Answers
Answer:
B
Step-by-step explanation:
112.5/15=7.5
[tex] \frac{112.5}{15} = 7.5[/tex] ✅
Step-by-step explanation:Option A⤵
[tex] \frac{15}{112.5} = 75 \\ ⇢ 0.1333 ≠75[/tex]
Option B⤵
[tex] \frac{112.5}{15} = 7.5 \\ ⇢ 7.5 = 7.5[/tex]
Option C⤵
[tex] \frac{112.5}{15} = 75 \\ ⇢ 7.5 ≠75[/tex]
Option D⤵
[tex] \frac{15}{112.5} = 7.5 \\ ⇢ 0.1333 ≠7.5[/tex]
Hence, option B is correct.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Related Questions
Find the derivative of y=2x^2-3x+1 and the slope of the curve at the point where x=3
Answers
The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]
and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.
IM just a little bit slow
Answers
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
x = 4
∠R = 71°
Step-by-step explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
[tex]31 - 3x + 19x - 5 = 90[/tex]
To make this problem easier to solve, we can combine like terms.
[tex]26 + 16x = 90.[/tex]
Now, we can proceed.
First, subtract 26 from 26 and 90.
[tex]26 - 26 = 0.[/tex] (cancels itself out).
[tex]90 - 26 = 64.\\[/tex]
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
[tex]64/16 = 4[/tex]
Therefore, the value of x is 4.
-------------------------------------------------------------------------------------------------------------
Now that we have the value of x, we can use this value to replace the variable (x).
[tex]19x - 5[/tex]
[tex]19 * 4 - 5 = 71.[/tex]
Therefore, the value of ∠R is 71°.
At the fair, 2 corn dogs and 3 pretzels cost $13, and 5 corn dogs and 6 pretzels costs $28. How much
would 2 pretzels and a corn dog cost??
Answers
2x+3y=13
5x+6y=28
Multiply the first equation by two so that we can eliminate y.
Subtract:
4x+6y=26
5x+6y=28
-x=-2
x=2
4(2)+6y=26
8+6y=26
6y=18
y=3
3 x 2 = 6
6+2=8
Therefore, 2 pretzels and a corn dog would cost $8.
URGENT... please help
Answers
find 3/5% of $90,000
Answers
to find a percentage of something, you multiply the percentage and the number, so
60% x 90000 = 54,000
HELP PLZ I HAVE 5 MIN PLZZ
A box of fruit contains apples, oranges, and bananas. The apples weigh a total of 6 pounds and the oranges weigh a total of 8 pounds.
Let b represent the total weight of the bananas, in pounds.
Create an expression to represent the total weight, in pounds, of the fruit in the box. Move a number, variable, and symbol to the lines to
create the expression.
2
6
8
14
48
b
Lo
Answers
Answer:
6+8
Step-by-step explanation:
Find the value of each trigonometric ratio
Answers
№3
[tex]\sin C = \frac{AB}{AC} = \frac{27}{45} = \frac{3 * 9}{5 * 9} = \frac{3}{5}[/tex]
Answer: D (3/5).
№4
[tex]\cos A = \frac{AB}{AC} = \frac{24}{30} = \frac{3 * 4 * 2}{3 * 5 * 2} = \frac{4}{5}[/tex]
Answer: C (4/5).
№5
[tex]\tan C = \frac{AB}{BC} = \frac{32}{24} = \frac{2 * 2 * 2 * 4}{2 * 2 * 2 * 3} = \frac{4}{3}[/tex]
Answer: D (4/3).
Answer:
3.) Sin C = option D, [tex]\frac{3}{5}[/tex]
4.) Cos A = option C, [tex]\frac{4}{5}[/tex]
5.) Tan C = Option D, [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
3.) Sin C = [tex]\frac{opposite}{hypotenuse} = \frac{27}{45} = \frac{3}{5}[/tex]
4.) Cos A = [tex]\frac{adjacent}{hypotenuse} = \frac{24}{30} = \frac{4}{5}[/tex]
5.) Tan C = [tex]\frac{opposite}{adjacent} = \frac{32}{24} = \frac{4}{3}[/tex]
Hope this helps!
What is the measure of Z ABC ? B 60° 60° c
Answers
Answer:
60°
Step-by-step explanation:
If it a equilateral triangle
if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number
Answers
9514 1404 393
Answer:
900
Step-by-step explanation:
Let x represent the number. The given relationship is ...
(3/5)x = 2 +(2/3)x
-2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides
-30 = x . . . . . . . . . . multiply by 15
Then the square of the number is ...
x² = (-30)² = 900
If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to "complete the square"?
Answers
Answer:
49
Step-by-step explanation:
the number would simply be
14÷2=7
7²=49
Which expression has a value of 7/12?
1. 2 1/12 + 5 1/12
2. 6/8 + 1/4
3. 1/3 + 1/4
4. 7/8 + 4
Answers
Answer: 3. 1/3 + 1/4
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
4/12 + 3/12 = 7/12
What is the coefficient in this equation? 140 - 6 = 28
Answers
Answer:
There is none there is no variable.
Step-by-step explanation:
Hope this helps!!
Answer:
there is no co efficient a co efficient is the constant before the variable when its attached.
Select the equivalent expression.
(6-4.8-7)-°
-2
Answers
Help me out please???
Answers
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = 14.
A family on vacation drove a total round-trip distance of 735.75 miles. They traveled
for 7 hours in one direction and 6.5 hours on the return trip. What was their average
speed for the entire trip?
Answers
Answer:
speed = 54.5 miles/hr
Step-by-step explanation:
speed = distance/time
distaance = 735.75
time = 7 + 6.5 = 13.5
speed = 735.75 / 13.5
speed = 54.5 miles/hr
Find the measure of each angle indicated (quadrilaterals)
Answers
Answer:
The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly. Of the objects that orbit the Sun directly, the largest are the eight planets, with the remainder being smaller objects, the dwarf planets and small Solar System bodies.
Step-by-step explanation:
Answer:
its 75
parallel angle degrees always should be 360
10 gallons to 24 gallons Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
140%
Step-by-step explanation:
find the slant height of a cone whose height is 15 cm and whose radius is 8 cm
Answers
Answer:
Right circular cone
Solve for slant height
l=17cm
r Radius
8
cm
h Height
math question????????
Answers
Answer:
Answer C
Step-by-step explanation:
Answer:
answer c
Step-by-step explanation:
trust me
Integration of ∫(cos3x+3sinx)dx
Answers
Answer:
[tex]\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}[/tex]
Step-by-step explanation:
We need to integrate the given expression. Let I be the answer .
[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]
Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx . Now , Rewrite using du and u .[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]
A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall
Answers
Answer:
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Step-by-step explanation:
Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.
To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?
Proof -
From the given information, the figure becomes
Triangle ABC and Triangle DBE are similar triangle
AC/DE = BC/BE
⇒h/6 = 200/(200-x)
⇒h = 1200/(200 -x)
Now,
Differentiate h with respect to t, we get
[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]
Now,
If the rate of the tip is moving down the wall
At x = 50 feet, dx/dt = 30 feet per second
So,
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]
So, we get
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Aliyah had $54 to spend on 5 bracelets. After buying them she had $4. How much did each bracelet cost? Each bracelet costs Question Blank type your answer... dollars.
Answers
Show how you use the additive inverse to solve the following.
1. 8-9= 8 + (-9) =
2. +5 - (+14) =
4. -10 - (-9) =
3. -23 - (+10)-(-4) =
6. 16 - (+16) =
5. (+17)-(-20) -(+12) =
8. 5-(+7) -(-8)-3-(-6) =
7. - 200-(-120) -- 25 =
10.-18+ (-22) - (-31) =
9. 53-(-17) + (-6) =
Answers
Answer:
1.8-9=8+(-9)=?
2.+5-(14)= -9
3. -10-(-9)= -1
6.16-(+16)= 0
5.(+17)-(-20)-(12)= 25
8.5-(+7)-(-8)-3-(6)=9
7.-200-(-120)-25=105
10.-18+(-22)-(-31)=9
9.53-(-17)+(-6)=64
that's my answer
just need a bit of help
Answers
Answer:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute.
A) What percentage of the tub will be filled after 6 minutes.
B) How many minutes will it take for the tub to be 75% full?
Answers
Answer:
A) 24 ( 4*6)
B) 15 ( 75%of 80 is 60...
60÷4 is 15)
Answer:
The answer is 30%
Step-by-step explanation:
4 times 6=24
24 divided by 80 times 100 is 30
(That's also how to find your percentage on a test)
Frosting Mountain cupcake shop is running low on vanilla. They have 2 cups of vanilla left and each batch of cupcakes needs 1 4 of a cup. How many batches of cupcakes can they make before they run out of vanilla?
Answers
Answer:0.143
Step-by-step explanation:
You went to a bake sale and bought a whole bunch of
yummies!
Cookies were $1 and Brownies were $2. You spent
$13 total.
What are three combinations of cookies and brownies
that you could have gotten?
Write an equation that represents this situation.
Answers
Answer:
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
Step-by-step explanation:
1) You can buy 4 brownies for $2 each = 2*4 = $8
The rest you can buy cookies = 5 cookies = $5
$8+$5=$13
2) You can buy 5 brownies and 3 cookies = $10+$3 = $13
3) You can buy 3 brownies and 7 cookies = $6+$7=$13
Equation: -
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
Solve for c.
a(c+b) = d
Answers
Answer:
c = (d/a) - b
Step-by-step explanation:
a(c + b) = d
Divide both sides by a
c + b = d/a
subtract b from both sides
c = (d/a) - b
7.
Reason The dot plot shows the numbers of pages students
in a class read during their dedicated reading time.
A. How many students are in the class?
B What percent of students read more than 6 pages?
Explain your reasoning
Pages Read During
Dedicated Reading Time
What fraction of the students read less than 5 pages?
D. How many total pages did all of the students read? Show your work
id speaker notes
Answers
Step-by-step explanation:
7equitacion h< y ⚽ de los siguientes dominios
find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5