Answer:
42 cm^2
Step-by-step explanation:
Base = 21 cm
Height = 4 cm
Area = [tex]\frac{base\times height}{2}[/tex]
Substitute values into the given equation
[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]
please don’t skip over me!
show all work
Answer:
a,c,d
Step-by-step explanation:
[tex]a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9[/tex]
e.
[tex]2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4[/tex]
An angle measures 107.8° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
x=36.1
supplementary angle = 143.9 degrees
Step-by-step explanation:
angle: x
supplementary angle: 180-x
x = (180-x)-107.8
2x = 72.2
x = 36.1 degrees
180-x = 143.9 degrees
supplementary angle = 143.9 degrees
x measures 107.8 less than 180-x
x=180-x-107.8
x=72.2-x
Add x to both sides
2x=72.2
Divide both sides by 2
x=36.1
_________________________________
hope this helps, I just solved this so probably should get it fact checked.
Explain what the intercepts mean in terms of the context and how to find them.
Answer:
Intercepts in terms of graphing are considered to be points at which a function crosses an axis. In the standard x and y graph (the Cartesian coordinate grid), one would find the intercepts by simply plugging in the value of 0 for either the x or the y to find either the y or x intercept respectively. For example, to find the y-intercept, you want to find (0,y) and to find the x-intercept, you want to find (x,0).
Cheers.
Which set of numbers is included in the solution set of 8 - 5x > 23
Answer:5
Step-by-step explanation: because i had this question before
Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?
Answer:
it the first one because if you add 12 + 3 its fifteen and then you divide and compare the two to get the answer
Step-by-step explanation:
what is equivalent to 2 5/9
Answer:
2.555555 ....
Step-by-step explanation:
2 5/9 is a mixed number.
Use your calculator to divide 9 into 5, to find the value of 5/9. Then add 2 to the result:
5/9 = 0.5555555 (repeating fraction)
Adding 2, we get:
2.555555 .... (repeating fraction)
If f(x) = 2x -1, what does f(10) equal?
-1
16
19
33
Asap pls
Step-by-step explanation:
f(x) = 2x - 1
f(10) = 2(10) - 1
= 20 - 1 = 19
Rewrite the expression by factoring out −x4. +5x2−x42−x4
Answer:
783735e826w826
Step-by-step explanation:
1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1
find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)
Answer:
[tex]y = mx + b[/tex]
[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]
PLEASE MARK AS BRAINLIEST
800 students are going on a school trip by bus.
Each bus can carry 34 students.
Work out the smallest number of buses needed to carry all the students.
Answer:
24 buses
Step-by-step explanation:
In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.
800/34=23.5
Since we can't have half of a bus, we round up to 24.
24 buses
Help quick please you don’t have to show work
Answer:
2nd
Step-by-step explanation:
Answer:
B. Between Step 1 and Step 2, combining like terms is used.
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates after both reflections are what
Answer:
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
Step-by-step explanation:
Let be a point [tex](a,b)\in\mathbb{R}^{2}[/tex], reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:
[tex]d = d'[/tex]
[tex]b - 0 = 0 - b'[/tex]
[tex]b' = -b[/tex]
y-Axis reflection:
[tex]d = d'[/tex]
[tex]a - 0 = 0 - a'[/tex]
[tex]a' = -a[/tex]
If we know that [tex]X (x,y) = (3,2)[/tex], [tex]Y(x,y) = (5,-1)[/tex] and [tex]Z (x,y) = (-2, 3)[/tex], the coordinates after both reflections are, respectively:
[tex]X'(x,y) = (-3,-2)[/tex]
[tex]Y' (x,y) = (-5,1)[/tex]
[tex]Z'(x,y) = (2,-3)[/tex]
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
The domain of the function y=3x+1 is 1, 2, 3, 4. What is the range?
Answer:
4, 7, 10, 13
Step-by-step explanation:
Step 1:
3 ( 1 ) + 1 = 4
Step 2:
3 ( 2 ) + 1 = 7
Step 3:
3 ( 3 ) + 1 = 10
Step 4:
3 ( 4 ) + 1 = 13
Answer:
4, 7, 10, 13
Hope This Helps :)
Find the coordinates of the midpoint of a segment with the endpoints (9.–3) and (5,1).
Answer:
(7,-1)
Step-by-step explanation:
Answer:
(7,-1)
Step-by-step explanation:
Midpoint = [(x1+x2)÷2] , [(y1+y2)÷2]
= [(9+5)÷2] , [(-3+1)÷2]
= (7 ,-1)
Calculate the median, the range and identify the Q1 and Q3 for the following set: 5, 1, 6, 8, 1, 7, 4, 5, 6, 11, 3, 4, 4, 2, 5, 5 (hint draw a box and whisker plot)
Answer:
Arrange the data in ascending order
1,1,2,3,4,4,4,5,5,5,5,6,6,7,8,11
n=16
position of median = (n+1)/2 = 17/2 = 8.5 th item
8.5 th item is the average of 8 and 9th item
median = (5+5)/2 = 5
Range = largest value - smallest value
= 11 -1 = 10
position of Q1= (n+1)/4 = 17/4 = 4.25 th item
Q1 = 4 + 0.25(5th item - 4th item )
4 + 0.25(4-3)
= 4.25
position of Q3= (n+1)/4 = 3*17/4 = 12.75 th item
Q1 = 12 + 0.75(13th item - 12th item )
12 + 0.75(6-6)
= 12
Step-by-step explanation:
How many protons would make up 9.435 x 10-22 g?
Answer:
Mass of proton (m) = 1.67×10^(-27) kg
Step-by-step explanation:
Mass of proton (m) = 1.67×10^(-27) kg.
Since, 1 kg = 1000 g
Therefore, m = 1.67x10^(-27+3) g = 1.67x10^(-24) g
Let N no. of protons be present in 1 g. Hence, Nxm = 1 g
So, N = 1 / m = 1 / (1.67x10^(-24))
N = 6x10^(23) (approx.)
Exact mass of proton gives N = 6.022 x 10^(23).
That is a very special no. In fact, it is the Avogadro’s constant used frequently in chemistry. Avogadro’s no. is actually the number of atoms in exactly 12 g of C-12 isotope of carbon. Since, the atomic mass of C-12 is 12 u (unified mass), then again the no. of carbon atoms turn out to be N.
Solve |y-2|<10
please
Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.
Graph a line that contains the point (6,-5)
Answer:
y=-5
Step-by-step explanation:
It must contain (6, -5). Therefore, I went the easy way and created a line that has y = -5 no matter what x is. You can put 0x-5 if you want to make sure the independent variable is x.
Will switching points when calculating distance affect the final answer? Explain. (1 point)
Switching points when calculating distance will affect the final answer because the formula adds the differences of the corresponding X-
and y-values
Switching points when calculating distance will not affect the final answer because the formula adds the differences of the
corresponding X- and y-values.
Switching points when calculating distance will affect the final answer because the formula finds the differences of the corresponding x-
and y-values
Switching points when calculating distance will not affect the final answer because the formula squares the differences of the
corresponding X- and y-values.
Answer:b
Step-by-step explanation:
The table shows the distance that two trains are from Center Station at various times of the day.
Miles From Center Station
Time of day
Train 1
Train 2
11:30
13
7
12:00
31
27
12:45
58
57
How do the speeds of the trains compare?
Train 1 is traveling 1 mile per hour faster than train 2.
Train 1 is traveling 6 miles per hour faster than train 2.
Train 2 is traveling 4 miles per hour faster than train 1.
Train 2 is traveling 5 miles per hour faster than train 1.
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation:
Answer:
Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation
:)))))
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 6 feet per second. The elevator for the miners descends 16 feet per second. One day, the equipment elevator begins to descend. After 28 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 14 seconds? At that time, which elevator is deeper?
Answer:
equipment: -252 feet; miners: -224 feetequipment is deeperStep-by-step explanation:
The attached graph shows the depth of the elevators with respect to the time the miners' elevator started.
After 14 more seconds, the positions are ...
equipment: -6(42) = -252 feet relative to the surface
miners: -16(14) = -224 feet relative to the surface
The equipment elevator is deeper.
If a line contains the point (0,-1) and has a slope of 2 what point is on the line A.(2,1) B.(1,1) C.(0,1)
Answer: B. (1,1)
Step-by-step explanation: If you find slope with the points (0,-1) and (1,1) you will get a slope of 2.
the formula you can use is y2-y1/x2-x1
substitute the values with the 2 points i mentioned
1-(-1)=2
1-0=1
divide 2/1
and you get 2
So B, (1,1) would be your answer.
Consider the steps to solve the equation. 2 5 ( 1 2 y + 20 ) − 4 5 = 9 20 (2y − 1) Distribute: 1 5 y + 8 − 4 5 = 9 10 y − 9 20 What is the next step after using the distributive property? Use the multiplication property of equality to isolate the variable term on one side of the equation. Use the multiplication property of equality to isolate the constant on one side of the equation. Combine the like terms on the right side of the equation. Combine the like terms on the left side of the equation.
Answer: D
Step-by-step explanation:
<3
Answer:
The correct answer is d. Combine the like terms on the left side of the equation.
6) The sum of nine and half a number is thirty-three.
Answer:
Hey there!
9+x/2=33
x/2=24
x=48
The number is 48
Let me know if this helps :)
Tell whether the given angles are vertical angles, a linear pair, or neither.
The given angles are a linear pair
please answer fast!!!According to the Triangle Sum Theorem, which combinations of side lengths would make a possible triangle? Choose all that apply.
Group of answer choices
3, 4, 3.606
3, 6, 9.2
2, 5, 7
3, 4, 5
Answer:
Is there a picture of it?
Step-by-step explanation:
Answer:
3, 4, 5 would be the correct answer.
express the following number in standard form a question 425000
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
By treating savings as an ___ it guarantees that you will save the money instead of spending it
evaluate. (-5)^2 - (-2)^4
Answer:
9
Step-by-step explanation:
(-5)^2=25
(-2)^4=16
so therefore...25-16=9