LCM: 16r⁴+36r²s²+81s⁴,8r³–27s³,8r²–22rs+15s²
Write an equation of the line below.
Answer:
y=1/2x+4
Step-by-step explanation:
Refer to the picture that given :)
I need help writing the expressions
Answer:
Company a= 15x+10y+25z+75
Company b=20x+10y+30z+60
Step-by-step explanation:
A man travels at 42 degrees northwest, and ends up 8.5 miles west of his starting point. How far did he travel?
Answer:
The man traveled 12.70 miles.
Step-by-step explanation:
We can find the distance traveled by the man knowing:
[tex]d_{W}[/tex]: the distance at the west = 8.5 miles
[tex]\theta_{NW}[/tex]: the northwest angle = 42°
Then by using the following trigonometric identity we have:
[tex] sin(\theta) = \frac{d_{W}}{d_{NW}} [/tex]
[tex] d_{NW} = \frac{d_{W}}{sin(\theta)} = \frac{8.5 miles}{sin(42)} = 12.70 miles [/tex]
Therefore, the man traveled 12.70 miles.
I hope it helps you!
In triangle def the measure of angle F=90 degrees fe=21 df=20cand ed=29 what is the cosine of angle e to nearest hundredth
Answer:
four angles at point B in this second diagram.
Step-by-step explanation:
What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.
A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.
Answer:
A triangle has three congruent sides
Step-by-step explanation:
100% .
the sum of two numbers is 31. if one of these numbers is x and x is 11 more than the other number what is the value of x
Answer:
y equals 17
So the larger of the two numbers is 17.
Step-by-step explanation:
So, here is what is given.
x+y=31
2x=y+11
So if x+y=31, then 2x+2y will equal 62. Replace 2x with what's given.
y+11+2y=62
3y+11 -11 =62 -11
3y=51
y=17.
Alternatively
x+y=31, and 2x=y+11
x -x +y=31 -x
y=31-x
2x=31-x+11
2x +x=42-x+x
3x=42
x=14
2(14)=y+11
28 -11 =y+11 -11
Again, y equals 17.
So the larger of the two numbers is 17.
Which is greater, 4 4/10 or 32/10? Explain how u know.
Answer:
4 4/10
Step-by-step explanation:
Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.
Fractions may be equal or unequal.
[tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]
The fractions are given as:
[tex]\mathbf{F_1 = 4\frac{4}{10}}[/tex]
[tex]\mathbf{F_2 = \frac{32}{10}}[/tex]
Express the fractions as improper fractions
[tex]\mathbf{F_1 = \frac{44}{10}}[/tex]
Both fractions have the same denominator.
So, the fraction with a greater numerator is greater.
By comparison: 44 is greater than 32
i.e. 44 > 32
Hence, [tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]
Read more about fractions at:
https://brainly.com/question/20335146
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded. The solutions to the inequality y ≤ −x + 1 are shaded on the graph.
Which point is a solution?
(2, 3)
(3, –2)
(2, 1)
(–1, 3)
Answer:
B
Step-by-step explanation:
The equation is
y<=-x+1.
We test all and figure that B is correct.
-2<=-3+1
-2<=-2.
Correct!
So the answer is B
Hope this helps ;D
Answer:
Step-by-step explanation:
the answer is bee
use the elimination method to solve the system of equation choose the correct ordered pair 3x+6y=36 3x-6y=0
Answer:
x=6
y=3
Step-by-step explanation:
i u can't open the image i attached, pls inform me
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
Acute not equiangular
Step-by-step explanation:
The angles are all below 90 degrees and are not all the same.
If 5cos^2θ + 6sin^2θ =11/2
, the value of cosecθ =--------
Answer:
[tex]\csc(\theta)=\sqrt{2}[/tex]
Step-by-step explanation:
Please refer to the attachment below.
We have:
[tex]5\cos^2(\theta)+6\sin^2(\theta)=11/2[/tex]
Remember that cosine is the ratio of the adjacent side to the hypotenuse. Therefore:
[tex]\cos(\theta)=\frac{b}{c}[/tex]
And sine is the ratio of the opposite side to the hypotenuse. Therefore:
[tex]\sin(\theta)=\frac{a}{c}[/tex]
Substitute into our original equation:
[tex]5(\frac{b}{c})^2+6(\frac{a}{c})^2=11/2[/tex]
Square:
[tex]\frac{5b^2}{c^2}+\frac{6a^2}{c^2}=\frac{11}{2}[/tex]
Multiply both sides by c squared:
[tex]5b^2+6a^2=\frac{11}{2}c^2[/tex]
Let’s also multiply both sides by 2 to eliminate the fraction:
[tex]10b^2+12a^2=11c^2[/tex]
Remember that according to the Pythagorean Theorem:
[tex]c^2=a^2+b^2[/tex]
Hence, we can make another substitution:
[tex]10b^2+12a^2=11(a^2+b^2)[/tex]
Distribute:
[tex]10b^2+12a^2=11a^2+11b^2[/tex]
Subtract 10b² from both sides:
[tex]12a^2=11a^2+b^2[/tex]
Subtract 11a² from both sides:
[tex]a^2=b^2[/tex]
Take the square root of both sides:
[tex]a=b[/tex]
Hence, a is equivalent to b.
Then, we must have a 45-45-90 Triangle.
Therefore, our angle θ is 45°.
We can substitute this back into our original equation to make sure. Remember that cos(45)=sin(45)=√2/2:
[tex]\begin{aligned} 5\cos^2(45)+6\sin^2(45)&=11/2 \\ 5(\frac{\sqrt{2}}{2}})^2+6(\frac{\sqrt{2}}{2})^2&=11/2 \\ 5(2/4)+6(2/4)&=11/2 \\ 5(1/2)+6(1/2)&=11/2 \\ 5/2+6/2&=11/2 \\ 11/2&=11/2 \;\checkmark \end{aligned} \\[/tex]
Hence:
[tex]\begin{aligned} \sin(45)&=\frac{1}{\sqrt{2}} \\ \Rightarrow \csc(\theta)&=\sqrt{2} \end{aligned}[/tex]
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
he side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube
Answer:
V=(3x+2y)^3
Step-by-step explanation:
V=s^3
s=3x+2y
Substitute
V=(3x+2y)^3
-5.8 C +4.2 subtract 3.1+1.4 C
Answer:
-4.4C+1.1
Step-by-step explanation:
-5.8C+4.2-3.1+1.4C
Add the variables
-5.8C+1.4C
-4.4C
-4.4C+4.2-3.1
Subtract the numbers
4.2-3.1
1.1
-4.4C+1.1
The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4
Answer:
x=19/4
Step-by-step explanation:
The product of 5 and a number x is 1/4
A cuboid with a volume of 374 cm'has dimensions
2 cm, (x + 3) cm and (x + 9) cm.
Show clearly that x2 + 12x - 160 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
WILL MARK BRAINLIEASTT
Answer:
(x+3)(x+9)=x²+12x+27
2x²+24x+54=374
2x²+24x-320=0
x²+12x-160=0
x=-20 x=8
2cm,(-20+3)cm,(-20+9)cm
L=2cm W=-17cm H=-11
Step-by-step explanation:
Expand (x+3) and (x+9) -----> x^2+12x+27
Multiply the answer by two 2x^2+24x+54
Move 374 to the side by taking away ----->54-374=320
Divide the whole equation by 2 ---> x^2+12x-160
Factorise
The Width of cuboid is 11cm and Height of cuboid is 17 cm
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax²+ bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.
Given:
Volume of Cuboid= 374
length= 2cm
width= x+ 3
height= x+ 9
Now, Volume of cuboid= length x width x height
2(x+3)(x+9)=374
2(x² + 12x +27)= 374
x² + 12x +27 = 187
x² + 12x -160=0
Now, factorizing
x² + 20x -8x-160=0
x( x+20) -8(x+ 20)=0
(x+ 20)(x - 8)=0
x= 8 and x= - 20
As. the dimensions cannot be negative.
So, Width= x+3 = 8+3 = 11cm
Height= x+9 = 3+9 = 17 cm
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ2
What are the solution(s) to the absolute value equation below?
Answer:
C
Step-by-step explanation:
Given
5| x - 7 | + 4 = 4 ( subtract 4 from both sides )
5 | x - 7 | = 0 ( divide both sides by 5 )
| x - 7 | = 0, thus
x - 7 = 0 ( add 7 to both sides )
x = 7 ← is the only solution → C
I was constructing towers as you see below. I noticed that each
time I made the tower higher, I had to add more blocks on the
sides to stabilize the structure. I would like to know how many
cubes I will need to build a 5-block high tower and a 10-block
high tower. Generalize, if you can, on how many blocks I will
need for any size tower?
Answer:
is there an equation for this or simple math?
Answer:
5 Blocks=4 blocks (on sides) 10 Blocks=9 blocks (on sides)
Step-by-step explanation:
You subtract one set of blocks (on sides) each time. That's it! Hope this helps!
simplify (4/5-2). ignore this it has to be 20 characters to work
Answer:
-1.2
Step-by-step explanation:
i need help will mark brianlyest
Answer: it is 98
Step-by-step explanation:
Answer:
800
Step-by-step explanation:
There are 40 teachers that work in a school. On
Friday, 26 teachers were present. What percent
of the teachers showed up for work?
Answer:
65% sorry if it isn't right
Find the slope:
(2, 18), (4, 28)
Answer: Okay, I can find the slope, the answer is m=5.
Step-by-step explanation: To find the slope, use this formula:[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Please mark me as brainliest.
The slope as evaluated from the given pair of points is; Slope, m = 5.
Slope of given PointsThe slope of a line defined by two points simply refers to the rate of change of the function given by the line.
Hence, slope, m = (28 -18)/(4 -2)
Slope, m = 10/2Slope, m = 5Read more on slope of given Points;
https://brainly.com/question/3493733
10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)
9514 1404 393
Answer:
area = x(3x +10)
Step-by-step explanation:
The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.
horizontal unmarked = (2x+15) -x = x +15
vertical unmarked = (2x -5) -(x -5) = x
The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.
The whole area is ...
x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)
write this number in scientific notation 56,700,000
Answer:5.67* 10^7
Step-by-step explanation:
Keith decided to do pushups everyday as part of his exercise routine. He started to do 10 pushups today and he will be adding 3 additional counts for each day that his exercise continues. How many pushups will Keith do if he is exactly on his 3rd week of his exercise routine?
Answer:
55 push ups
Step-by-step explanation:
Given that:
Starting count = 10
Additional count = 3
Starting count + (additional count * number of days)
Exactly on the 3rd week = on the 15th day
10 + (3 * 15)
10 + 45
= 55 push ups
72 persons have enough food for 7 days . but after one day they decided to finish the food in 3 remaining days . For if they invited more persons how many persons did they invite?
Answer:
We have been given that
72 persons has enough food for 7days.
After 1 day they decided to finish the food in remaining 3 days.
We need to find number of invitees to finish the food.
After one day there are 72 people and they have food for 6 days.
If people are changed n times, time will change to (1/n) of initial time.
\frac{1}{n}\times 6\ =\ 3n1×6 = 3
Therefore n = 2
Total number of people needed = n × 72
Total number of people needed = 72×2
Total number of people needed = 144
Hence the number of invitees = 144 - 72 =72
72 people are invited to finish the food in 3 days
This is trigonometry and I need to find angle yxz and the answer has to be to 3 sf
Answer:
Below.
Step-by-step explanation:
tan < XYZ = opposite/adjacent
= 8/20 = 0.4.
XYZ = 21.8 degrees to 3 s f.
can i have the answer please
Answer:
x=0,4
Step-by-step explanation:
Ok i figured out the other question with some help but this one is actually confusing to me
BRIANLY I NEED HELP PLS THE RIGHT ANSWER ASP !PLS
Answer:c
Step-by-step explanation:
math