Answers
Answer:
the sum of total angles of triangle is 180°.
4x + 3x + 2x = 180°
9x = 180°
x = 180° / 9
x = 20°
4x = 4 × ( 20° )
4x = 80°
3x = 3 × ( 20° )
3x = 60°
2x = 2 × ( 20° )
2x = 40°
Related Questions
find the missing side. Round it to the nearest tenth.
Answers
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answers
Answer:
a= [tex]\sqrt{19}[/tex]
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
a^2+9^2=10^2
a^2+81=100
a^2=19
a=[tex]\sqrt{19}[/tex]
Answer:
b = 4.4 meters
If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.
0.2239
-0.2237
0.2237
0.4951
Answers
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
For the given functions f and g , find the indicated composition. F(x) = -5x + 4, g(x) = 4x + 6 (g∘f)(x)
Answers
Answer:
(g∘f)(x) = -20x + 22
Step-by-step explanation:
(g∘f)(x) simply means g(f(x))
We are given;
f(x) = -5x + 4
g(x) = 4x + 6
Thus;
(g∘f)(x) = 4(-5x + 4) + 6
(g∘f)(x) = -20x + 16 + 6
(g∘f)(x) = -20x + 22
Select whether each equation has no solution, one solution, or infinitely many solutions. No Solution One Solution Infinitely Many Solutions
7x + 14 = 14 x + 7
5 x + 8 = 8 + 5 x
9x = 9 x + 5 17.
Answers
Answer:
Step-by-step explanation:
7x + 14 = 14 x + 7
-7x = -7
x = 1 (one solution)
~~~~~~~~~~~~~~~~~
5 x + 8 = 8 + 5 x
0 =0 (infinite solutions)
~~~~~~~~~~~~~~~~
9x = 9 x + 5 17
0 = 517 (no solution)
Given the following coordinates complete the reflection transformation.
Answers
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 5 ) → A' (- 1, 5 )
B (2, - 3 ) → B' (2, 3 )
C (3, - 5 ) → C' (3, 5 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (- 1, 5 ) → A'' (1, 5 )
B' (2, 3 ) → B'' (- 2, 3 )
C' (3, 5 ) → C'' ( - 3, 5 )
Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.
Answers
Answer:
4 1/3 of her hair
Step-by-step explanation:
Just add 2 1/6 + 2 1/6 and there you go
There is the total amount of her hair she cut
The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)
A. 1.50
B. 1.60
C. 1.75
D. 2.50
E. 3.20
Answers
Let the original price = x
From X to get the new price you multiply by 1 + the percent of the increase which is 25%
1,25X = 2.00
Divide both sides by 1.25:
X = 1.60
The original price was B. 1.60
Answer:
x=1.60
Step-by-step explanation:
Let x be the original price
We increase by 25%
x+ .25x = new price
1.25x = 200
Divide each side by 1.25
x = 2.00/1.25
x=1.60
A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.
Answers
Answer:
3.24 kg
Step-by-step explanation:
internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs
external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs
Vol of thickness = 8160 - 7080 = 1080cm^3
Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg
The diagonals of a rhombus are perpendicular
Answers
Answer:
true
Step-by-step explanation:
Demonstrate on the whiteboard how to find the center and radius of a circle using an equation.
Answers
Answer:
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
hi pls help. pls explain a bit:) thank you
Answers
Answer:
i think this is right i’m sorry if not :)
PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answers
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answers
Answer:
Step-by-step explanation:
When 3 liters of oil are removed from an upright cylindrical can, the level falls by 10cm. Find the radius of the can
Answers
Answer:
9.8 cm
Step-by-step explanation:
Volume of a cylinder can be gotten with this formula
V=πr2h
h = height of the oil.
We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now
h° =( h) - (0.1)
Then the new volume can be calculated as
V°= V - (3×10^-3)
But
volume= (π r2h°)
Then substitute we have
πr2h - 0.003 = π r2 (h-0.1)
If we open the bracket we have
0.003 = (πr2 ×0.1)
πr2=0.003/0.1
Then r=√ (0.03/0.1π)
=9.8 cm
Note that 1L = 10-3 m3
Question 11 of 25
If the point (1, 4) is on the graph of an equation, which statement
must be true?
A. There are solutions to the equation for the values x = 1 and
x = 4.
B. The values x = 1 and y = 4 are the only values that make the
equation true.
C. The values x = 4 and y= 1 make the equation true.
D. The values x = 1 and y = 4 make the equation true.
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
simple : when we have a point defined as (1, 4), it means x = 1, y = 4.
and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.
but there will be usually many other pairs that do that too.
Composition of Transformations - Item 4829
The red figure is the transformed image of the blue figure.
Tanya correctly identifies a sequence of two transformations that can move the blue
figure onto the red figure.
Kurt correctly identifies a single transformation that can be used.
Use the drop-down menus below to complete the statements describing the
transformations they used.
Answers
Answer:
Tanya is reflect y axis and then 90 degrees.
Kurt is reflect over y=x
Have an amazing day! Hope This Helps :)
one week gas was 1.25 per gallon the next week gas was 1.50 per GALLON by what percentage did the price increase
Answers
Answer:
Therefore, the price increased by 20%
Step-by-step explanation:
Initial price = 1.25
Final price = 1.50
so price increased = 1.50 - 1.25
= 0.25
so,
price increased% = (0.25/1.25) × 100%
= 0.2 × 100%
= 20%
For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28
Answers
Answer:
12
Step-by-step explanation:
F(x)=x^2−2x+4
Let x = |-4| = 4
F(|-4|)=4^2−2(4)+4
= 16 -8+4
= 8+4
= 12
GIVING BRAINLIEST TO CORRECT ANSWERS
Answers
Answer:
b is the correct answer
Step-by-step explanation:
solve for x
5x-10>20 or 5x-10≤ -15
A.-5≤x6
B. -1≤x<6
C. x≤-5or x>6
d. x≤-1 or x>6
Answers
Answer:
D
Step-by-step explanation:
For example,
5×7-10>20
5(-3)-10<15
Can anyone help me with this question
Answers
Answer:
60
Step-by-step explanation:
A significant figure means the most important (biggest) number.
As it just wants 1 significant figure, you count 1 to the right and round the 6 up.
Hope this helps :)
While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42
Answers
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store
Give an example of when you would encounter different types of fractions in the
real world.
Answers
Step-by-step explanation:
when I had to share a bar of chocolate with 3 of my cousins....... the bar had a size of 18 cm and there were 3 of us so we divided it by 3 (18÷3) and ended up with 6, so 6cm/cousin..... ..
Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.
Answers
Use the figure to classify the obtuse angle
Answers
Answer:
AOB
Step-by-step explanation:
An obtuse angle is larger than 90 and less than 180
COB = 90
AOB is larger than COB and less than 180
For each question circle the best choice.
Which of the following is an algebraic expression?
x + 5 = 7
5 - 2x = 3
5x + 4- 2x
-2 = 3x +1
Answers
5x+4-2x là biểu thức đại số
Graph the circle defined by the equation (x + 7)2 + (y – 5)2 = 4.
Answers
the center is (-7,5) and the radius is 2
P(x) = x^4 – 2x^3 – 3x^2 + 4
What is the remainder when P(x) is divided by (x – 3)?
Answers
Answer:
4
Step-by-step explanation:
:)
How much should 5x³+3x²-2x+1 be increased to get 6x² +7
Answers
Answer:
-5x³ + 3x³ + 2x + 6
Step-by-step explanation:
if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :
what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?
the answer is
6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =
= -5x³ + 3x³ + 2x + 6
