Answer:
15
Step-by-step explanation:
prime factorization of 30 is 2*3*5
prime factorization of 75 is 3*5*5
3*5 is common
root 3 cosec140° - sec140°=4
prove that
Answer:
Step-by-step explanation:
We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]
Proof:
From trigonometry identity;
[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]
[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]
From trigonometry, 2sinAcosA = Sin2A
[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]
Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;
[tex]\frac{4(sin(420-140)) }{sin280}[/tex]
= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]
The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that
2x^2 - 5x - 18 = 0 and hence find the value of length AB.
Answer:
The value of AB is 9/2 or 4.5
Answer:
4.5 cm
Step-by-step explanation:
The total area is the sum of areas of two rectangles:
x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2 discarded as negative2x-9=02x=9x=4.5AB=4.5 cmCan someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
B. x + 0.2x
Step-by-step explanation:
0.2 is equal to 20%
x represents the amount of dollars, and 20% of x would be written as 0.2x.
The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.
PLEASE HELP ME FOR 5 POINTS
Answer:-7n-21-8-64n
-71n-29
Step-by-step explanation:
Answer: -71n - 29
Step-by-step explanation:
-7n - 21 -8 - 64n
Collect like terms:
-7n - 64n -21 - 8
X/5=3 anyone know this??
X/2=8.5 and this ??
Answer:
15
17
Step-by-step explanation:
x/5=3 ⇒ x=5*3=15
x/2=8.5 ⇒ x= 2*8.5=17
Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
Answer:
D
Step-by-step explanation:
write 10 examples of cyllnder in your daiy life
Step-by-step explanation:
milk container
a room spray
coke can
Answer:
Pipes
Cold drink cans
Water tanks
Battery
Gas cylinder
Candle
Test tube
Beaker
Fire extinguisher
I will mark you brainliest! How much money did Nikki orginally invest?
Answer:D
Step-by-step explanation:
Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.
Answer:
[tex]C(m)=0.9m^2+0.25[/tex]
Step-by-step explanation:
The surface area of a cube-shaped box with a side of m feet is given by the function:
[tex]S(m)=6m^2[/tex]
The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:
[tex]C ( x ) = 0.15 x + 0.25[/tex]
We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.
In the cost function, C(x), x is the surface area, therefore:
[tex]S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25[/tex]
To find the cost of wrapping a cube of side length m feet, we use the explicit function:
[tex]C(m)=0.9m^2+0.25[/tex]
Use the properties of exponents to determine the value of aa for the equation: Screenshot is below
Answer:
a = -9/20
Step-by-step explanation:
We can evaluate what’s on the left hand side of the equation to get what a is.
The numerator can be expressed as x^(4/5)
The denominator is x^5/4
we use the law of indices to finish this off
That would be;
x^(4/5) ÷ x^(5/4)
Using the second law of indices;
x^(4/5-5/4) = x^-9/20
Since the bases are now equal, then we equate the powers
Thus a = -9/20
What is 3(4a−3)−(6a+5)? (Thank you to everyone for their hard work!)
Answer:
6a−14
Step-by-step explanation:
Answer:
[tex]=6a-14[/tex]
Step-by-step explanation:
[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]
Factor the expression 15x+10 using the GCF.
Help plz ASAP will give brainliest to first who solves!
Answer:
The greatest common factor is 5.
15x+10=5(3x+2)
triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV
Answer:
TV=6 inch
Step-by-step explanation:
If Triangle JKL is similar to Triangle TUV, the following ratio applies.
[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]
What can you say about the value of a if the equation y = ax^2 -8 has no solutions?
Simplify the expression.
4(-8x + 5) - (-33x - 26) =
Answer: x=-46
Step-by-step explanation:
Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):
4(-8x+5)-(-33x-26)=0
-32x+20+33x+26=0
1x+46=0
x=-46
Hope that helps!
Answer:
x+46
Step-by-step explanation:
I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.
Hope this helped!
How old am I if 2 times my age increased by 244 is 400?
Answer:
78
Step-by-step explanation:
400-244=156
156/2=78
Answer:
78 years old
Step-by-step explanation:
400 − 2 x = 244
400 − 244 = 2 x
156 = 2 x
so the answer would be 78 years old...
Hope that was helpful.Thank you!!!
In ΔJKL, the measure of ∠L=90°, KL = 6 feet, and JK = 7 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
40.6 degrees
Step-by-step explanation:
We know:
KL = 6
JK = 7
Angle L = 90 degrees
So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :
[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]
We can find angle K with the following equation:
[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]
Answer:
31
Step-by-step explanation:
\cos K = Adj/Hyp = 6/7
cosK= 7/ 6
K=\cos^{-1}(6/7)
K=cos −1 ( 6/7 )
K=31.0027≈31
Please help with this question
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]
[tex]\frac{5^{8+-2}}{5^4}[/tex]
[tex]\frac{5^{6}}{5^4}[/tex]
[tex]5^{6-4}[/tex]
[tex]5^2[/tex]
[tex]=25[/tex]
Please help!!!!!! !!!!!!!!!!!!!!!!
Answer:
Yes
Step-by-step explanation:
Yes because there is only 1 y value per x value.
Answer:
yes
Step-by-step explanation:
There is a one to one correspondence and this will pass the vertical line test
I NEED HELP! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER + 30 POINTS!!!!
Answer:
l = 20 cm
w = 12 cm
Step-by-step explanation:
P = 64 = 2w + 2l
2w = 4 + l
64 = 4 + l + 2l
64 - 4 = 3l
3l = 60
l = 20 cm
2w = 20 + 4
2w = 24
w = 12 cm
A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.
Answer: 9/10
Step-by-step explanation:
Total cards are 20
Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10
Answer:
Brainliest here! >:D
Step-by-step explanation:
the is a total of 20 cards
2 of them of red
so 18 of the 20 (18/20) is not red
so the probability theroticatily is 9/10 or 90%
Topic: Probability
Only complete question 13.
Answer:
see below
Step-by-step explanation:
Assuming the comma means and
a) P(A , E) = P(A) * P(E) = .1 * .5 = .05
b) P( A, L, E) = P(A) * P(L) *P(E) = .1 *.4* .5 = .002
C This means that it snows in Abbostford, Lehtbridge and Estevan today is .002 or .2%
It is 4 : 12 p.M. 4:12 p.M.4, colon, 12, start text, space, p, point, m, point, end text Emma's mom will be home from work in 70 7070 minutes, and Emma has gymnastics lessons at 6 : 00 p.M. 6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How much time will Emma have between the time that her mom gets home from work and the beginning of gymnastics lessons?
Answer:
40 Minutes.
Step-by-step explanation:
The current time = 4:12 p.M.
Emma's mom will be home from work in 70 minutes.
70 minutes = 1 hour 10 Minutes= 1: 10 Hours
[tex]\left\begin{array}{ccccc}&4&:&12 &p.m.\\+&1&:&10&\\--&--&--&--&--\\&5&:&22&p.m\end{array}\right[/tex]
Therefore, Emma's Mom will get home by 5: 22 p.m.
Emma has gymnastics lessons at 6 : 00 p.M.
To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.
[tex]\left\begin{array}{ccccc}&6&:&00 &p.m.\\-&5&:&22&\\--&--&--&--&--\\&00&:&40&\end{array}\right[/tex]
Emma will have 40 Minutes.
Answer:
38
Step-by-step explanation:
70 mins
=60 mins+10 minutes
=1 hour+10 mins
=1 hour and 10 mins
Hint #22 / 5
\begin{aligned} &4{:}12 + \greenD{1\text{ hour}}=5{:}12\\\\ &5{:}12 +\purpleD{10\text{ minutes}}=5{:}22 \end{aligned}
4:12+1 hour=5:12
5:12+10 minutes=5:22
Emma's mom will be home at 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text
How much time will Emma have between 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text and the beginning of gymnastics lessons at 6{:}00\text{ p.m.}?6:00 p.m.?6, colon, 00, start text, space, p, point, m, point, end text, question mark
Hint #44 / 5
\blueD{8}\text{ mins} + \maroonD{30}\text{ mins} = 38\text{ mins}8 mins+30 mins=38 minsstart color #11accd, 8, end color #11accd, start text, space, m, i, n, s, end text, plus, start color #ca337c, 30, end color #ca337c, start text, space, m, i, n, s, end text, equals, 38, start text, space, m, i, n, s, end text
Hint #55 / 5
Emma will have 38 minutes between the time that her mom gets home from work and the beginning of gymnastics lessons. FROM KHAN ACADEMY THO.
Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?
Answer:
There are 54 total sweets
Step-by-step explanation:
Alex: Stephen : Bridget : total
4: 1 : 1 : 4+1+1 = 6
Alex gets 36
36/4 = 9
Multiply each number by 9
Alex: Stephen : Bridget : total
4*9: 1*9 : 1*9 : 6*9
36: 9 : 9 : 54
There are 54 total sweets
What is the probability of a number less than 4 showing when a number cube is rolled?
Answer:
50 percent
Step-by-step explanation:
Answer: there is a 50% chance
Step-by-step explanation:
there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2
Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
the answer is graph 1
The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base
Answer:
[tex]9\; \rm m[/tex].
Step-by-step explanation:
Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with [tex]\rm 12\; m[/tex]. The three labelled lines in this diagram will form a right triangle.
The line marked as [tex]15\; \rm m[/tex] will be the hypotenuse of this right triangle.The line marked as [tex]12\; \rm m[/tex] will be one of the triangle's legs.The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:
[tex](\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2[/tex].
In this particular right triangle:
[tex](\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2[/tex].
[tex](\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2[/tex].
Therefore, the height of this ridge would be [tex]\sqrt{81}\; \rm m = 9\; \rm m[/tex]. (Note the unit.)
one day sally won the lottery she won 654321 dollars and her brother mark won 76543 dollars how much money is there together?
Answer:
730864
Step-by-step explanation:
654321 +76543=730864
8. Solve for a:
p+q=2ab
[tex]\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}[/tex]
PQ=RQ and PS=RS
What does b=?
[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle b:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
[tex]\angle Q + \angle P + \angle R = 180[/tex]
[tex]\angle Q + 2\angle R = 180[/tex]
[tex]2\angle R = 180-60[/tex]
[tex]\angle R = 60^\circ[/tex]
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
[tex]\angle P + \angle S + \angle R = 180[/tex]
[tex]\angle S + 2\angle R = 180[/tex]
[tex]2\angle R = 180-90[/tex]
[tex]\angle R = 45^\circ[/tex]
Step 4 - Now, the measure of angle b is calculated as:
[tex]\angle b = 60-45[/tex]
[tex]\angle b = 15^\circ[/tex]
The measure of angle b is 15 degrees.
For more information, refer to the link given below:
https://brainly.com/question/7915845
