Answer:
8
Step-by-step explanation:
Factors of 8: 1, 2, 4, 8
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
They do share a few factors but the greatest one shared between the two is 8
Find the exact value of tan 195°.
[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]
[tex]=\dfrac{\left( \sqrt 3-1\right)^2}{\left( \sqrt 3+1\right)\left( \sqrt 3-1\right)}\\\\\\=\dfrac{3+1-2\sqrt 3}{3-1}\\\\\\=\dfrac{4-2\sqrt 3}{2}\\\\\\=2-\sqrt 3[/tex]
You buy tomatoes in 25 lb cases one portion of salad requires. 75 oz of tomatoes how many portions can be made with one case
I neeed hellppppp plissss
Answer:
I believe C is the closest equation to the graph
Step-by-step explanation:
PEMDAS 4+5 x (6-2) what the answer
Answer:4(5x+1)
Step-by-step explanation: you want to subtract the numbers 4+5x(6-2)/4+5x(4) so you'll need to multiply 5 and 4 so 4+5x*4 but i'm goin to make it smaller so it would be 4+20x but you have to rearrange it instead of it being 4+20x it would be 20x+4 .And the common factor would be 4(5x+1).
I hope this helps and makes sense.
Please help! I wish you a good day :)
Answer:
A=p2-2p-3
Step-by-step explanation:
The area for a triangle is given by:
A=1/2bh
The base is p + 1 and the height is 2p - 6. Therefore:
A=1/2(p+1)(2p-6)
Simplify the second term:
A=(p+1)(1/2)(2p-6)=(p+1)(p-3)
Distribute:
A=p(p-3)+1(p-3)
Distribute:
A=p2-3p+p-3
Combine like terms:
A=p2-2p-3
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.How many cookies did Cindy receive? Write your answer as an expression.
Answer: 29 cookies.
Step-by-step explanation: 96/8=32 32-3=29 boom. maths.
The number of cookies baked by Grandma= 96
If she divides them evenly amount 8 children, then by division operation the number of cookies received by each child = (number of cookies) ÷ (number of children)
= (96) ÷ (8) = 12
Since, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.
Hence, the number of cookies received by Cindy = 12-c
When should you suggest that a peer rearrange some of the paragraphs in her report?
when you’re having trouble understanding how the sentences are related to each other
when the most convincing or persuasive evidence appears first in the report, followed by background information
when you find a section that seems unrelated to the rest of the report
The main answer:
D: when you find a section that seems unrelated to the rest of the report
Step-by-step explanation:
I don't have an explanation for this, sorry!)
Hope it helps!
F r o g
Answer:
D: when you find a section that seems unrelated to the rest of the report
Step-by-step explanation:
use Mental Math to determine if the circumference of a circle with a radius of 5in will be greater than or less than 30 in write an argument that can be used to justify your solution
Answer:
It will be greater than 30.
Step-by-step explanation:
(Any following math is easy to do in your head and therefore mental math.)
In order to find the circumference, you multiply the diameter by pi.
The radius is half of the circumference so if you double the radius you get the circumference.
5 × 2 = 10
The default for pi is 3.14, so it's a little more than 3.
10 × 3 = 30
If just 3 is 30, then anything more ( like the 0.14), will make it over 30.
Brainliest please?
Find the slope and the y intercept of the line -7x-2y=10
Answer:
Gradient = -3.5, y - intercept = ( 0 , -5 )
Step-by-step explanation:
→ Rewrite into y = mx+ c format
-2y = 7x + 10
→ Divide everything by 2
-y = 3.5x + 5
→ Multiply everything by -1
y = -3.5x - 5
Vectors r, s, t, u, and v are shown on the graph.
Which of the following vectors is equivalent to 2/3v (Image shown)
For the equation z – 14 = 29. Jaun says that the solution is 33.Check solution work by substitutions it into the equation .Is his solution correct. Explain
Answer:
Jaun's solution is incorrect.
Step-by-step explanation:
If Jaun's solution to the equation is 33, we can check this by substituting z=33 and solving 33 - 14 = 29. Since 33-14=19 and 19 does not equal 29, Jaun's answer is incorrect.
Hope this helps! :)
Need help with the answer
Answer:
sine(∡DAB) = 0.5
Step-by-step explanation:
∡[tex]ACD=[/tex]∡[tex]ADB[/tex] = 60°
∡[tex]DAB=(180-90-60)^{o} =30^{o}[/tex]
[tex]sin(30^{o})= 0.5[/tex]
Hope this helps
how many inches are in 12 ft
Answer:
the answer is 144
Answer:
144 inches
Step-by-step explanation:
There are 12 inches in 1 foot,
So 12 times 12 is 144 inches.
Which of the following will form the composite function G(F(x)) shown
below?
G(Fx)) = 3(/* +1)
A. Fx) = x + 1 and G(x) = 13x
B. Fx) = 3x and G(x) = 5x + 1
C. F(x) = 3x and G(x) = 1
D. F(x) = 5x + 1 and G(X) = 3x
Answer:
Step-by-step explanation:
A
The given composition function is combination is F(x)=√x+1 and G(x)=3x. Therefore, option D is the correct answer.
The given function is G(F(x))=3(√x+1).
F(x)=√x+1 and G(x)=3x
The composite function is G(F(x))
Replace x by √x+1 in 3x, we get
3(√x+1)
Therefore, option D is the correct answer.
To learn more about the composite function visit:
https://brainly.com/question/20379727.
#SPJ7
If r = 11, t = 3, s = 9, then 8r - 10s =
Answer:
-2
Step-by-step explanation:
plug values for r and s into the equation 8r - 10s.
so, 8(11) - 10(9)
88 - 90 = -2
hope this helps!
4 1/2 x 2 1/2 x 8 1/2 =
Answer:
[tex]95\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{2} * 2\frac{1}{2} * 8\frac{1}{2}[/tex] = 9/2 * 5/2 * 17/2
765/8 = [tex]95\frac{5}{8}[/tex]
What is the rule for 1 10 28 64 136
Answer:
2x+8
Step-by-step explanation:
The rule is 2x+8; the formula you have written and erased was correct. The next number in the sequence would be 568
Calculate the value of X
For $1.80 a grocer buys a case of fruit which contains 12 dozen. He knows that 2 dozen will spoil before he sells them. At what price per dozen must he sell the good ones to gain 1/3 of the whole cost?
Answer:
i didnt understand the awnser fully but if i did the awnser is 5 cents a donut
Step-by-step explanation:
what is 6/4 in its simplst form
Answer:
Fraction form: [tex]\frac{3}{2}[/tex]
Decimal form: 1.5
Mixed number form: 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Find the greatest common factor between the two numbers in the fraction, in this case the largest number both can be divided by equally is 2, so,
Take [tex]\frac{6}{4}[/tex] and divide both parts by 2:
6 ÷ 2 = 3
4 ÷ 2 = 2
Which gives you [tex]\frac{3}{2}[/tex]
A recipe uses brown sugar and caster sugar in the ratio 3:2. What fraction of the sugar is caster?
Answer:
2/5 of the sugar is caster sugar
Which expression is equivalent to |x| < 11?
x > –11 or x < 11
x < –11 and x > 11
x < –11 or x > 11
x > –11 and x < 11
Solve the following:
four and seven twelfths plus six and nine twelfths
Ans:
11 and four twelfths
Step-by-step explanation:
doess 0.6 come between 0.5 and 0.55
Answer:
no
Step-by-step explanation:
it comes after both the numbers
What is the measure of the angle?
Answer:
it a 90 degree angle hope this helps:)
Step-by-step explanation:
Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes.
Then she hikes down to an
elevation of 100 feet in 30 minutes.
What is her average rate of descent, in feet per minute, from 150 feet to 120 feet?
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.
How to determine the average rate of descent of a hiker
Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:
r = Δz/Δt (1)
If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:
r = 30 ft/40 min = 0.75 ft/min
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]
To learn more on average rates, we kindly invite to check this verified question: https://brainly.com/question/14712970
Please I need help!!
Answer:
Min:3 Q:66-9 Med:9 Q3:10-14 Max19
Please help! I really need it
To find the volume of a triangular prism:
⇒ necessary to know the formula
[tex]Volume = (Area-of-Triangular- base)*(length)[/tex]
Let's first find the area of the triangular base:
⇒the formula for the finding the area of a triangle is ⇒ [tex]\frac{1}{2}bh[/tex]
b: length of base --> 3mmh: length of height: 6mmArea of the triangle is [tex]\frac{1}{2}*3*6=3*3=9[/tex]
Since the area of the triangular base is 9 and the length is 5.22
⇒ the volume is:
[tex]Volume = 9 * 5.22=46.98mm^3[/tex]
When the volume is rounded to the nearest tenth, the volume is 47.0 [tex]mm^3[/tex]
Hope that helps!
what is this sphere’s volume? radius is given, please round to nearest tenth
Answer:
179.59438
rounded to the nearest tenth would be 179.6
Step-by-step explanation:
use this formula
volume = (4/3) · π · r3
8. Select the expression that is equivalent to 12/48.
A. 6(8+6)
B. 12(4+1)
C. 4(44+3)
D. 8(6+4)
Answer:
D
Step-by-step explanation: