Answer:
d = 19.8 cm
Step-by-step explanation:
Use the law of cosines
[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]
= 100 + 196 - 280 cos 110
= 296 - (-95.765640)
= 391.765640
[tex]d = \sqrt{391.7656401}[/tex]
d = 19.8 cm
Factorize i) 6y? - 24 y
ii) 6pq - 4q + 6 - 9p
iii) x² + 14xy + 49y?
iv) 25y? - 16
v) 9x? – 30x + 25
vi) p+2p
-15
vii) y + 8y +12
answer for the first one
1) [tex]6 {y}^{2} - 24y[/tex]
[tex] = > 6y(y - 4)[/tex]
2) [tex]6pq - 4q + 6 - 9p[/tex]
[tex] = > (6pq - 4q) + ( - 9p + 6)[/tex]
[tex] = > [2q(3p - 2)] + [- 3( 3p - 2)] [/tex]
[tex] = > 2q(3p - 2) - 3(3p - 2)[/tex]
[tex] = > (3p - 2)(2q - 3)[/tex]
3) [tex] {x}^{2} + 14xy + 49y[/tex]
[tex] = > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2} [/tex]
[tex] = > {(x + 7y)}^{2} [/tex]
[tex] = > (x + 7y)(x + 7y)[/tex]
4) [tex]25 {y}^{2} - 16[/tex]
[tex] = > {(5y)}^{2} - {4}^{2} [/tex]
[tex] = > (5y + 4)(5y - 4)[/tex]
5) [tex]9 {x}^{2} - 30x + 25[/tex]
[tex] = > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2} [/tex]
[tex] = > {(3x - 5)}^{2} [/tex]
[tex] = > (3x - 5)(3x - 5)[/tex]
6) [tex] {p}^{2} + 2p - 15[/tex]
[tex] = > {p}^{2} + 5p - 3p - 15[/tex]
[tex] = > p(p + 5) - 3(p + 5)[/tex]
[tex] = > (p + 5)(p - 3)[/tex]
7) [tex] {y}^{2} + 8y + 12 = 0[/tex]
[tex] = > {y}^{2} + 2y + 6y + 12[/tex]
[tex] = > y(y + 2) + 6(y + 2)[/tex]
[tex] = > (y + 2)(y + 6)[/tex]
Find the inverse. Then, graph both the function and its inverse.
y = 3x2
Answer:
y = 6
may help you i think so
PLZ PLZ PLZ SOMEBODY ANSWERS THIS!!!!
Answer:
C
Step-by-step explanation:
Answer: It's C.
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppp
Answer:
The second statement.
Step-by-step explanation:
Once it gets to 10, if you keep multiplying by 2 it will always end in 0.
Bill weighs 120 lb and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month.
How much will Bill and Phil weigh when they weigh the same amount? Answer (write the number only)
Answer:
180 pounds
Step-by-step explanation:
In six months Bill's weight will be increased by 60 pounds
10 pounds*6 months=60 pounds
120+60=180
In six months Phil will lose 24 pounds decreasing his weight from 204 to 180
4 pounds*6 months=24 pounds
204-24=180
Answer:
180 lbs
Step-by-step explanation:
204-24= 180
120+60=180
multiply each by 6
2x²-19x+42 (Factor Completely)
[tex]\tt{} {2x}^{2} - 19x + 42[/tex]
[tex]\tt{} {2x}^{2} - 7x - 12x + 42[/tex]
[tex]\tt{}x \times (2x - 7) - 6(2x - 7)[/tex]
[tex]\tt{}(2x - 7) \times (x - 6)[/tex]
how would i be able to awser this?
Answer:
1872 in
Step-by-step explanation:
156 ft x 1ft = 156ft cause if you multiply 1 with any number its what ever number you multiplied 1 with.
7=100z what does z equal?
Answer:
z = 7/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
7/100z
1/4 of the sum 18 and 6
Answer:
18+6=24 then 24/4=6
Step-by-step explanation:
calculate the profit as a percentage of the cost price ,and correct to one decimal place
Answer:
(profit / cost price) * 100
Answer:
I could be 0.4 100= 40% I think I'm right but if I'm not I'm so sorry
A right-angle triangle, with two sides adjacent to the right angle labeled x and y respectively, and the hypotenuse is labeled 12 times square root of 3. The angle between the hypotenuse and the side labeled x measures 30 degrees. Find the values of $x$ and $y$ . Write your answers in simplest form.
Answer:
y = 6(sq rt 3)
x = 18
Step-by-step explanation:
y = (0.5)(12)(sq rt 3) = 6(sq rt 3)
x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324
reduced
x = 18
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of x and y is 18 and 6√3 units respectively.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let the side with label x be the base of the triangle and y be the perpendicular.
As the length of the base is x while the angle is 30°, and the length of the hypotenuse is 12√3, therefore, the value of x can be written as,
[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos (30^o)=\dfrac{x}{12\sqrt3}\\\\\\Cos (30^o) \times {12\sqrt3}={x}\\\\x = {12\sqrt3} \times \dfrac{{\sqrt3}}{2}\\\\x = 18[/tex]
Now, as we know that the length of the perpendicular side is y, therefore, the value of y can be written as,
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin (30^o)=\dfrac{y}{12\sqrt3}\\\\\\Sin (30^o) \times {12\sqrt3} ={y}\\\\\\y = \dfrac{1}{2} \times 12\sqrt3\\\\\\y = 6\sqrt3[/tex]
Hence, the value of x and y is 18 and 6√3 units respectively.
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
Which statement about this table of values is true?
A.Because the rate of change is constant, the function is linear
B.Because the rate of change is constant, the function is nonlinear
C.Because the rate of change is not constant, the function is linear
D.Because the rate of change is not constant the function is nonlinear
Answer:
D
Step-by-step explanation:
If something is not constant we know it is non-linear. We know this is not constant because when graphed, the line is not straight.
Answer:
D.
Step-by-step explanation:
Here the rate of change is not constant. For example:
10-5 / 20-17 = 5/3
13-10/23-20 = 3/3 = 1
If you roll the 2 6-sided dies, what is the probability of rolling an odd number?
Answer:
50%
Step-by-step explanation:
ANSWER NOW PLEASE.Solve this system of equations with substitution
x = y - 4
2y = x
Answer:
Step-by-step explanation:
brain chooses an integer, multiplies it by 4 then subtracts 30. He then multiplies his answer by 2 and finally subtracts 10. His answer is two digest number.
What is the largest integer he cold have chosen?
(lots of working's out plz)
thx =]
Answer:
4x-30=2-10
4x= 2-10+30
4x= 2-40
4x=-38
x-38/4
Find the value of x. Round your answer to the nearest tenth.
Answer:
1.6
Step-by-step explanation:
Find the number in the tenth place
6
and look one place to the right for the rounding digit
2
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
1.6
Can someone explain me how to do this? No answers, just explanation how to solve. Click on the picture to see the question.
Answer:
800 cm
Step-by-step explanation:
x = height of lamp post
set up a proportion:
90/160 = 450/x
cross-multiply:
90x = 72000
x = 800
Answer:
Since you did not want the answer the things you need to solve this question are below.
Step-by-step explanation:
In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.
find volume of a cone
A cone with diameter 10 mi and a height of 10 mi.
A) 233 mi3
B) 195.7 mi3
C) 261.8 mi3
D) 97.9 mi3
Answer:
volume = 261.79938779915 m3
Step-by-step explanation:
And rounded to nearest number is 261.8 mi3 or answer b.
WHO EVER ANSWERS THIS WILL GET BRANLIEST
Answer: Its C
Step-by-step explanation:
24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32 + 33 + 34 ÷ 11 = 29
Answer:
c
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Set 1
sum = (2 × 27) + (2 × 28) + (3 × 29) + (2 × 30) + (1 × 33)
= 54 + 56 + 87 + 60 + 33 = 290
The count is 10 ( number of dots ), then
mean = [tex]\frac{290}{10}[/tex] = 29
Set 2
sum = (4 × 24) + (4 × 25) + (2 × 27)
= 96 + 100 + 54 = 250
The count is 10 ( number of dots ), then
mean = [tex]\frac{250}{10}[/tex] = 25
!!!!!!PLS HELP!!!!!!
Answer:
55%
Step-by-step explanation:
1/4 - Micah will only have a 25% chance of selecting a blue pencil.
1/5 - Micah will only have a 20% chance of selecting a red pencil.
So, to conclude this, Micah only has a 55% chance of selecting a yellow pencil.
Help lovelies of brainly
Find the diameter of the circle. please.
Answer:
4
Step-by-step explanation:
2*radius
Answer:4
Step-by-step explanation:
2*2=4
please help. im completey lost
Answer:
I had it before and it is 15 ft²
Sharon tried to solve an equation step by step.
all Sumi
9 = -3(e - 2)
mbining
9-3e + 6
Step 1
he distrib
15 - 3e
Step 2
5=e
nterpretin
Step 3
Find Sharon's mistake.
O 1.5
Choose 1 answer
Ron has £28
On Friday, he spent of his money.
On Saturday, he spent of his remaining
money and gave £2 to his sister.
On Sunday, he spent of his remaining
money.
How much money does Ron have left?
What fraction of his original amount is
| this?
This is of a set of beanbags.
Type here to search
Answer:
the answer is 2/5
Step-by-step explanation:
Which of the following is the graph of y = - 4sqrt(x)
The graph that looks like this
Answer: D
Step-by-step explanation:
I think
What number should go in the space?
Multiplying by 0.64 is the same as decreasing by _____%.
Answer:
36
Step-by-step explanation:
100% - 36% = 64%
This answer is correct 101% trust me!
The sum of the lowest prime number and 5 is equal to
which of the following?
Answer:
7
Step-by-step explanation:
They only have to 2 factors for example: 2,3,5,7,11
Answer:
h.7
Step-by-step explanation:
2 is the lowest prime # and the sum of 2 and 5 is 7
14=s/3 what does s equal
===============================================
Explanation:
To isolate s, we need to undo the division. We'll multiply both sides by 3
14 = s/3
3*14 = 3*(s/3)
42 = s
s = 42
-------
As a check,
14 = s/3
14 = 42/3 .... replace s with 42
14 = 14
We get the same thing on both sides, so this confirms we have the correct value of s.
is this an exponential function?
Answer:
I believe so! good luck!
Step-by-step explanation:
