Answer:
inverse of [tex]\sqrt{x}[/tex]-3 : x^2 +3
Step-by-step explanation:
y=[tex]\sqrt{x-3}[/tex]
x=[tex]\sqrt{y-3}[/tex]
y=[tex]x^{2}[/tex]+3
[tex]x^{2}[/tex]+3
All three sides of a triangle are initially 4 m in length. One of the triangle's sides is oriented horizontally. The triangle is scaled down in size without changing any of the angles. What is the new height of the triangle when the area is exactly half of the original triangle's area
Answer:
the new height of the triangle = 2.449
Step-by-step explanation:
Given that:
the sides of the triangle are 4m in length i.e they are equal. It shows that the triangle is known to be an equilateral triangle.
Let say the triangle is a triangle IJK
Let the length of the side to be i = 4
Definitely
IJ = JK = IK = i = 4
If a midline is drawn and cuts the equilateral triangle in two equal halves of a right-angle triangle. Then, suppose the midline is L
Then ;
[tex]JL = \dfrac{1}{2} JK[/tex]
[tex]JL = \dfrac{1}{2} i[/tex]
Let consider triangle IJL
(IL)² = (IJ)² - (JL)²
[tex](IL)^2 = i^2 - \dfrac{i^2}{4}[/tex]
[tex](IL)^2 = \dfrac{3i^2}{4}[/tex]
[tex](IL) =\sqrt{ \dfrac{3i^2}{4}}[/tex]
[tex]IL =\sqrt{3} \dfrac{i}{2}[/tex]
Area of triangle IJK can be expressed as:
[tex]Area = \dfrac{1}{2}\times Base \times Height[/tex]
[tex]Area = \dfrac{1}{2}\times i \times \sqrt{3}\dfrac{i}{2}[/tex]
[tex]Area = \sqrt{3}\dfrac{i^2}{4}[/tex]
where, i = 4
Then:
[tex]Area = \sqrt{3}\dfrac{4^2}{4}[/tex]
[tex]Area = \sqrt{3} \dfrac{16}{4}[/tex]
[tex]Area =4 \sqrt{3}[/tex]
when the area is exactly half of the original triangle's area, the new height is :
[tex]A = \dfrac{1}{2} \times Area[/tex]
[tex]\sqrt{3} \dfrac{i^2}{4} = \dfrac{1}{2} \times 4\sqrt{3}[/tex]
[tex]\dfrac{i^2}{4} = \dfrac{1}{2} \times 4[/tex]
[tex]\dfrac{i^2}{4} =2[/tex]
[tex]i^2 = 8[/tex]
[tex]i= \sqrt{8}[/tex]
[tex]i= \sqrt{4 \times 2}[/tex]
[tex]i= 2 \sqrt{2}[/tex]
Finally, the new height of the new triangle is:
[tex]IL =\sqrt{3} \dfrac{i}{2}[/tex]
[tex]IL =\sqrt{3} \dfrac{2 \sqrt{2}}{2}[/tex]
[tex]IL =\sqrt{3 \times 2}[/tex]
[tex]IL =\sqrt{6}[/tex]
IL = 2.449 m
74386 divided by 874
Answer:
85.11
Step-by-step explanation:
Answer:
85.1098398169
Step-by-step explanation:
74386/874=85.1098398169
2a/b given a=-3/4 and b=1/2
Answer:
-3
Step-by-step explanation:
2·(-3/4)/(1/2)(-6/4) · (2/1)-12/4-3I NEED A EXPLAINATION
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.
-1.79, 2, 2.54, - 4
2.54,2,-1.79,-4
Step-by-step explanation:
gretest is 2.54 because 2.54 is nearer to 3so it is greatest. then 2 is smaller than 2.54 and then -1.74 and -4 because the number which is greater in negative is the most smallest number.
for , another example -1 is greater than-100.
please follow me
7
It takes
2
yd of ribbon to make a hair bow. How much ribbon is needed to make 7 bows?
Answer: 14 yrds
Step-by-step explanation: 2 times 7= 14
The numbers are 52,55,58,58,62,62,65,68. Which dot plot represents this information
Answer:
B.
Step-by-step explanation:
The answer is B because if you look at the graphs it should be easy to tell
Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year. Which of the decimals in the problem should be represented as a negative rate? Which two factors should Ericka multiply to find the total variation in water level?
Answer:
first one is 2.2mm/year and second is 6.2years and -2.2mm/year
Step-by-step explanation:
plz trust me i just did it
The decimals in the problem should be represented as a negative rate is -2.2mm/year
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river.
Ericka should first one is 2.2mm/year and the second is 6.2years and -2.2mm/year
Thus, the decimals in the problem should be represented as a negative rate is -2.2mm/year
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ6
Bill Granger is a parts clerk. He worked a total of 46.25 hours from Monday to Friday this week. If his regular pay is $12.75 per hour, how much overtime pay did Bill earn?
Answer:
His extra pay would be of $79.69
Step-by-step explanation:
Assuming that the clerk works regular 40 hour per week, then he has worked 6.25 extra (overtime) hours this week. Then his extra pay for overtime work would be:
6.25 times $12.75 = $79.69
Find the missing side length.
I’m new to the app and just trying to figure out how thinks work :) sorry
Answer:
7 ft
Explanation:
15 - 8 = 7
Answer:
The missing side length is 7
Step-by-step explanation:
Simply subtract 8 from 15
15-8=7
The missing side length is 7
Hope this helps! Plz award Brainliest : )
How many pounds are there in 2 and 1/4 tons? (1 ton = 2000 pounds)
2025
4000
4500
4525
Answer:
4,500
Step-by-step explanation:
Convert 2 1/4 to a decimal
2.25
2,000 x 2.25
= 2.25
Good luck, hope this helped!
where should the parentheses go in this equation
1+2·3+4·5=65
Answer:
((1+2)*3+4)*5
Step-by-step explanation:
[tex]((1+2)*3+4)*5\\\\=((3)*3+4)*5\\\\=(9+4)*5\\\\=13*5\\\\\=65[/tex]
What is the vertex of the parabola in the graph?
Answer:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
mark me brainlest
Answer:
(-3, -4)
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
I think it's ABD and DBC!
Step-by-step explanation:
I looked up complementary angles and it said "Two angles are called complementary when their measures add to 90 degrees." and it looks like those 2 would be it!
can i pleaseee have hellpp
Answer:
LOM= 130º
Step-by-step explanation:
Combine the two equations and set it to equal 180º(LON), 180º=12x+120º
next subtract 120º from both sides, 60º=12x. Now divide both sides by 12, 5=x. Now you can plug 5 back into the original equation to calculate MON, 8x5+90º
Answer:
∠MON = 130
Step-by-step explanation:
∠LON = 180°
∠LOM + ∠MON = 180 -------equation
where:
∠LOM = 4x + 30
∠MON = 8x + 90
plugin values into the equation
4x + 30 + 8x + 90 = 180
4x + 8x + 30 + 90 = 180
12x = 180 - 30 - 90
12x = 60
x = 60/12
x = 5
plugin values to ∠MON = 8x + 90
∠MON = 8x + 90
∠MON = 8(5) + 90
∠MON = 130
Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How
far is Becky from the school?
What is the value of x in the equation below?
-3-(-8)-(-2)= X
0 - 13
og
o 3
o
Answer:
g= −6/13o5
Step-by-step explanation:
Let's solve for g.
−3−(−8)−(−2)=x0−13ogo3o
Step 1: Flip the equation.
−13go5+1=7
Step 2: Add -1 to both sides.
−13go5+1+−1=7+−1
−13go5=6
Step 3: Divide both sides by -13o^5.
−13go5
−13o5
=6−13o5
g=−6/13o5
Solve for x: x − 2 > 2x + 12
Answer:
x < -14
Step-by-step explanation:
Solve the inequality x − 2 > 2x + 12 for x:
First, subtract x from both sides. In the resulting inequality x is on the right side with +12:
-2 > x + 12
Subtract 12 from both sides to isolate x:
-14 > x OR x < -14
(6 + 4)^2 + (11+ 10/2) Simplifyyyyy
Answer:
116
Step-by-step explanation:
we do pemdas so start with parenthesis
6+4=10
10 squared =100
then we divide before adding so
10/2 = 5+11= 16
100+16= 116
Lisa drove 819 miles 13 hours. At the same rate, how long would it take her to drive 504 miles?
Answer:
The answer is
8 hoursStep-by-step explanation:
To solve this question we use ratio and proportion
From the question
Lisa drove 819 miles for 13 hours
If for Lisa drove 819 miles for 13 hours
Then for 504 miles she will drive
[tex] \frac{504 \times 13}{819} = \frac{6552}{819} [/tex]We have the final answer as
8 hoursHope this helps you
2 is a solution for
True or False
Answer:
False
Step-by-step explanation:
The open circle means you should not include the number it is on.
The inequality would look like, x<2 and not equal to. Therefore, 2 is not a solution.
Answer:
False
Step-by-step explanation:
When there is an open circle, it means that it can't be that exact number. If there is a closed circle, it can be that number. This is an open circle, and means that it is less than 2.
6. Which place has 1/10 the value of the underlined digit? 5,433.331
a. Ones
b. Tenths
c. Hundredths
d. tens
Answer:
Step-by-step explanation:
1/10 is one tenth
Simplify 2a+14-4a-7+8a
Answer: 2a+14-4a-7+8a = 6a+7
If I Helped, Please Mark My Answer As Brainliest, Have A Great Day :D
To get ready for a field trip, students and adults were put into groups. For every 8 students in a group, there were 3 adults. In total, in all the groups, there were 48 students. How many adults were also on the field trip?
Answer:
18!
Step-by-step explanation:
Divide the number of students (48) by 8 to find the number of groups and get 6 if there are 6 groups of 8 and 3 adults with every 8 students then multiply 6 by 3 and receive an 18!!
Hope this helped! Let me know if you are confused at all!
Delilah does 184 jumping jacks in four minutes she does her jumping jacks at a constant rate how many jumping jacks Can Delilah do per minute
Answer:
Delilah can do 46 jumping jacks per minute.
Step-by-step explanation:
Round the following numbers as indicated: a) To four sig. figs.: 1. 21.860051 = 2. 5.687524 3. 112.511 b) To two sig figs: 1. 79.2588 2. 3.4125 3. 41.86632
Step-by-step explanation:
21.86
112.5
79.3
3.41
41.9
Use the graph of the function to find domain and range. Write in interval notation.
Answer:I am not sure dont come at me but 9.5
Step-by-step explanation:
Solve the equation using the Subtraction Property of Equality: x + 1/2 = 5/2
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{5}{2} - \frac{1}{2} = \frac{4}{2}[/tex]
and 4/2 = 2
A Chinese restaurant has the family special shown at right. What is the original average cost of the entrees if the discount is 52 per entree? ANY FOUR ENTREES FOR $20
This question was not written properly
Complete Question
A Chinese restaurant has the family special shown at right. What is the original average cost of the entrees if the discount is $2 per entree? ANY FOUR ENTREES FOR $20
Answer:
$7
Step-by-step explanation:
From the question we are told that :
Any 4 entrees = $20,
And there is a discount of $2 per entree.
Let us represent the original average cost of entrees as = a
Hence, we have the algebraic expression
4(a - 2) = 20
4a - 8 = 20
4a = 20 + 8
4a = 28
Divide both sides by 4
4a/4 = 28/4
a = 7
Therefore, the original average cost of the entrees if the discount is $2 per entree is $7.
Ashley can ride her bicycle 15 miles
If your question is: Ashley can ride her bicycle 15 miles in 2 hours. There are 60 miniutes in an hour and there are 1760 yards in 1 mile. How many yards does Ashley travel each minute?
____________________________________
First, do 15 miles divided by 2 hours. In addition, do 1 hour divided by 60 minutes (1). Thus, do 1760 yards divided by 1 mile. Therefore, you can multiply these together to get 220 yards/min.
Best of luck!
The members of a population are numbered 150. Use the table linked below to obtain a simple random sample of size 6 from the population. Start at the two-digit number in line number 00 and column numbers 21-22 and read down the columns. After reaching the bottom of those two columns, move to the bottom of the next two columns, read up those columns, and so on.
Answer:
Number of 2 digit number: 10 to 99, 90 numbers. Hence,P(selecting a 2 digit number) = 1/90 = .
Step-by-step explanation:
