Expression given:-
Substaract 7 from sum of 9 and 8
Convert it to algebraic term
[tex]\\ \sf\longmapsto (9+8)-7[/tex]
First solve the bracket[tex]\\ \sf\longmapsto 17-7[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Rational between √16 and √17
Answer:
41/10
Explanation:
sqrt16 = 4
sqrt17 = 4.12
4.1 = 41/10 and 4<4.1<4.12
help me out please
(geometry)
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)
Step-by-step explanation:
= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2
= 6x^4 - 2x^2 + x
please help me with this
Answer:
4y2 - 12y
Step-by-step explanation:
2+4y-16y+32(Combine like-terms)
2−12y+32(Combine like-terms)
Answer:
The answer is [tex]4y^{2} -12y[/tex]
Step-by-step explanation:
To simplify the polynomial, start by combining like terms. Add [tex]y^{2}[/tex] and [tex]3y^{2}[/tex] to get [tex]4y^{2}[/tex]. Then, subtract [tex]16y[/tex] from [tex]4y[/tex] to get [tex]-12y[/tex]. Finally, the simplified answer is [tex]4y^{2} -12y[/tex].
Can someone please help
Answer:
[tex]162.07[/tex]
Step-by-step explanation:
An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
Substitute,
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
[tex](m<ABD)+(m<DBC)=90[/tex]
[tex]42+(m<DBC)=90[/tex]
Inverse operations,
[tex]42+(m<DBC)=90[/tex]
[tex]m<DBC=48[/tex]
Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.
In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacnet}[/tex]
Substitute,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
Inverse operations,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
[tex]adjacent=\frac{180}{tan(48)}[/tex]
[tex]adjacent=162.07[/tex]
-0.6the decimal in equivalent fraction form
[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]
[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]
Please help!!!!!!!!!!!!!!
Answer:
7^-22
Step-by-step explanation:
Exponent laws.
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
A macaroni and cheese recipe calls for 's of a 2 % pound block of cheese. How many pounds
are needed?
Mr. Williams ask to buy 1/2 of a pan of brownies that is 2/3 full. What fraction of the original pan does he buy?
4/6
Mr. williams wants to buy 4/6
Answer:
there is some missing information here
if the pas is a dozen brownies
1/2 of a pan is 6 2/3 of 6 would be "4"
how much mac-n-cheese are being made?
that information would be needed to solve this
Step-by-step explanation:
Which of the following contains a variable?
A. He scored a 95 on the test.
B. The bug crawled 15 inches per second.
C. The area is 56 square centimeters.
D. Ana is 3 years older than Mark.
Answer:
D. Ana is 3 years older than Mark.
Step-by-step explanation:
We do not know how old Mark is. That is the variable
please help,
all i have is 16 x 33 = 528cm2 ?!!!
Answer:
732 m^2
Step-by-step explanation:
Find the area of the full rectangle
33*24 =792
Find the area of the triangle
24-16 = 8
33 -18 =15
The area of the triangle is
A = 1/2 bh = 1/2 ( 15)(8) = 60
Subtract the triangle from the rectangle
792 - 70=732 m^2
Answer:
732 [tex]m^2[/tex]
Step-by-step explanation:
First we can find the area of the shape if the triangle wasn't there. That would be:
24×33=792.
Then, we can find the area of the triangle to subtract that from the total.
The formula for the area of a triangle is [tex]A=\frac{1}{2} bh[/tex].
So [tex]A=\frac{1}{2} (8)(15)[/tex]
I found the base of the triangle by subtracting 16 from 24.
I found the height of the triangle by subtracting 18 from 33.
Now, solve the equation.
[tex]A=\frac{1}{2}( 120)[/tex]
A=60
Then finally, Subtract 60 from 792.
You get 732.
I hope this helps!
Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
Answer:
25 inches
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + 15^2 = c^2
400 +225 = c^2
625=c^2
Taking the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
In order for the parallelogram to be a rhombus, x=?
Answer:
Step-by-step explanation:
The diagonal must be an angle bisector for a rhombus.
That means that both bisected angles are equal.
2x + 16 = 5x - 8 Add 8 to both sides
2x + 16 + 8 = 5x
2x + 24 = 5x Subtract 2x from both sides
24 = 5x - 2x
24 = 3x Divide by 3
24/3 = x
x = 8
According to the synthetic division below, which of the following statements are true? Check all that apply
The true statements are A , B , E
What is division?It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here, In the synthetic calculation we use the coefficient of the dividend
with the factors of the function
∴ 2 , -2 , -12 are the coefficient of the dividend 2x² - 2x - 12
∵ The divisor is 3
∴ x = 3 is a root of F(x) = 2x² - 2x - 12
∵ x = 3 is the root of F(x) = 2x² - 2x - 12
- Subtract the two sides by 3
∴ x - 3 = 0
∴ (x - 3) is a factor of the dividend F(x) = 2x² - 2x - 12
- The quotient is the last line of the synthetic division
∴ The coefficients of quotient are 2 , 4
- The quotient is 1 degree less than the dividend
∵ The degree of the dividend is 2
∴ The degree of the quotient is 1
∴ The quotient is 2x + 4
* Lets check the answers to chose the write statements
A. The number 3 is a root of F(x) = 2x² - 2x - 12 ⇒ true
B. (x - 3) is a factor of 2x² - 2x - 12 ⇒ true
E. (2x² - 2x - 12) ÷ (x - 3) = 2x + 4 ⇒ true
Thus, the true statements are A , B , E.
Learn more about Division from:
https://brainly.com/question/21416852
#SPJ1
Which situation would be represented by zero?
A) a $3 loss and à $4 profit
B) a $3 loss
C) a $4 loss and a $4 profit
D) a $4 profit
Pls help me I’m timed, I’ll give brainliest
Answer:
C) a $4 profit and $4 loss is the correct answer.
!!ASAP!!
1.
25
40
75
2.
40
75
140
Answer:
C= 40
D= 75
Alternate interior angle
○●○●○●○●○
Hope it helps...
Have a great day!!!
the distance between the points (tan a, 1) , (0,2)
Answer:
Answer
Step-by-step explanation:
please like and mark me brainlist
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?
y – 20
y – 14
y – 8
y – 6
Answer:
Step-by-step explanation:
If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of [tex]y^2-10y+24=0[/tex] is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.
If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:
4| 1 -10 24
____________
The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:
4| 1 -10 24
4
1
Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:
4| 1 -10 24
4 -24
1 -6
And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.
Therefore, the 2 factors that multiply together to give us [tex]y^2-10y+24=0[/tex] are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!
Answer:
its ( y-6 )
Step-by-step explanation:
well if you use the FOIL method you will get that answer. also i took the test and got a 100 so there u go.
please! can somebody help me?
Step-by-step explanation:
The depth of the water is increasing by 2 feet each minute.
SP= 328, Profit = Rs 29
[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]
NEED THIS ASAP :)
What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2
Answer:
4
Step-by-step explanation:
Length of the y component is how far the vector reaches vertically, so in this case it's 4
find the mean of the following 2x-5y,5x+2y,8x+6y,x-y
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
Solve for x. Round to the nearest tenth of a degree, if necessary. Please HELP!
Answer:
x = 29.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos x = adj side/ hypotenuse
cos x = 67/77
Taking the inverse cos of each side
cos^-1( cos x) = cos^-1 (67/77)
x = 29.52626525
To the nearest tenth
x = 29.5
i don't know just curious do you guys still got school?
yes i do got school
and what about you
what is the value of a if va- vh is equals to 1
Answer:
[tex] \displaystyle a = \frac{1+vh}{v}[/tex]
Step-by-step explanation:
we want to figure out a value of a for the following condition
[tex] \displaystyle va - vh = 1[/tex]
to do so factor out v;
[tex] \displaystyle v (a - h )= 1[/tex]
divide both sides by v which yields:
[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]
therefore,
[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]
now,add h to both sides:
[tex] \displaystyle a = \frac{1}{v}+h[/tex]
further simplification if necessary:
[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]
factor out of v
[tex]\sf{v(a-h)=1 }[/tex]Dividing both sides by (v)
[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]cancel out (v)
[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex][tex]\sf{ a-h=\dfrac{1}{v} }[/tex]
add h in both sides
[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]cancelout h
[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex] [tex]\sf{a=\dfrac{1}{v}+h }[/tex] [tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Therefore:-the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]
Which angles are adjacent to each other?
• Angle KGD and Angle AEB
• Angle BEC and Angle AEB
• Angle AEB and Angle ECU
• Angle JCI and Angle KGD
Answer:
Step-by-step explanation:
adjacent angles have a common vertex and a common ray
∠BEC and ∠AEB (common vertex E common ray EB)
In △MNP , point Q is between points M and N, and point R is between points N and P. Point H is the incenter of the triangle, HQ⊥MN, and HR ⊥NP. QN=36 and HN=39 . What is HR ? Enter your answer in the box.
Answer:
15
Step-by-step explanation:
The given parameters are represented by drawing the triangle with the details given using MS Visio
The point Q is located between points M and N in ΔMNP
The point R is located between points N and P in ΔMNP
The incenter of the triangle = H
Line HQ is perpendicular to side MN on ΔMNP
Line HR is perpendicular to side NP on ΔMNP
The length of the segment QN = 36
The length of the segment HN = 39
By Pythagoras' theorem, HQ = √((HN)² - (QN)²)
∴ HQ = √(39² - 36²) = 15
HQ = 15
Given that H is the incenter of ΔMNP, the lengths of the perpendicular from H to the sides of the triangle are equal to the radius of the inscribed circle of the triangle
Therefore, the radius lengths are HQ, and HR
∴ HR = HQ = 15
HR = 15.
please me in the math
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} and \: \\ 4 {x}^{6} - 4 {x}^{x} \\ it \: is \: lcm[/tex]
Answer:
I'm sorry I'm not good at math
Step-by-step explanation:
sorry
Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage
Answer:
$7 is his Hourly Wage.
Step-by-step explanation:
We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.
We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.
98 ÷ 14 = 7