Answer:
2 and 3
Step-by-step explanation:
In right △ABC altitude overlineBD is drawn to hypotenuse overline{AC} If AD = 5 and BC = 2√ 21, find DC, BD, and ABAB.
Answer:
[tex]\overline {DC}[/tex] = 7
[tex]\overline {BD}[/tex] = √35
[tex]\overline {AB}[/tex] = 2·√15
Step-by-step explanation:
Please find attached the drawing of right triangle ABC created with MS Visio
Let 'x' represent [tex]\overline {BD}[/tex] let 'y' represent [tex]\overline {DC}[/tex], and let 'z' represent [tex]\overline {AB}[/tex], we get;
5² + x² = z²...(1)
x² + y² = (2·√21)² = 84
x² + y² = 84...(2)
84 + z² = (5 + y)²...(3)
From equation (1), we have;
x² = z² - 5²...(4)
From equation (2), and equation (4), we have;
x² + y² = 84 = (z² - 5²) + y² = 84
∴ z² = 84 - y² + 5² = 109 - y²
z² = 109 - y²...(5)
From equation (3), and equation (5), we have;
84 + z² = (5 + y)² = 84 + (109 - y²) = (5 + y)²
84 + (109 - y²) = (5 + y)²
(5 + y)² - (84 + (109 - y²)) = 0
2·y² + 10·y - 168 = 0
y² + 5·y - 84 = 0
y = (-5 ± √(5² - 4 × 1 × (-84)))/(2 × 1)
y = 7, or y = -12
We note that 'y' is a natural number, therefore, the correct option of the two options is y = 7
y = [tex]\overline {DC}[/tex] = 7
From equation (2), we have;
x² + y² = 84
x² = 84 - y² = 84 - 7² = 35
x = √35
x = [tex]\overline {BD}[/tex] = √35
z² = 109 - y²
∴ z² = 109 - 7² = 60
z = √60 = 2·√15
z = 2·√15
z = [tex]\overline {AB}[/tex] = 2·√15.
distance between (20,15) and (10,25)
Answer:
14.14
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(10 - 20)² + (25 - 15)²
√(-10)² + (10)²
√(100) + (100)
√200
= 14.14
Stella wants to buy a $177,000 house, and she is comparing a 7/1 ARM with an interest
rate of 8 75%, amortized over 30 years, with a 7/23 balloon mortgage that has an
interest rate of 8.25%
24. What would Stella's monthly payment be for the 7/1 ARM?
Answer: Are there any answer choices? If there are I could probably help you, thanks <3
Step-by-step explanation:
In 2009, James paid $2281.60 in social security tax. If the tax rate was 6.2% to the maximum of $90,000 that year, what was Faith's taxable income?
Answer:
36,800
Step-by-step explanation:
Taxable income x .062=2281.60
taxable income=2281.60/.062
taxable income - 36,800
What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
Step-by-step explanation: Hope this help :D
Answer:
A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)
Step-by-step explanation:
We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.
When solving binomials, we need to follow the FOIL method :
First - First number in first parenthesis multiplied by first number in second parenthesis
Outer - First number in first parenthesis multiplied by second number in second parenthesis
Inner - Second number in first parenthesis multiplied by first number in second parenthesis
Last - Second number in first parenthesis multiplied by second number in second parenthesis
If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
This follows FOIL entirely from start to finish.
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
This did not follow the Inner part of FOIL.
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
This did not follow the Outer part of FOIL.
I need this solved! FAST! thank you
Answer:
140
Step-by-step explanation:
4 * 4 =16
Right triangle is 10 because 5 *4=10
9 * 9 = 81
7*5=35
16 + 10 + 81 + 35= 142
142 rounded to the nearest ten is 140
please help and show the work, no links :)
Juana is measuring two pyramids whose base are isosceles right triangles. The second pyramid has the same height, but has 9 times the volume. What is the side length of its base
9514 1404 393
Answer:
3 times the smaller triangle base
Step-by-step explanation:
The volume is proportional to the height and to the area of the base.
If the height is unchanged, the larger pyramid must have a triangular base with an area that is 9 times the smaller base area.
Since the bases are similar, the area ratio is the square of the side length ratio. The side lengths of the larger base triangle must be √9 = 3 times the side lengths of the smaller base triangle.
Find the value of the missing indicated angle. Show all work.
Help please ??
Answer:
77.5 degrees
Step-by-step explanation:
sin(90)/42=sin(?)/41
sin(90)/42 times 41=0.9761904
sin^-1(0.9761904)=77.47209456 degrees
please answer 10-14, will give brainliest if correct
Answer:
10. No solutions -- Because 5 can't = 0
11. Infinite Solutions -- Because on both sides of the (=) there is a 10 and a B that (b) and be any # and it will still be =
12. No Solutions -- Because 8 can't = 2
13. One Solution -- Because something (-4) = 9 only one # will fit for x and that # is 13 because 13-4=9
14. Infinite Solutions -- Because both sides of the (=) there is 6z because (3+3) z = (6)z = 6z. and if you but any # for z they will always be =
i need help with this
Answer:
with what???
Step-by-step explanation:
4x-9=3 what's the value of X
Answer:
x=3
Step-by-step explanation:
4x-9=3
4x=3+9
4x=12
x=12/4
x=3
Answer:
x=3
Step-by-step explanation:
1) 4x-9 = 3
2) 4x=12
3) x=3
Check it:
4(3)-9=3
12-9=3 checks :)
what do you call a polygon with nine sides?
a.quadrilateral
b.pentagon
c.hexagon
d.nonagon
Answer: nonagon
Step-by-step explanation: quadrilaterals: a shape that has four sides
hexagon: a shape with 6 sides
pentagon: a shape with 5 sides
nonagon: a shape with 9 sides
So the answer is D
What is the MODE of the data - (12, 8, 6, 12, 16, 12) *
help plsssss
Answer: Mode = 12
Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).
Answer:
12
Step-by-step explanation:
For future reference mode means MOST. So in this data, number 12 is repeated the most. That would mean the MODE is 12.
Good Luck!!!
Ten points! Teresa's family is thinking about buying a family pass to a gym. The pass is $120 for a family of 6. Individual passes are $25 each. How much money can Teresa's family save by purchasing a family pass instead of 6 individual passes?
Answer: If Teresa‘s family bought individual passes it would be $150 so then if you subtract it would be $30. Teres’s family saved 30 dollars.
Step-by-step explanation:
They can save $30
Step-by-step explanation:
If the family pass is $120 and individual passes are $25 dollars.
6 people times $25 dollars = $150
Family pass: $125
$150-$125=$30
which of the following is equivalent to the expression below when x >0?
Answer:
C
Step-by-step explanation:
kkgkckyxitxitzoyfoycyoc
Help I don’t know how to do this
Answer:
y = 140°
Step-by-step explanation:
we know that sum of two opposite interior angles are equal to one exterior
=> y = 120° + 20°
=> y = 140°
hope it helps
help me please i love you<33
Answer:
<B = 95degrees
<D = 137 degrees
Step-by-step explanation:
From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;
<A +<B = 180
85 + <B = 180
<B = 180 - 85
<B = 95degrees
Similarly
<C + <D =180
43 + <D = 180
<D = 180 - 43
<D = 137 degrees
i neeed help with this
Answer:
Definitely point c, because the check means square root of the number. If you look up the square root of 300, then you would get 17.3205080757, in other words point c.
Step-by-step explanation:
Hope this helps!!
This graph shows both a reflection and a
translation. What function is being graphed?
y=-285
y = 3x - 2-1
O
y=-3/x-2-1
y=-3x + 2-1
Answer:
4th choice: y=-∛(x+2) - 1
Step-by-step explanation:
It's horizontal translation to left 2 units and vertical translation down 1 unit from y = -∛x
It's reflection of y = ∛(x-2) - 1 over y axis
-1 2/3 ÷ -2 1/5
answer this and you get 60 points pls hurry
Answer:
0.75757575757
Step-by-step explanation:
What is the domain of f(x) = 9 – x?
Answer:
(-∞,∞)
Step-by-step explanation:
answers are
60m cubed
360m cubed
1130m cubed
2260m cubed
Answer:
≈ 1130 m³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here r = 6 and h = 10 , then
V = π × 6² × 10 = π × 36 × 10 = 360π ≈ 1130 m³
The circle graph shows carla's spending. If she spent a total of $320, how much was spent on food?
Answer:
17, add up all the percentages, then subtract 100 by whatever u got, 100-83= 17
Find the value of x for arc AB = 52
degrees and arc CD = 38 degrees.
Select one:
O A. 31.5 degrees
O B. 90 degrees
O C. 45 degrees
D. 30 degrees
Answer:
The answer of this question is 45°
please help me answer this
Answer:
Angle 3 is 113°
Step-by-step explanation:
Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.
Good Luck!!
Answer:
113°
Step-by-step explanation:
6 & 2 make a 180 ° angle
180-67 = 113
113° = angle 6
angle 6 is equivalent to angle 3
Blake collects stamps. He collected a total of 175 stamps. If 72% of the stamps he collected were
foreign, how many other stamps did he collect?
Blake collected stamps that were not foreign.
(Type a whole number.)
Answer: 49
Step-by-step explanation:
If 72% of the stamps he collected were
foreign, the percentage of the other stamps will be: = (100% - 72%) = 28%
Since the total number of stamps collected are 175, the number of other stamps collected will be:
= 28% of 175
= 28% × 175
= 28/100 × 175
= 0.28 × 175
= 49
Therefore, he collected 49 other stamps that were not foreign
Answer:
answer is c
Step-by-step explanation:
URGENT! PLEASE HELP WITH THIS PROBLEMS.
Show two of the triangles below are similar. Include a similarity statement and show your work to support your statement (blurry numbers are both 8’s).
Answer:
Hypotenus property a2 +b2 =c2
can sombody solve this
Answer:
90 - 43 = x
Step-by-step explanation:
Answer: 47
Step-by-step explanation:
Dude just subtract 43 from 90, since you are given a 90 degree angle.
But if you need the equation: 43+x-7=90
add 43 and (-7) which gives us 36
new equation is now: 36+x=90
move the 36 to the other side
x=54
now plug it in x(54)-7=47
Answer this question to get marked as brainliest!!!!!
Answer:
A
Step-by-step explanation: