30 per
trip. I will have to be on compus
for 2 extra meals at a cost of $4.75 per
meal, and I will need to make
telephone calls to my parents at a cost
of $15.
What is the price of the student round-trip fare?. What is the total cost of the taxi fare?. What is the total cost to visit the college
Answers
April has $3.65 in quarters and nickels in her car. The number of nickels is thirteen more than the numbers of quarters. How many of each type of coins does she have?
Answers
Answer:
hi
Step-by-step explanation:
Answer:
you multiple what April has
The triangle below is an equilateral triangle. What is the perimeter of the triangle?
Answers
Answer:
[tex]5.4x+15[/tex] inches
Step-by-step explanation:
This is an equilateral triangle.
Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)
In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.
Let's multiply this by 3.
[tex]3(1.8x+5)[/tex]
We can apply the distributive property - multiply all terms inside the parentheses by 3.
[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]
Hope this helped!
Stephen Curry plays for the Golden Gate Warriors and touts a 90% free throw shooting record. If he shot 12 free throws in a game, approximately how many did he miss?
Answers
Answer:
10
Step-by-step explanation:
Because it is 90% and he shots 12 how much fat away is 90 for 100 it is 10
At the beginning pf the week , naveen had 87 trading cards. On monday he gets 9 more on tuesday he foves 16 away on wensday he us given 3 by a friend on thrusday he sells all of his cards to a collecter the coolecter pays him arate of c for every card that naveen has. If naveen earns 124.50 from the sale what is c the rate that the collecter pays for each card
Answers
124.50/83= 1.50 per card
given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =
Answers
By the product rule,
[tex](fg)'=f'g+fg'[/tex]
so that
[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]
By the quotient rule,
[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]
so that
[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]
help me please this is due today!!!!!
Answers
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answers
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
A rectangular box with a depth of 10 inches and a square base is to be manufactured by the Bold Box Company. The top of the box costs $1.20 per square inch, the bottom costs $.95 per square inch and the sides cost $.75 per square inch. Express the cost of manufacturing this box as a function of length.
Answers
Answer:
The cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
Step-by-step explanation:
From the statement we know that:
1) The box has a square base ([tex]w = l = x[/tex]).
2) The box has a depth of 10 inches ([tex]h = 10\,in[/tex]).
3) The cost of manufacturing the top of the box is $ 1.20 per square inch.
4) The cost of manufacturing the bottom of the box is $ 0.95 per square inch.
5) The cost of manufacturing each side of the box is $ 0.75 per square inch.
The total cost of manufacturing the box is:
[tex]C_{T} =C_{bottom} + C_{top} + 4\cdot C_{side}[/tex]
Where:
[tex]C_{bottom}[/tex] - Cost of the bottom of the box, measured in US dollars.
[tex]C_{top}[/tex] - Cost of the top of the box, measured in US dollars.
[tex]C_{side}[/tex] - Cost of the side of the box, measured in US dollars.
Dimensionally, cost equals unit cost, measured in US dollars by square inch, multiplied by surface area, measured in square inches. Now, the expression is expanded:
[tex]C_{T} = c_{bottom}\cdot x^{2}+c_{top}\cdot x^{2}+4\cdot c_{side}\cdot h\cdot x[/tex]
[tex]C_{T} =(c_{bottom}+c_{top})\cdot x^{2}+4\cdot c_{side}\cdot h \cdot x[/tex]
If we know that [tex]c_{bottom} = \$\,0.95\,in^{-2}[/tex], [tex]c_{top} = \$\,1.20\,in^{-2}[/tex], [tex]c_{side} = \$\,0.75\,in^{-2}[/tex] and [tex]h = 10\,in[/tex], the cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
Help! I need help with question 2 and 3. Thanks.
Answers
Answer:
Answer: SW IS 1.5 OKKKKKKKKK
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answers
Answer: 9h+15 > 110
Step-by-step explanation: ed 2020
Problem Solving Skills
Answer the questions below. Use the Problem Solving Skills that we discussed in class.
Look back in your notebook if you need a reminder.
7) Suppose that x and y are rational numbers such that x >y. Which of the following
inequalities must be true?
A. (x/>ly/
B. X'>y'
C. x+y > 0
D. X-y> 0
Answers
Answer:i think the answer is A(x/.ly/
Step-by-step explanation:
Answer:
D. x - y > 0
Step-by-step explanation:
Given:
x > y
Solution:
x - y > y - y . . . . . subtract y from both sides
x - y > 0 . . . . matches choice D
Which y values are represented on the graph below?
Answers
Fifteen greater than y is at least 150
Answers
Answer:
y ≥ 135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
y + 15 ≥ 150y + 15 - 15 ≥ 150 - 15y ≥ 135Which means: y is at least 135
what is the value of x
Answers
Answer:
X=70
Step-by-step explanation:
Interior angles of parallel line sum up to be 180° so:
45+(2x-5)=180
45+2x=185
2x=140
x=70
Choose whether the sum is positive, negative,
or zero.
-3 + 3 is
Answers
The answer is zero
-n+n=0 Always
Explanation :
The sum of any integer and its opposite is equal to zero.
Help please thanks.
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{1}[/tex] -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?
Answers
0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%
There are 230 calories in a 48 g packet of M& M's. How many calories are in a 9.6 g bag?
Answers
Answer:
The answer is
46 caloriesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question there are 230 calories in 48g of M & M's
That's
If in 48g of M & M's we have 230 calories
9.6 g will contain
[tex] \frac{9.6 \times 230}{48} \\ = \frac{2208}{48} [/tex]
We have the final answer as
46 calories
Hope this helps you
The perimeter of a rectangle is represented by the expression 2 (3x + 1) + 22.
Answers
z is less than or equal to six
Answers
Answer:
z ≤ 6
Explanation:
z is less than or equal to: z ≤
z is less than or equal to six: z ≤ 6
is this a function or not a function (2,5), (4, -2), (3,3), (5,4), (-2,5)
Answers
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer: function
Step-by-step explanation:
What is the area of the figure below
Answers
Answer:
22cm
Step-by-step explanation:
7+3=10
10+8=18
18+4=22
Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]
x =_____ , ______
Answers
Answer:
x = -5 , 3
Step-by-step explanation:
(x₁ , y₁) = (-1, -2) & (x₂, y₂) = (x , 2)
[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]
Take square both sides,
x² + 2x + 5 = (2)²(√5)² {(√5)² = √5*√5 = 5 }
x² + 2x +5 = 4 * 5
x² + 2x + 5 = 20
x² + 2x + 5 - 20 = 0
x² + 2x -15 = 0
x² + 5x - 3x - 5*3 = 0
x(x + 5) -3(x + 5)=0
(x + 5)(x - 3) = 0
x + 5 = 0 ; x - 3 = 0
x = -5 ; x = 3
x = -5 , 3
Name a line by any two points on the line, or a lowercase script letter.
Answers
Answer:
Step-by-step explanation: A B
Lines can be named using any two points on the line or using a single cusive lowercase letter.