Answer:
10 inches
Step-by-step explanation:
The top of the jack is 10 inches from ground.
What is parallelogram?A parallelogram is a two-pair quadrilateral with parallel sides. A parallelogram has opposite sides that are the same length and have opposite angles that are the same size. Additionally, the interior angles on the same transversal side are supplemental. 360 degrees are the sum of all the interior angles.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.
Given Jack is in shape of parallelogram,
height of crank of jack from ground = 5 inches
to find the distance from ground to top of jack
since crank is at centre of jack and bottom to top of jack makes the diagonal of parallelogram,
distance from crank to top of jack is 5 inches,
because The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal.
total length from ground is 5 + 5 = 10 inches
Hence length from ground to top of jack is 10 inches because diagonals bisect each other.
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Find f(x) where
f(x) = 3x+2/x
Answer:
[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]Step-by-step explanation:
to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:inverses of common function
[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex][tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]
please help
solve c+23-16=100
Answer:
c=93
=23-16=7
7+93=100
hence proved
can someone please help? And can you also explain how to do it, because I forgot the steps on how to do it
Answer:
option 3) EF= -7 FG= -7
Step-by-step explanation
X= 1/2
EF= 2X-8
= 2 X 1/2 -8
=1 - 8
EF = -7
FG= 4X -9
= 4X 1/2
2 - 9
FG = -7
Prove that each of the expressions below are equivalent by evaluating the expressions given. Given g = 3.
15g-2(2g+6) and 11g-12
Answer with Step-by-step explanation:
We are given that
g=3
[tex]15g-2(2g+6)[/tex] and [tex]11g-12[/tex]
We have to prove that two expressions are equivalent by evaluating the expressions given
[tex]15g-2(2g+6)[/tex]
Substitute the value of g in the given expression
[tex]=15(3)-2(2(3)+6)[/tex]
[tex]=45-2(6+6)[/tex]
[tex]=45-2(12)[/tex]
[tex]=45-24[/tex]
[tex]=21[/tex]
[tex]11g-12[/tex]
Substitute the value of g in the given expression
[tex]=11(3)-12[/tex]
[tex]=33-12[/tex]
[tex]=21[/tex]
Hence,
15g-2(2g+6) = 11g-12 when g=3
Please help with my math
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
The Sognefjord is the deepest fjord in Norway at 1,308 metres (4,291 ft) If a submersible floating on the surface was to dive vertically at a rate of 35 meters a minute, how many minutes would it have been diving when it reached a point 48 meters from the bottom of the fjord?
Answer:
36 minutes
Step-by-step explanation:
Depth of the fjord = 1308 m
Rate at which the submersible dives = 35 meters/minute
Distance to the bottom of the fjord should be 48 m
Distance the submersible has to go underwater is [tex]1308-48=1260\ \text{m}[/tex]
Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives
[tex]\dfrac{1263}{35}=36\ \text{minutes}[/tex]
The time taken by the submersible to dive the required distance is 36 minutes.
You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. Write an inequality to determine how many miles you can ride for $20.
Answer: Maximum 6 miles
Step-by-step explanation: In total you have $20.
Base fare of taxi is $5.
Per mile cost is $2.50.
Your total cost is where x is the number of miles. Since you're on a budget of maximum $20, the cost should be less than or equal to $20. We can write:
To find how many miles we can write, let's solve the inequality:
.
This means 6 is the maximum number of miles you can ride with $20.
Simplify 5 1/3•5 2/3
Answer:
17 7/9 or 17.7
Step-by-step explanation:
Can someone help me with question 7
Answer: 25
Step-by-step explanation:
if she has 120 and if she has 20 leftover that means she used a 100. then u divide 100 by 4 cause it's a square and u get 25
Shelter A has 500 beds and is 90% occupied. Shelter B is 60% occupied, the ratio of beds in Shelter A to Shelter B is 15:16
Answer:
800 bedsStep-by-step explanation:
Shelter A has 500 beds and is 90% occupied.
Number of occupied beds:
500*0.9 = 450The ratio of beds occupied in Shelter A to Shelter B is 15:16
450/x = 15/16x = 450*16/15x = 480Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:
480/0.6 = 800Answer:
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Step-by-step explanation:
A married couple and their children buy tickets to a ball game. The tickets cost 25 dollars apiece, but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for tickets?
Five thousand two and five hundred twenty-three millionths in decimal form
Answer:
5,002.0523
Step-by-step explanation:
Hope this helps!
There is 135 of masking tape on a roll. Henry has 6 rolls. How many feet of masking tape does he have in all?
In a recent year, 23.7% of all registered doctors were female. If there were 54,400 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
Answer:Total number of registered doctors=229, 536
Step-by-step explanation:
Let the total number of registered doctors be represented as x
Such that 23.7 % of female registered doctors is totals 54,400
To find the total number of registered doctors, we use the equation
23.7% x -= 54,400
Solving the equation we have
0.237 x x= 54,400
x= 54,400/0.237
x= 229, 535.86 rounded to 229, 536
x=Total number of registered doctors=229, 536
HELP ME PLZZZZZZ MARKING BRAINLIEST
Answer:
14
Hope this helps!
this solid has a circular base no edges and one vertex
Answer: Cone
Step-by-step explanation: What solid figure has a circular base and one vertex?
PLEASE HELP THE ME THIS IS THE LAST QUESTION IN THE ASSIGNMENT PLEASE QUICK MATHHHHH
Answer:
3.35 km
Step-by-step explanation:
→ Divide the total distance by the number of laps
26.8 ÷ 8 = 3.35 km
Someone plz help me I will give brainliest!!
Answer
well sorry cant answer the other question see if it works on here
Step-by-step explanation:
Need help no work shown=a big fat 0
Need 22,23,and24
26 if can
Answer:
22.)
m/8 = 15/24
8×15= 120
120÷24= 5
m=5
23.)9/p = 4/48
9×48= 432
432÷4=108
p=108
24.) 10.50÷3= 3.50
thats $3.50 per pizza.
9 pizzas= $31.50
plus one pizza aka, 31.50+3.50= $35
therefore, 10 pizzas would cost $35
26.) 5/2 = d-2/4
cross multiply:
5×4=2(d-2)
20= 2(d-2) divide both sides by 2
20÷2 = 2(d-2)÷2
10= d-2 exchange places with d and 10 and change signs
-d= -2-10
-d=-12 change the sign on both sides when the variable is negative.
d=12
5/8 divided by 1 1/3 =?
Lara has $12 in quarters. Write and solve an equation that can be used to solve for the number of quarters, q, she has. Lara has quarters
Answer:
Equation = 12 * 4Lara has 48 quartersStep-by-step explanation:
Lara has $12 in quarters.
4 quarters make a dollar.
To find the number of quarters she has therefore, you need to multiply the $12 by the 4 quarters in a dollar to find out the number of quarters in $12.
= 12 * 4
= 48 quarters
What is the slope of (4,2) and (0,-1)
Step-by-step explanation:
The slope is m = -3 / -4 = 0.75
T-Mobile was having a sale where the price of a new phone was 25% off the original price of $1000. How much is the sale price of the phone? *
Answer:
The phone is $750
Step-by-step explanation:
1000 divided by 25% is 250. 1000 minus 250 is 750. Hoped this helped
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2x-4=3^x+1
A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5
Answer: D. x ≈ 2.5
Step-by-step explanation: I circled the intersection in green in this attachment I provided.
As you can see, it's near 2.5 which is correct.
I really hope this is correct. I answered this one with confidence. Good luck on your test btw.
Answer:
D. x ≈ 2.5
Step-by-step explanation:
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
Pleaseeee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = 7; y = 11
Step-by-step explanation:
AB = x
AB = CD
CD = 7 so....
x = 7
AD = y + x
AD = BC
BC = 18 so...
y + x = 18
y + 7 = 18 subtract 7 from 18
y = 11
Answer:
x = 7
y = 11
Step-by-step explanation:
Do you see those little arrow marks? Those indicate that if a side has those marks, they have the same length. If a side with one arrow is 7 units long, then it means that x = 7, because the side with x also has one arrow. Then, just plug in 7 into the y+x equation, and set it equal to the other side. (18).
y + 7 = 18; subtract 7 from both sides, to get x = 7; y = 11.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
I need help solving this practice question. You have to state if the triangles are SSS, SAS, AA or if the triangles are equal.
Answer:
SSS
Step-by-step explanation:
if two of the sets of angles show they are congruent then the third set of angles must be congruent too. There are no sides showing they are congruent either.
Use the gcf and the distributive property to express the sum as a product 18+27
Answer:
45
Step-by-step explanation:
18+27=9(2+3)=9(5)=45
The sum of the numbers 18 and 27 will be 45.
What is the greatest common factor?The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. The greatest common multiple is the common number multiplied by both numbers.
The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Given sum is 18 + 27. The greatest common multiple between the two numbers is 9 take it common and then solve.
E = 18+27
E =9(2+3)
E =9(5)=45
Therefore, the sum of the numbers 18 and 27 will be 45.
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If 58 books are checked out of a class library, and 42 books are left on the
shelves, how many books in total belong to the class library?
The exponent form of √7
3
is
Answer
[tex]\sqrt{63}[/tex]
Step-by-step explanation: