Answer:
Solution given:
A.coordinate are
A(-2,3)
B(0,-3)
C(4,5)
B.Each length are :
we have
length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
now
AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units
AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
C. the figure:
By using Pythagoras law
base[b]=AB=perpendicular [p]=AC
hypotenuse [h]=BC
we have
h²=p²+b²
substituting value
([tex] 4\sqrt{5} [/tex])²=2p²
16*5=2*([tex] 2\sqrt{10} [/tex])²
80=2*4*10
80=80
SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.
10. Find the total surface area of the triangular prism
shown below.
Answer:
I think its 132.
The total surface area of the triangular prism is 200 cm².
Triangular prism surface areaSurface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
How to find the surface area of the triangular prism?First, find the height of the prism.
Let h is the height of the prism
Use the pythagoras theorem
then
5² = (6/2)² + h²
5² = 3² + h²
25 = 9 + h²
h² = 25 - 9
h² = 16
h =4
Now apply the surface area formula
total surface area = ( 5 + 5 + 6) 11 + 6×4
= 16 × 11 + 24
= 176 +24
= 200 cm²
Hence the surface area is 200 cm²
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Help!!!
Consider the following equation.
2^(x)+3=3^(-x)
If the equation is solved using successive approximation, match the value of x to the following iterations.
9514 1404 393
Answer:
no iterations shown; the root is approximately -1.12911
Step-by-step explanation:
If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...
-1.5, -1.25, -1.125, -1.1875, -1.15625
__
If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...
-1.1905079, -1.1309053, -1.1291151, -1.1291135
Another iteration confirms this last value is accurate to 8 significant figures.
Answer:
-5/4
-9/8
-19/16
Step-by-step explanation:
This is the answer given
230, 200, 170, 140 __ next number sequence ?
Answer:
C. 110
Step-by-step explanation:
It decrease each time by 30
230-30=200
200-30=170
170-30=140
So
140-30=110
110 is the correct answer.
Hope this helps!!
Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6
Answer:
The answer is: u-3>-6
This is because 10-3=7 and 7>-6
What’s the answer to all 4
Answer:
wdym
Step-by-step explanation:
i dont get it
Step-by-step explanation:
1 reflection 2.rotation 3 reflection 4 rotation
Find all solutions to the equation. cos x = -1/2
Answer:
^^
Step-by-step explanation:
Answer:
You didn't add the range. I'll use (0<x<2π)
cosx = -1/2
x=-cos-¹(1/2)
x= -60°
Cosine is negative in the second and 3rd quadrants
180-x ---- Second quadrant
x+180 ----- 3rd quadrant
So
Our answer
180-(-60)=240° or 4π/3 second quad
180+(-60) = 120° or 2π/3---- 3rd quad
please help :) find the area of the regular polygon
9514 1404 393
Answer:
3√3 square units
Step-by-step explanation:
The area of a regular n-sided polygon with radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
For n=3 and r=2, the area is ...
A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)
A = 3√3 . . . . square units
_____
Alternate solution
The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...
b = (2/√3)(3) = 2√3
The area using these dimensions is calculated as ...
A = 1/2bh
A = 1/2(2√3)(3) = 3√3 . . . . square units
Keisha has been given a List of 5 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different bands are possible ? Please help me
Answer:
2
Step-by-step explanation:
because she hast to pick her favorite and second favorite
If APML - ATRO, find QR.
P
35
T
.
14
14
و - r
R
The value of QR in the triangle is 16 units
What is congruent triangle?Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent
The question states that ΔPML≅ΔTRQ
This implies that ML/QR = PM/TR
⇒(7x-9)/2x+2 = 35/14
Cross and multiplying we have
14(7x-9) = 35(2x+2)
=98x-126 = 70x +70
98x-70x = 70+126
⇒28x = 196
Making x the subject of the formula
x= 196/28 = 7
Recall that the side QR = 2x+2
Then by substitution,
2(7) +2
14+2 =16
This therefore keeps the side QR as 16 units.
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ANSWER THISSSSSSSSSS
Answer:
it depends on how its being answered so i'm going to answer its by what i think it is (20)
Step-by-step explanation:
technically is every piece of clothing in one outfit like one different sock to the same parts of an outfit is the same thing right?
i answered this the best i could im sorry if it wrong
Match each interval with its corresponding average rate of change for q(x) = (x + 3)2.
1. -6 ≤ x ≤ -4
2. -3 ≤ x ≤ 0
3. -6 ≤ x ≤ -3
4. -3 ≤ x ≤ -2
5. -4 ≤ x ≤ -3
6. -6 ≤ x ≤ 0
A)-1
B)1
C)3
D)-3
E)0
F)-4
Answer:
When we have a function:
f(x)
The average rate of change in the interval a < x < b
is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Now for each of the given intervals, let's find the average rate of changes.
q(x) = (x + 3)^2
1) -6 ≤ x ≤ -4
[tex]r = \frac{(-4 + 3)^2 - (-6 + 3)^2}{-4 - (-6)} = \frac{1 - 9}{2} = -4[/tex]
here the correct option is F.
2) -3 ≤ x ≤ 0
[tex]r = \frac{(0 + 3)^2 - (-3 + 3)^2}{0 - (-3)} = \frac{9}{-3} = -3[/tex]
Here the correct option is D.
3) -6 ≤ x ≤ -3
[tex]r = \frac{(-3 + 3)^2 - (-6 + 3)^2}{-3 - (-6)} = \frac{9}{3} = 3[/tex]
Here the correct option is C
4) -3 ≤ x ≤ -2
[tex]r = \frac{(-2 + 3)^2 - (-3 + 3)^2}{-2 - (-3)} = \frac{1}{1} = 1[/tex]
Here the correct option is B.
5) -4 ≤ x ≤ -3
[tex]r = \frac{(-3 + 3)^2 - (-4 + 3)^2}{-3 - (-4)} = -1/1 = -1[/tex]
Here the correct option is A
6) -6 ≤ x ≤ 0
[tex]r = \frac{(0 + 3)^2 - (-6 + 3)^2}{0 - (-6)} = \frac{9 - 9}{6} = 0[/tex]
Here the correct option is E.
12^2+b^2=39^2
Need this urgently with an explanation please
Answer:
37.1
Step-by-step explanation:
12²=144
39²= 1521
1521-144 =1377
Then find the square root of 1377
=37.1
Can I please get help with this question on future value of annuities? I also am really confused on how to do the table of values.
Answer:
D
Step-by-step explanation:
I've attached one of those tables below
I'm going to solve this using the FV annuity formula
[tex]R(\frac{(1+i)^n-1}{i})[/tex]
where i is the effective rate of interest
r is the payment
n is the number of periods
to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)
and the number of periods is 4*2 (because there are two periods a year(
[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D
To use the table go to the effective rate of interest (4%) and then number of periods (8)
The number is 9.2142
mulitply that by the payment (1500) and get 13821.3 (D)
*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*
9514 1404 393
Answer:
D. $13,821.30
Step-by-step explanation:
The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.
Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.
That multiplier is 9.2142, so the future value is ...
FV = amount invested per period × multiplier from table
= $1500 × 9.2142 = $13,821.30
__
The above is how you use the table.
You can also choose the correct answer based only on your number sense, without bothering with the table.
You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:
D. $13,821.30
Which choice is equivalent to the expression below
5x sqrt2 - 3 sqrt2 + x sqrt2
Answer:
answer is D I think
Step-by-step explanation:
.............
f^2×f^3
A f^5
B f^6
C (2f)^5
D(2f)^6
Answer:
A) f^5
Step-by-step explanation:
28 minutes to 1 hour simplest form
Answer:
7min:15min
Step-by-step explanation:
28min:1 hour
28min:60 minutes
14min:30min
7min:15min
What is the circumference?
(radius = 4)
Answer:
25.13
Step-by-step explanation:
C = 2πr
C = 2π(4)
C = 25.13
Hope this helps!
Find the value of each variable in the parallelogram
PLEASE HELPPPP!!
Answer:
m = 35
n = 110
Step-by-step explanation:
70/2 = 35
70 + 70 = 140
360 - 140 = 220
220/2 = 110
Write the equation of a line that is parallel to x
= 8 and that passes through the point (-3,-2).
Answer:
x=-3
Step-by-step explanation:
Hi there!
1) Determine the slope
Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.
Now, because this line will also be a vertical line, it will also be organized like:
x=d
2) Determine the x-intercept (d)
Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).
Plug this into x=d:
x=-3
I hope this helps!
what if you have a grade of 80% and you fail a homework of 50 points
Answer:
I don't know but you might end up with a C
Step-by-step explanation:
OR A D
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
It would be the fourth one
Step-by-step explanation:
Amy has a box that is 6 1/2 feet long, 3.25 feet wide, and 2 feet high. What is the volume of the box? V=lwh
Answer:
42.25 feet ³
Step-by-step explanation:
Volume of the box = length × width × height
Length = 6 1/2 feet = 6.5 feet
Width = 3.25 feet
Height = 2 feet
Volume of the box = length × width × height
= 6.5 feet × 3.25 feet × 2 feet
= 42.25 feet ³
Volume of the box = 42.25 cubic foot
33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E
Answer:
ans = <ebc= 115°
hope this will help
.
.
2(n-1)+ 4n= 2 (3n -1)
Answer:
Infinitely many solutions.
Step-by-step explanation:
2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.
2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)
2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.
6n - 2 = 6n - 2 Add 2n + 4n.
-6n -6n Subtract 6n from both sides.
-2 = -2
the answer is infinitely many solutions, meaning that n can be any real number.
If a bracelet costs $50 and there is a 25% off sale, what is the sale price?
Solve for y= 1/2x -1
Name all asymptotes: y =x−3/2x+8
Answer:
x=0
y= x + 8
Step-by-step explanation:
find the oblique asymptotes using long polynomial divison
If c = 4 what is the value of the following expression:
50 - 40 + C*
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
50 - 40 + c
50 - 40 + 4
10 + 4
14
PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER
Answer:
18
Step-by-step explanation:
mark me as
brainliest
18
Answer:
144 ounces
Step-by-step explanation:
Mr. Duncan creates a pop quiz for his students. On the quiz, students must order the following numbers from least to greatest.
– 1.15, V14, 3, -18}
Which list shows the correct response to the question on Mr. Duncan's quiz?
9
0 -1.15, - 18 , V14
O -1.15, -78, 14 , 1
O-V8. - 1.15, 14,
0 -18. - 1.15, , V14
Answer:
im sry but i have no idea
Step-by-step explanation: