[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]
You have two right triangles that are similar. The base of the first is 8 and the height is 12.
If the base of the second triangle is 22, what is the height of the second triangle?
A. 33 units
B. 26 units
C. 14.7 units
D. 4.4 units
Let the height be x
[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]
[tex]\\ \sf\longmapsto 12x=22(8)[/tex]
[tex]\\ \sf\longmapsto 12x=176[/tex]
[tex]\\ \sf\longmapsto x=14.7units[/tex]
Step-by-step explanation:
X :8/12 = 22/x
x • 12 = 22 • 8
12x = 176
x = 14.7units (C.)
Fill in the missing numbers below.
5 feet + 12 inches = blank
yard(s)
Blank inches = 1 foot + 1 yard
Blank feet = 3 feet + 24 inches
Answer:
5 feet + 12 inches = 2 yards
48 inches = 1 foot + 1 yard
5 feet = 3 feet + 24 inches
Step-by-step explanation:
To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:
1 feet = 12 inches
3 feet = 1 yard
To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.
12 inches = 1 feet
Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.
Blank inches = 1 foot + 1 yard
To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.
Blank feet = 3 feet + 24 inches
Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.
1/2+2/3 divided by 1/6
(no links)
[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]
A rectangular garden is 35m long and 25m broad. find the perimeter of the rectangular garden. find the length of wire required to fence with 2 round.
Answer:
The perimeter is the distance all round,
Step-by-step explanation:
perimeter of a rectangle is gotten by the formula
P=2(L+W)
2(35+25)=120m
The wire covers the distance all round
so we use 120m×2=240m
Help bell bell help help help
Answer:
answer is ‐10
Step-by-step explanation:
(x+14) =(5x-74)pick like terms together (x+5x)=(+14‐74)(6x)=(‐60)divide by 6answer is ‐10Of the 600 sixth graders at Melville Middle school, 80% want more field trips. How
Many students want more field trips?
Multiply total students by the percentage:
600 x 80% = 600 x 0.80 = 480
480 students want more field trips.
Which inequality is shown in this graph?
(-2, 2.
• (0-2)
A. Y=2x-2
OOC
B. y 2 - 2x - 2
c. y = 2x - 2
D.VS - 2x - 2
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
which system of equation does the graph represent
what is the length of FD? Need help do tomorrow!!!
Answer:
Step-by-step explanation:
The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).
The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.
The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.
EC = 18 units
CF = 26 units
Plugging these values into the Pythagorean Theorem, we get:
[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]
[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]
[tex]FD^2[/tex] = 324 + 676
[tex]FD^2[/tex] = 1000
FD = [tex]\sqrt{[/tex](1000)
FD = 10 * [tex]\sqrt{[/tex](10)
FD = 20.2 units
Therefore, the length of FD is 20.2 units.
To learn more about length here:
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Correct Question:
In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.
HELP ILL MARK BRAINLIEST ANSWER THIS QUESTION IN THE PIC
which statement best describes the first step to the equation -11-3x=44-2x
A. add 3 to both sides
B add 2 to both sides
C.get the variables on one side
Get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -11-3x=44-2x
Minus eleven minus three x equal to forty four minus two times of x
To solve this, we need to seperated the variable on one side
-3x+2x=44+11
-x=55
x=-55
Get the variables on one side is the first step to the equation -11-3x=44-2x
Hence, get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
To learn more on Equation:
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Does anyone know how to solve this
The answer is B but can anyone explain why
Answer:
B. (0,-1)
Step-by-step explanation:
see.. i'm not rude.... :/
Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.
Answer:
2
Step-by-step explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
What is 10³?
10
100
1000
Answer:
1000
Step-by-step explanation:
Answer: 1000, hope it helps.
Step-by-step explanation:
Use the graph method to solve the system of Linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3, 0)
#7) Identify all pairs of congruent angles
Answer:
A, D, G, H
Step-by-step explanation:
Look at the pink(or purple) lines. R and F both have 4 lines, so they're congruent. S and G both have 1 line, so those are congruent too.
-hope it helps
Answer:
1st option: ∠S ≅ ∠G
4th option: ∠T ≅ ∠H
7th option: ∠Q ≅ ∠E
8th option: ∠R ≅ ∠F
Step-by-step explanation:
Side lengths are unnecessary you just look at those loop things. Angles with the same number of "loops" are congruent like how ∠Q and ∠E both have 3 "loops", this means those angles are congruent.
Helpppp I need help
If you can’t really see it,says if
m
List all the factors of 40 from least to greatest. Enter your answer below,
using a comma to separate each factor,
Answer here
TI
SUBMIT
Answer:
1,2,4,5,8,10,20,40
Step-by-step explanation:
Have a nice day
If a constant force acts upon an object with a mass of 2 kg, the acceleration of the object is 14 m/s^2. When the same Force acts upon another object it's acceleration is 4m/s^2. What is the mass of the object?
Step-by-step explanation:
in the first object:
force = mass × acceleration = 2 × 14 = 28 N
in the second object :
force = mass × acceleration
28=mass×4
then the mass = 28/4 = 7 kg
Find the slope
(3,5) and (6,9)
Answer:
4/3 or 1 1/3
Step-by-step explanation:
To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)
Answer:
Slope is 4/3
Step-by-step explanation:
Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.
The formula of slope between two points can be expressed as several equations, expressions, etc such as:
[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.
Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.
Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]
Therefore the slope of two points is 4/3.
__________________
Let me know in comment if you have any questions.
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
the first option
Step-by-step explanation:
IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection
Answer:
13
Step-by-step explanation:
25 x 2 = 50. 10% of 70 equals 7. 50 + 7 = 57. 70 - 57 = 13.
Cards given to her friend brad + cards sold online = cards givin
25+25=50
Amount of cards + cards givin = amount left
70-50=20
10% of 20=2
20-2=18
Tasha has 18 left
Hope this helps
Mr. Jefferson's and Mr. Hamilton's fifth grade classes sold brownies every day at school for 6 months. If
the pattern continues, which class will earn more at the end of week 8? Use the table to help solve the
problem.
Answer:
It is B
Step-by-step explanation:
A tv originally cost 400$ how much is the final cost of the tv if the sales tax is 8%
Multiply 400 by 8% and add it to 400:
400 x 0.08 = 32
400 + 32 = 432
Answer: $432
Write an equation for the line parallel to the line – 25x + 5y = -9 through the point (0,0).
help pls!
Answer:
Step-by-step explanation:
Rewrite the equation is standard format: y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0). \
– 25x + 5y = -9
5y = 25x - 9
y = 5x - (9/5)
This line has a slope of 5. A parallel line will have the same slope as the reference line. This means:
y = 5x + b
Any line with a slope of 5 will be parallel, regardless of the value of b. We need b, however, since we also want this line to cross point (0,0). We can use this point in the equation and solve for b:
y = 5x + b
0 = 0x + b
b = 0
Our line becomes y = 5x + 0, or
y = 5x
[Note that we could also say b=0 just by looking at the given point. The y-intercept, b, is the value of y when x=0. The point we were given tells us y = 0 at x = 0.
7) If a point is randomly chosen on the square shown, what is the probability that it will be in the red section of the figure? A) 1/4 B) 1/3 C) 1/2 D) 3/4
Answer:
1/4
Step-by-step explanation:
1/4 because it is one piece out of the four cuts. if it were yellow, than it would be 2/4, or 1/2
PLZ HELP OFFERING BRAINLIEST
Find the difference. 2/5 (d-10) -2/3 (d+6)
[tex]\dfrac 25 (d-10) - \dfrac 23(d+6)\\\\\\=\dfrac{6}{15} (d-10) - \dfrac{10}{15} (d+6)\\\\\\=\dfrac{6(d-10) -10(d+6)}{15}\\\\\\=\dfrac{6d -60-10d-60}{15}\\\\\\=\dfrac{-4d-120}{15}\\\\\\=-\dfrac{4d}{15} - 8[/tex]
Fill in the missing numbers below.
5 feet + 12 inches =
yard(s)
inches = 1 foot + 1 yard
feet = 3 feet + 24 inches
Answer:
2
Step-by-step explanation:
5 feet + 12 inches = 2 yards
Therefore
5 feet + 12 inches = yard(2)
I solving for (s)
hope that helps
Write the following phrases as ratios in lowest terms. 1) 3 out of 8 balloons, 2) 5 losses to 7 wins,3) 4 girls to 5 boys,4) 6 books for every 18 students, 5) 2 cars to 3 trucks,6) 11 out of 18 games
Answer:
1) 3:8
2)5:7
3)4:5
4)1:3
5)2:3
6)11:18