Answer:
h= −5/6y (negative 5 y over 6)
Step-by-step explanation:
5y+(2)(5)h=4h
Step 1: Add -4h to both sides.
10h+5y+−4h=4h+−4h
6h+5y=0
Step 2: Add -5y to both sides.
6h+5y+−5y=0+−5y
6h=−5y
Step 3: Divide both sides by 6.
6h/6=−5y/6
h=−5/6y
Answer:
h = - 5y/ 6
Step-by-step explanation:
5y + 2 * 5h = 4h
Using BODMAS
Perform multiplication first
5y + 10h = 4h
Collect like terms
5y = 4h - 10h
5y = - 6h
Divide both sides by - 6
5y / - 6 = - 6h / - 6
h = - 5y/ 6
Whitey needs to paint a block wall that is 75½ feet long. After
several hours he finished ¾ of it. How many feet does he still need to
paint?
Answer:
18.875 feet left, not sure if you need to round that or not
Answer:
18 7/8 feetStep-by-step explanation:
Total length of the wall to be painted = 75 1/2 feet
Already painted part = 3/4 of total length
Remaining part to be painted:
1 - 3/4 = 1/4 of total lengthRemaining part in feet:
75 1/2 * 1/4 = 151/2 * 1/4 =151/8 = 18 7/8 feetMark incorrectly evaluated the expression 4x+12-x to the power of 2 where is x-2. Identify and correct mark’s mistake.
Plsss help mw
Answer:
The value of [tex]4x+12-x^2[/tex] is 16.
Step-by-step explanation:
The given expression is [tex]4x+12-x^2\ at\ x=2[/tex].
Put x = 2 in the above expression as follows :
[tex]4x+12-x^2=4(2)+12-(2)^2\\\\=8+12-4\\\\=16[/tex]
Hence, the final answer is 16.
HELP PRETTY PLEASE ILL GIVE BRAINLIEST
150% of x is 216. What is x?
lamar runs 8 miles a day he wants to know how many miles he ran in a particular month
Answer:
he could run 240 miles in 30 days
Step-by-step explanation:
your welcome
Answer/Step-by-step explanation:
8 (x) = m
-----------------------
8 miles (days of the month) = total miles ran
I need help thank you
Answer:
16n + 41
Step-by-step explanation:
2(-n - 3) - 7(5 + 2n) (Given)
-2n - 6 - 35 - 14n (Distribute)
-16n - 41 (Add like terms)
16n + 41 (Divide by a factor of -1)
Answer:
B. -16n - 41
Step-by-step explanation:
Use the distributive property:
2(-n - 3) - 7(5 + 2n)
-2n - 6 - 35 - 14n
Combine like terms:
(-2n - 14n) + (-6 - 35)
-16n - 41
find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculate the next value.Round your final answer to the nearest 10
Sin(α)=opposite leg/hypotenuse
Sin(63°)=ya/35
ya=35xSin(63°)
ya=31.2
Area(a)= (15.9x31.2)/2
Area(a)=248.0
Now, we proceed to find the area of "b". We already have the length x=15.9, so:
Tan(α)=opposite leg/adjacent leg
yb=15.90xTan(42°)
yb=14.3
Area(b)=15.9X14.3/2
Area(b)=113.7
The total Area (At) is:
At=Area(a)+Area(b)
At=248.0+113.7
At=361.7
10) Triangle "a":
-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(30°)=xa/48
xa=48xCos(30°)
xa=41.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(30°)=y/48
y=48xSin(30°)
y=24.0
-Area of the triangle "a":
Area(a)=41.6x24.0/2
Area(a)=499.2
Triangle "b":
-We have the value of i(y=24).
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(45°)=24/xb
xb=24/Tan(45°)
xb=24
-Area of the triangle "b":
Area(b)= 24x24/2
Area(b)=288
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=499.2+288
At=787.2
11) To find the area of the triangle shown in this exercise, we have to apply the same procedure as in exercise 10:
-Adjacent leg of the triangle "a":
Cos(α) = adjacent leg/hypotenuse
Cos(56°)=xa/14
xa=14xCos(56°)
xa=7.8
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(56°)=y/14
y=14xSin(56°)
y=11.6
-Area of the triangle "a":
Area(a)=7.8x11.6/2
Area(a)=45.2
Triangle "b":
-The value of its opposite leg is y=11.6.
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(46°)=11.6/xb
xb=11.6/Tan(46°)
xb=11.2
-Area of the triangle "b":
Area(b)= 11.6x11.2/2
Area(b)=65.0
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=45.2+65.0
At=110.2
12)-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(54°)=xa/13
xa=13xCos(54°)
xa=7.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(54°)=y/13
y=13xSin(54°)
y=10.5
-Area of the triangle "a":
Area(a)=7.6x10.5/2
Area(a)=39.9
Triangle "b":
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(42°)=7.6/xb
xb=7.6/Tan(42°)
xb=8.4
-Area of the triangle "b":
Area(b)=7.6x8.4/2
Area(b)=31.9
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=39.9+31.9
At=71.8First, it is important to remember that the formula to calculate the area of a triangle is: A=bxh/2
As we can see in the exercises, all the triangles are divided in two triangles. So, let's call "a" to the triangle on the left and "b" to the triangle on the right.
9)To find the area of the triangle "a", we need the lenght of the adjacent leg (x) and the opposite leg (ya):
Cos(α)=adjacent leg/hypotenuse
Cos(63°)=x/35
x=35xCos(63°)
x=15.9
Sin(α)=opposite leg/hypotenuse
Sin(63°)=ya/35
ya=35xSin(63°)
ya=31.2
Area(a)= (15.9x31.2)/2
Area(a)=248.0
Now, we proceed to find the area of "b". We already have the length x=15.9, so:
Tan(α)=opposite leg/adjacent leg
yb=15.90xTan(42°)
yb=14.3
Area(b)=15.9X14.3/2
Area(b)=113.7
The total Area (At) is:
At=Area(a)+Area(b)
At=248.0+113.7
At=361.7
10) Triangle "a":
-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(30°)=xa/48
xa=48xCos(30°)
xa=41.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(30°)=y/48
y=48xSin(30°)
y=24.0
-Area of the triangle "a":
Area(a)=41.6x24.0/2
Area(a)=499.2
Triangle "b":
-We have the value of i(y=24).
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(45°)=24/xb
xb=24/Tan(45°)
xb=24
-Area of the triangle "b":
Area(b)= 24x24/2
Area(b)=288
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=499.2+288
At=787.2
11) To find the area of the triangle shown in this exercise, we have to apply the same procedure as in exercise 10:
-Adjacent leg of the triangle "a":
Cos(α) = adjacent leg/hypotenuse
Cos(56°)=xa/14
xa=14xCos(56°)
xa=7.8
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(56°)=y/14
y=14xSin(56°)
y=11.6
-Area of the triangle "a":
Area(a)=7.8x11.6/2
Area(a)=45.2
Triangle "b":
-The value of its opposite leg is y=11.6.
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(46°)=11.6/xb
xb=11.6/Tan(46°)
xb=11.2
-Area of the triangle "b":
Area(b)= 11.6x11.2/2
Area(b)=65.0
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=45.2+65.0
At=110.2
12)-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(54°)=xa/13
xa=13xCos(54°)
xa=7.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(54°)=y/13
y=13xSin(54°)
y=10.5
-Area of the triangle "a":
Area(a)=7.6x10.5/2
Area(a)=39.9
Triangle "b":
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(42°)=7.6/xb
xb=7.6/Tan(42°)
xb=8.4
-Area of the triangle "b":
Area(b)=7.6x8.4/2
Area(b)=31.9
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=39.9+31.9
At=71.8
Step-by-step explanation:
Given that Cos A=513and angle A is acute. Find the value of 2tan A + 3sin A without using a calculators.
Answer:
This implies that
x2+2ax=4x−4a−13
or
x2+2ax−4x+4a+13=0
or
x2+(2a−4)x+(4a+13)=0
Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.
Hence we get that
(2a−4)2=4⋅1⋅(4a+13)
or
4a2−16a+16=16a+52
or
4a2−32a−36=0
or
a2−8a−9=0
or
(a−9)(a+1)=0
So the values of a are −1 and 9.
Step-by-step explanation:
Answer:
[tex]\frac{492}{65}[/tex]
Step-by-step explanation:
Using the trigonometric identity
sin²A + cos²A = 1 , then
sinA = [tex]\sqrt{1-cos^2A}[/tex] thus
sinA = [tex]\sqrt{1-(5/13)^2}[/tex]
= [tex]\sqrt{1-\frac{25}{169} }[/tex]
= [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex] , then
tanA = [tex]\frac{sinA}{cosA}[/tex] = [tex]\frac{\frac{12}{13} }{\frac{5}{13} }[/tex] = [tex]\frac{12}{5}[/tex]
Thus
2tanA + 3sinA
= 2 × [tex]\frac{12}{5}[/tex] + ( 3 × [tex]\frac{12}{13}[/tex] )
= [tex]\frac{24}{5}[/tex] + [tex]\frac{36}{13}[/tex]
= [tex]\frac{312}{65}[/tex] + [tex]\frac{180}{65}[/tex]
= [tex]\frac{492}{65}[/tex]
Your mixing blue paint and yellow paint to get a total of 28 gallons. You want to use 7 times yellow paint as blue. How many gallons of each should you use ?
Answer:
B = Blue paint = 3.5 gallons
Y= Yellow paint = 24.5 gallons
Step-by-step explanation:
Let B = Blue paint
Y= Yellow paint
Your mixing blue paint and yellow paint to get a total of 28 gallons.
B + Y = 28 gallons
You want to use 7 times yellow paint as blue.
This means, 7B = Y
How many gallons of each should you use ?
Hence,
B + Y = 28
B + 7B = 28
8B = 28
B = 28/8
B = 3.5 gallons
B + Y = 28 gallons
Y + 3.5 gallons = 28 gallons
Y = 28 gallons - 3.5 gallons
Y = 24.5 gallons
B = Blue paint = 3.5 gallons
Y= Yellow paint = 24.5 gallons
x =
Angle measure
in the following picture solve for x
Answer:
x=11
Step-by-step explanation:
3x+28+5x+52+12=180
8x+92=180
-92 on both sides
8x=88
/8 on both sides
x=11
which is bigger -5/4 or 128%?
Answer:
128%
Step-by-step explanation:
Because -5/4 is a negative, no matter what is in front of the % in the128%, as long as it's a positive, it is bigger than -5/4
Tetsuo has 50 arcade tokens . Each arcade game at RetroRamam coast 4 tokens . How many games can Tetsuo play ? (middle school problem 7th grade )
Answer:
he can play 12 games
Step-by-step explanation:
but he is gonna have some tokens left over.
Help me please
|2x + 4| > 8
Answer:
X can be anything above
2
where does (3.5,1.75) go on a coordinate plane?
Please help me with 4 (new)
Answer:
First choice, 47/100
Step-by-step explanation:
16 + 9 + 22 + 26 + 15 + 12 = 100
The even numbers are 2, 4, and 6. They rolled two 9 times, four 26 times, and six 12 times. Added together and they're 47, so 47/100
There's no simplification of this fraction as theres no number that can be used to divide both 47 and 100
Isabel created a scale model of her dad's truck. On the scale model, the length of the truck is 51 inches. The length of the actual truck is 17 feet long.
Which scale did Isabel use to create the scale model of her dad's truck?
Answer:
1 inch = 3ft
Step-by-step explanation:
If you divided 51 feet by 17 inch you will get 3 feet. So 1 inch = 3 feet
NOOB
NEED ANSWERS QUICK! Will give BRAINLIEST!
Answer:
2893.14/321.46=9
Step-by-step explanation:
in 9 months he will run out of money
What is the slope of this graph? And is it continuous or discrete?
Answer: 45 degree and continuous
Step-by-step explanation: i used a protractor
disclamer:pls dont sue me i dont think im right
A caterer is making cookie trays for upcoming holiday parties. This morning, she made 4 small trays and 4 large trays, which contain a total of 236 cookies. In the afternoon, she made 4 small trays and 1 large tray, which contain a total of 116 cookies. How many cookies do the different sized trays contain?
Answer:
The amount of cookies in the small tray = x = 19 cookies
The amount of cookies in the Large tray = y = 40 cookies
Step-by-step explanation:
Let
The amount of cookies in the small tray = x
The amount of cookies in the Large tray = y
We are told:
A caterer is making cookie trays for upcoming holiday parties.
This morning, she made 4 small trays and 4 large trays, which contain a total of 236 cookies.
This is represented Mathematically as:
4x + 4y = 236..... Equation 1
In the afternoon, she made 4 small trays and 1 large tray, which contain a total of 116 cookies.
This is represented Mathematically as:
4x + y = 116 ........ Equation 2
y = 116 - 4x
We solve the above equations using the substitution method
We substitute 116 - 4x for y in Equation 1
4x + 4y = 236..... Equation 1
4x + 4(116 - 4x) = 236
4x + 464 - 16x = 236
Collect like terms
4x - 16x = 236 - 464
-12x = -228
x = -228/-12
x = 19 cookies
Solving for y
y = 116 - 4x
y = 116 - 4 × 19
y = 116 - 76
x = 40 cookies
The number of cookies the different sized trays contained is given as:
The amount of cookies in the small tray = x = 19 cookies
The amount of cookies in the Large tray = y = 40 cookies
C.
Find the value of x3 + 3x²y + 3xy2 + y when x = 3 and y = 4.
涨涨涨涨
Answer:
[tex]x^3 + 3x\²y + 3xy^2 + y[/tex] [tex]=283[/tex]
[tex]When\ x = 3\ and\ y = 4[/tex]
Step-by-step explanation:
Given
[tex]x^3 + 3x\²y + 3xy^2 + y[/tex]
Required
Solve when x = 3 and y = 4
To do this, we simply substitute 3 for x and 4 for y in [tex]x^3 + 3x\²y + 3xy^2 + y[/tex]
[tex]3^3 + 3 * 3^2 * 4 + 3 * 3 * 4^2 + 4[/tex]
[tex]27 + 3 * 9 * 4 + 3 * 3 * 16 + 4[/tex]
[tex]27 + 108 + 144+ 4[/tex]
[tex]283[/tex]
Hence:
[tex]x^3 + 3x\²y + 3xy^2 + y[/tex] [tex]=283[/tex]
[tex]When\ x = 3\ and\ y = 4[/tex]
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
F(4, -1)?
Answer:
right triangle
tep-by-step explanation:
i just took the test and worked this out
Please help
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.
Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.
In this activity, you will determine whether Bruce and Felicia used the same number of tiles and whose tiles cover the most area per tile.
Question - Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Answer:
Yes
Step-by-step explanation:
the equation for Bruce would be 3b+3b-2= numbers of tiles used.
and Felocias equation would be 5b+5= numbers of tiles used
so therefore if there were 7 tiles in each box they both could have used the same number of tiles
Carson’s wheelbarrow can hold 345 pounds. If he has 121 pounds of rock in the wheelbarrow, what number of pounds, p, can he put in the wheelbarrow without going over the weight limit?
Answer:
345 in total. If there are already 121 in: 345-121=224 pounds.
HELP NEEDED!!!
What is the area of the heptagon with the radius of 3.0cm and a perimeter of 20.3cm ??!
Step-by-step explanation:
Side length of heptagon = 20.3cm / 7 = 2.9cm.
The heptagon is made out of 7 congruent triangles, each with height 3.0cm and base 2.9cm
Hence area of heptagon
= 7 * [(0.5)(3.0cm)(2.9cm)]
= 7 * 4.35cm²
= 30.45cm².
Given the definitions of f(x) and g(x) below, find the value of f(g(5)).
N
f(x) = 2x² + 7x + 4
g(2) -x+ 5
Answer:
f(g(5)) = 4
Step-by-step explanation:
It says to find the value of f(g(5)). In this case, we first have to find g(5).
Plug 5 into g(x) = -x+5
g(5) = 0
Now, f(g(5)) is f(0), since g(5) was found out to be 0.
Plug in 0 into 2x² + 7x + 4
2(0)² + 7(0) + 4 = 0 + 0 + 4 = 4
So the answer is 4.
can anyone answer this >?
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b
where m is the slope and b the y- intercept
Answer:
m is the slope of the line and b is constant / y intercept value which shows that the line is passing through origin
Mya wants to buy a sweater from a store. The original price of the sweater is $40. The sweater is on sale for 10% off the original price. How much does Mya pay for the sweater?
Select three ratios that are equivalent to 8:58:58, colon, 5. Choose 3 answers: Choose 3 answers: (Choice A) A 16:1016:1016, colon, 10 (Choice B) B 50:8050:8050, colon, 80 (Choice C) C 48:3048:3048, colon, 30 (Choice D) D 32:2032:2032, colon, 20 (Choice E) E 64:3564:35
Answer:
(Choice A) A 16:10
(Choice C) C 48:30
(Choice D) D 32:20
Step-by-step explanation:
Given ratio
8 : 5
Select three ratios that are equivalent to 8:5
Check all options
(Choice A) A 16:10
= 16 / 10
Dividing by 2
= 8 / 5
= 8 : 5
(Choice B) B 50:80
= 50 / 80
Dividing by 10
= 5 / 8
= 5 : 8
(Choice C) C 48:30
= 48 / 30
Dividing by 6
= 8 / 5
= 8 : 5
(Choice D) D 32:20
= 32 / 20
Dividing by 4
= 8 / 5
= 8 : 5
(Choice E) E 64:35
= 64 / 35
The equivalent ratios to 8 : 5 are
(Choice A) A 16:10
(Choice C) C 48:30
(Choice D) D 32:20
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $4,020?
Answer:
The account will take 7 years to reach a value of $4,020
Step-by-step explanation:
Compound Interest
When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.
It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:
[tex]{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}[/tex]
Calculating:
[tex]{\displaystyle 4,020=2,700\left(1.0045)^{12t}}[/tex]
Dividing by 2,700:
[tex]{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}[/tex]
To solve this equation for t, we need to apply logarithms:
[tex]{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}[/tex]
Applying the logarithm power rule:
[tex]\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045[/tex]
Dividing by 12log 1.0045:
[tex]\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}[/tex]
Calculating:
t= 7.39 years
Rounding to the nearest year, the account will take 7 years to reach a value of $4,020
Answer:
7
Step-by-step explanation:
find the value if x, will give brainliest !!
Answer:
x = 7
Step-by-step explanation:
Since the 2 legs are congruent, then
3x + 12 = 33 ( subtract 12 from both sides )
3x = 21 ( divide both sides by 3 )
x = 7
In the diagram FEL ~ JOS
Which ratios are equivalent to tan F? Select all that apply. (Don’t just choose one)
9514 1404 393
Answer:
EL/EF and OS/OJ
Step-by-step explanation:
In the similar triangles, angle F and angle J have the same measure, so will have the same tangent. The tangent is the ratio of the opposite side to the adjacent one.
In ΔFEL, the desired ratio is ...
tan(F) = EL/EF . . . . . 2nd choice
In ΔJOS, the equivalent ratio is ...
tan(J) = tan(F) = OS/OJ . . . . . 7th choice