Answer:
40° and 50°
Step-by-step explanation:
90=(x+10)+x
90=2x+10
80=2x
40=x
Therefore the answer is,
40 and 40+10
40° and 50°
Answer:
50° and 40°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x then the other is x - 10
x + x - 10 = 90
2x - 10 = 90 ( add 10 to both sides )
2x = 100 ( divide both sides by 2 )
x = 50
x - 10 = 50 - 10 = 40
The angle measures are 50° and 40°
Solve For x for the remaining problems. You MUST show your work.
Answer:
x = 6
Step-by-step explanation:
All angles of a triangle equal 180
180 - 70 - 60 = 50
8x+2 = 50
x = 6
Answer:
x = 6
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
70 + 60 + 8x + 2 = 180 , collect like terms
132 + 8x = 180 ( subtract 132 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $66, while 10000 shirts can be sold at a price of $48. Give a linear equation in the form p
Answer: p = [tex]\frac{-n}{500} +68[/tex]
Step-by-step explanation:
Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:
p = mn + b, where
m = slope and b is the intercept
From the question, when n = 1000, p = $66
And, when n = 10,000 , p = $48
The formula for finding slope is given as:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
[tex]y_{1} = 66[/tex]
[tex]y_{2} = 48[/tex]
[tex]x_{1} = 1000[/tex]
[tex]x_{2} = 10000[/tex]
substituting the values,
m = [tex]\frac{48-66}{10000-1000}[/tex]
m = [tex]\frac{-18}{9000}[/tex]
m = [tex]\frac{-2}{1000}[/tex]
m = [tex]\frac{-1}{500}[/tex]
The linear equation thus becomes
p = [tex]\frac{-n}{500}+b[/tex]
To find the value of b, substitute p = 66 and n =1000 into the equation
That is,
66 = [tex]\frac{-1000}{500}+b[/tex]
66 = -2 + b
68 = b
Therefore b = 68
The linear equation is therefore
p = [tex]\frac{-n}{500} +68[/tex]
The points A, B and C in 3D space are such that:
• AB = 10mm, AC = 17mm and BC = 28mm.
• The angle of elevation from A to B is 20°.
• The angle of elevation from A to C is 55°.
Find the angle of elevation from B to C, to the nearest degree.
Answer:
Angle of elevation= 180- (20- 55)
180- 75
105°
The ratio of men to women working for a company is 4 to 5. If there are 110 women working for the company, what is the total number of employees?
Answer:
198
Step-by-step explanation:
?/4 110/5
cross-multiply 4*110
440
divide 440/5
88 men
add total employees
110 women + 88 men = 198
help me with this please
Answer: 65
Step-by-step explanation:
Solve for y
A 3
B 5
C 2
D 4
Answer:
y = 4
Step-by-step explanation:
The three lines means those segments are equal
4y+8 = 24
Subtract 8 from each side
4y+8-8 = 24-8
4y = 16
Divide each side by 4
4y/4 = 16/4
y = 4
find three fraction larger than√2 and less than√3
Step-by-step explanation:
the answer is in the image above
At town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?
Answer:
25,160
Step-by-step explanation:
17,000 x 0.04 = 680
Town gains 680 people every year.
After 12 years, town will have 25,160 people.
This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.
3over 7 = blank over 35
Let blank be x
[tex]\\ \sf\longmapsto \dfrac{3}{7}=\dfrac{x}{35}[/tex]
[tex]\\ \sf\longmapsto 7x=35(3)=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{7}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
PLEASE HELP!!
(04.03)
Given the function g(x) = 5(2)^x, compare the average rate of change from x = 1 to x = 2 and from x = 3 to x = 4.
How many times greater is the average rate of change from x=3 to x=4 than from x=1 to x=2?
О 4 times
O 5 times
O 2 times
O The average rate of change of Section B is not greater than the average rate of change of Section A.
Answer: Choice A. 4 times
========================================================
Explanation:
We'll be using this formula
[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]
to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]
Do the same for the AROC from x = 3 to x = 4.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]
The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.
I WILL GIVE YOU BRAINYIST IF YOU ANSWER THIS FOR ME
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Is 12 × –1 positive or negative? positive negative Submit
Answer:
it's a negative number. the answer would be
Step-by-step explanation:
-12
Write a unit rate for each situation . 20$ saved in 4 weeks
Answer:
so the answer is 5
Step-by-step explanation:
20/4=5
Can someone help me with number 8 :(
Answer:
a1=5
d=9-5=4
a20=5+19×4=81
pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's between 0 and 1
Step-by-step explanation:
1/64 = 0.015625
If 3-(x - 2) = 1/27, what is the value of x?
5
3
-1
-5
First, raise the denominator (27) to the power of 1:
3^-(x-2) = 1/27^1
Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:
3^-(x-2) = 27^-1
Rearrange the term so that both equations have the same base:
3^-(x-2) = 3^-3
Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:
-(x - 2) = -3
Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)
-x + 2 = -3
Subtract 2 from both sides:
-x = -5
Finally, it is asking for positive x not negative, so divide both sides by -1:
x = 5
So, the answer is A which is 5.
If 3-(x - 2) = 1/27 then the value of x is a) 5.
To solve for x, we'll follow these steps:
1. Distribute:
Distribute the negative sign into the parentheses:
3 - (x - 2) = 1/27
3 - x + 2 = 1/27
Simplify:
5 - x = 1/27
2. Isolate x:
To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:
5 - x - 5 = 1/27 - 5
-x = -134/27
3. Multiply by -1:
To solve for x, multiply both sides by -1 to isolate x:
-1 * -x = -1 * -134/27
x = 134/27
4. Simplify:
[tex]x = \approx 4.9629[/tex]
Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.
However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.
In summary, while none of the given options is an exact solution, the closest answer is a) 5.
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Complete Question
Choose the correct answer from the given options:
If 3-(x - 2) = 1/27, what is the value of x?
a) 5
b) 3
c) -1
d) -5
george is building a fence at a consent rate of 1/3 section of fence every 1/2 hour at the rate. what fraction represents the section iof fence george can build per hour
Someone help me I will mark you as brain
Answer:
- 1
Step-by-step explanation:
-3 (-3) -10
9 - 10 = -1
hi pls help me thanksss
pls provide me with workings thankss :)
Step-by-step explanation:
(i)
Using cos(a - b) = cos a cos b + sin a sin b
[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]
cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]
(ii)
Using cos(a + b) = cos a cos b - sin a sin b
cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]
(iii)
Using cot a = [tex]\frac{cos a}{sin a}[/tex]
[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]
[tex]=\frac{cos A cos B}{sin A sin B}[/tex]
[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex] [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]
= 3
please give me a brainliest answer
20.7 rounded off to the nearest tens place
Answer:
20
Step-by-step explanation:
Please solve this for me thxs
Answer:
3w + x/z + y
That is simplest form
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree per year.
CLEAR CHECK
1313 inches per year
-0.075 inch per year
0.075 inch per year
3 inches per year
I think it's 0.075 inch per year
Answer:
Your answer is C. or 0.075 inches per year.
Step-by-step explanation:
251-248 = 3 ( To figure out how much it grew )
2005 -1965 = 40 ( To figure out how long it took )
3/40 = 0.075
1/5 divided by 2/3 help meee loll
Answer:
3/10 or 0.3
Hope this helps
the awnser is 0.3 .......................
8z + 6 = 7z + 4
I need help with it please show the steps
Can someone plsss help me with the 2 one
Answer: [tex]\sqrt{73}[/tex] for number 7
Step-by-step explanation:
a²+b²=c²
3²+8²=c²
9+64=c²
[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]
The perimeter of a triangle is 65 cm. The
lengths of the sides are x cm, x+8 cm, and
X+ 12 cm.
What is the length, in cm, of the longest side of
the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The longest side measures :
[tex]27\: \: cm[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Perimeter of a triangle is equal to sum of measures of its all three sides, that is :
[tex]x + x + 8 + x + 12[/tex]and according to the question, the perimeter of the triangle is = 65 cm
so, let's equate both the expressions to find value of x :
[tex]x + x + 8 + x + 12 = 65[/tex][tex]3x + 20 = 65[/tex][tex]3x = 65 - 20[/tex][tex]3x = 45[/tex][tex]x = 45 \div 3[/tex][tex]x = 15[/tex]The longest side of the Triangle is :
[tex]x + 12[/tex][tex]15 + 12[/tex][tex]27 \: \: cm[/tex]27cm
Step-by-step explanation:
(xcm) + (x+8cm) + ( x+ 12cm) = 65cm
Open Bracket
xcm + x+8cm + x+12cm = 65cm
3x+ 20cm = 65cm
Collect like terms
3x = 65cm - 20cm
3x = 45cm
Divide both sides by 3
3x/3 = 45cm/3
x = 15cm
The longest side of the triangle =( x+12cm)
= (15+12)cm= 27cm
Calculate the surface area of the three-dimensional objects below.
May I please receive help?
Please???
Answer:
m1 is 25 and m2 is 50
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
x+2x=75
Which statement correctly compares the shapes of the distributions?
Team A's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
Team B's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 998 100
O A. Team A's scores are symmetric, and team B's are negativ
skewed.
O B. Team A's scores are symmetric, and team B's are positively
skewed.
O C. Team A's scores are negatively skewed, and team B's are
symmetric.
D. Team A's scores are positively skewed, and team B's are
The statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.
How to interpret the distribution shapes?From the complete question (see attachment for box plots), we have the following highlights:
Team A scores has more points at the left. This represents a negative skewTeam B scores has more points at the center. This represents a symmetric skewnessHence, the statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.
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BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
The function is increasing where the slope is positive. The slope is positive from 4 to infinity.
Hope this helps!! :)