Question

i need some answers checked

Answer 1

@Vocaloid

Answer 2

long time no see, how are you?

Answer 3

notice how these lines can also be drawn, how many are there? (make sure to count the entire line from end to end)

Answer 4

so she's missing 4?

Answer 5

good

Answer 6

good

Answer 7

hm not quite check your calculations again

if it's a parallelogram then BC and AD are equal

therefore

2x - 6 = x + 2

first solve for x, then plug it back into AD

Answer 8

since it's a straight horizontal line you just need to count the number of spaces between A and B

Answer 9

so 3?

Answer 10

3? that's a bit too low

if that doesn't work try finding the difference between the x-coordinates

6 - (-2) = ?

Answer 11

8

Answer 12

good so 8 = your sol'n

going to lunch be back in like half an hour i gues

Answer 13

okay

Answer 14

@Mercury back?

Answer 15

sure what's the next question

Answer 16

good

Answer 17

try to apply this to your problem and set up the appropriate equation

Answer 18

8000 + 239,000?

Answer 19

then multiply it by 239k?

Answer 20

good, almost there

notice that C is the small tangent segment which would correspond to x on your diagram

therefore

x^2 = 239,000(8000+239,000) solve for x

Answer 21

59033000000

Answer 22

close but that's the value of x^2, simply take the square root of that to get x

Answer 23

2.42?

Answer 24

square root of 59033000000
is 242967

which rounds to 243000 to the nearest thousandth as indicated by the problem directions

so 243000 = your sol'n

Answer 25

hm not quite

they state that AC and BD are congruent

so solve 5x + 5 = 4x + 27 for x then plug into bc

Answer 26

22

Answer 27

good then plug that x back into BC

Answer 28

it's asking for the radius not the diameter



compare your equation to this to see what r would be

Answer 29

7

Answer 30

good

Answer 31

hm not quite

for two intersecting chords the angle is the average of the arcs

so add the two given arcs & then divide by 2

Answer 32

116

Answer 33

good that's your sol'n

Answer 34

not quite

let's start by calculating the length of DB

notice that triangle DBA is a right triangle

using the pythagorean theorem & the lengths of AD and AB, what's the length of DB?

Answer 35

about like, 190?

Answer 36

notice that AD and AB are only 5 and 10 so 190 is unreasonable

Answer 37

AD is the hypotenuse while DB and AB are the legs

therefore

AD^2 = DB^2 + AB^2

solve for the length of DB

Answer 38

164?

Answer 39

plugging in the side values

10^2 = DB^2 + 5^2

solve for DB.

Answer 40

ah, alright i got like, 75 x 5

Answer 41

wait, that isnt it..

Answer 42

10^2 = DB^2 + 5^2

subtract 5^2 from both sides

Answer 43

75 and 0?

Answer 44

good so you have

75 = DB^2

solve for DB (leaving in radical form is ok)

Answer 45

notice how you have DB^2

to "undo" a square you just have to take the square root of both sides.

Answer 46

8.66?

Answer 47

so it's 164 then?

Answer 48

good

Answer 49

good

Answer 50

good

Answer 51

?

Answer 52

not quite

the volume of the big box is 8 times bigger but that doesn't mean the lengths are

the ratio of lengths is the cube root of the volume ratio

therefore, find the cube root of 8, then multiply that by the old length

Answer 53

start by finding the cube root of 8.

Answer 54

2

Answer 55

good, so that's the length ratio

if the old length is 10, then the bigger length must be 2*10 = 20 = your sol'n

Answer 56

good

Answer 57

volume = (4/3)pi*r^3

so first find the radius then plug it into the formula

Answer 58

so the radius is half th ediameter right?

Answer 59

yes

Answer 60

0.84

Answer 61

that's the radius, now keep going with the rest of the formula

Answer 62

2.48

Answer 63

good but it wants it to the nearest tenth so 2.5

Answer 64

good

Answer 65

hm, check again, remember it wants the one that's false

sin = opposite/hypotenuse so A is true

try checking B and C

Answer 66

remember cos = adjacent/hypotenuse

from the perspective of angle A is cosA = a/c?

Answer 67

yeah?

Answer 68

notice how side a is the opposite from angle A not the adjacent

Answer 69

cosA would be b/c not a/c since side b is the adjacent side

Answer 70

so B is crossed out?

Answer 71

it's looking for the statement that is false

since we stated that sinA = b/c not a/c statement B is false making it the only possible answer choice

Answer 72

check your calculations again

tan(52) = 12/x

Answer 73

-6.05

Answer 74

make sure your calculator is in degrees mode

Answer 75

1.27

Answer 76

if you have something like

A/B = C

you can switch B and C to get

A/C = B and it's still valid

therefore

tan(52) = 12/x becomes

x = 12/tan(52)

Answer 77

x = 12/tan(52) = ?

Answer 78

you just need to plug this into your calculator, it ends up being 9.4

Answer 79

so that's the solution?

Answer 80

yes.

Answer 81

good

Answer 82

not quite check your calculations again

you just need to break down the shape into the three rectangles given and calculate the area of each rectangle

Answer 83

left rectangle: dimensions: 9 and 6
middle rectangle: dimensions: 5 and 4.5
right rectangle: dimensions: 7.5 and 13

remember that are of a rectangle is L*W

Answer 84

alright,,

Answer 85

so i just multiply all those up?

Answer 86

calculate the area of each rectangle individually, then add the three areas up.

Answer 87

9x 6=54
5 x 4.5 =22.5
7.5 x 13 = 97.5

Answer 88

now add them up

Answer 89

174

Answer 90

good so 174 = your sol'n

Answer 91

hm not quite, check your calculations again

sum of exterior angles is 360 so

2x + 4x + 13 + x + (5x-13) = 360 solve for x

Answer 92

good

Answer 93

for a shape to be a parallelogram ~opposite~ sides need to be congruent not adjacent ones

so the shape shown is a kite not a parallelogram making the original statement false

Answer 94

you don't know any angles so law of sines does not apply here

Answer 95

good

Answer 96

hm not quite

a full circle is 360 degrees

if he only ran 152 degrees of the full arc he ran

(152/360) of the way there

multiply (152)*360 by the circumference to get the solution

Answer 97

5470

Answer 98

*should be (152/360) not 152*360

Answer 99

so (152/360)*circumference

Answer 100

0.42

Answer 101

circumference = 2 * 3.14 * r

(152/360) * 2 * (3.14) * r = ?

Answer 102

3.2

Answer 103

good so 3.2 = your sol'n

Answer 104

not quite, check your calculations again

Answer 105

try to use the diagram to see what the arc would be given your angle A

Answer 106

notice how the arc is twice the length of the angle

Answer 107

so it's double 35?

Answer 108

yes

Answer 109

70

Answer 110

good

Answer 111

those circles are not tangent



to be internally tangent both circles need to share the same tangent line and one circle is inside the other

Answer 112

good

Answer 113

not quite

in a rhombus the diagonals bisect each other

so NL is just one half of JL

now, you have a right triangle on the lower right corner
with legs NK and NL, and hypotenuse KL

solve for NK

Answer 114

19.5?

Answer 115

that's the value of NL, keep going

Answer 116

so...19.5 divide the hypot?

Answer 117

you have a right triangle with legs NK and NL and hypotenuse KL

plug these into the pythagorean theorem and solve for NK

Answer 118

notice, that according to the diagram, KL = JK

Answer 119

as we stated before, KL = JK which equals 21
NL = 19.5

therefore

NK^2 + NL^2 = KL^2

NK + 19.5^2 = 21^2

solve for NK.

Answer 120

60.75

Answer 121

almost, that's NK^2 so just take the square root of that and round to the nearest 10th

Answer 122

8.0

Answer 123

sqrt(60.75) is about 7.79 which rounds to 7.8 not 8

Answer 124

hm not quite you can still make a square if you cut like this

Answer 125

this is hard to visualize but you can also get a trapezoid as the cross section if you tilt the angle a bit

so pentagon is the only one you can't make

Answer 126

it's asking for which one you can't make so pentagon = your sol'n

Answer 127

good

Answer 128

in general angles around a vertex are always equal to 360

Answer 129

since the logo uses two diff. shapes by definition it's not regular and thus the third statement is false

Answer 130

hm not quite

if you notice the line RS can be the hypotenuse of a right triangle with legs 1 and 3, what's the hypotenuse?

Answer 131

6?

Answer 132

if a and b are the legs and c is the hypotenuse

what is the hypotenuse if the legs are 3 and 1?

Answer 133

"the legs are 3 and 1"

"a and b are the legs"

therefore a and b are 3 and 1

solve for c

Answer 134

the formula states that c^2 = a^2 + b^2

plug in a and b into the formula and solve for c.

Answer 135

we have stated that a and b are equal to 3 and 1

therefore

c^2 = 1^2 + 3^2

solve for c.

Answer 136

10?

Answer 137

notice how the formula gives c^2 not c so you have to take the square root at the end

(radical form is ok, let's leave it as sqrt(10))

Answer 138

now repeat this process with ST

Answer 139

calculate the hypotenuse ST of this right triangle in red

Answer 140

if you are having trouble please use our previous calculations of RS as a reference guide

Answer 141

5,5?

Answer 142

we have a right triangle with legs 2 and 6

use the pythagorean theorem to calculate the hypotenuse

Answer 143

as we stated before

a^2 + b^2 = c^2

a and b are the legs

plug in the legs and find the hypotenuse (c)

Answer 144

40

Answer 145

so 20

Answer 146

c^2 = 40

therefore c is the sqrt(40)

now we have the two legs of the big triangle

area of triangle = (1/2)BH = (1/2)sqrt(40) * sqrt(10) = ?

Answer 147

A?

Answer 148

plug (1/2)sqrt(40) * sqrt(10) into a calculator
be careful with parentheses

Answer 149

(1/2) * sqrt(40) * sqrt(10) = (1/2) * sqrt(400) = ?

Answer 150

you just need to calculate the square root of 400 and divide it by 2.

Answer 151

10

Answer 152

good so 10 = your sol'n

Answer 153

nvm it's 8

Answer 154

let's use a square with side length s

the perimeter is 4s

if we double each side (k = 2) to get the new side length 2s

perimeter = 4(2s) = 8s

so the perimeter increases by a factor of k not 2k

Answer 155

check again

the entire line is 10 units

how long is the segment RT?

Answer 156

4

Answer 157

good so the probability is 4/10 not 3/10

or in other words, 2/5

Answer 158

hm not quite

each side is 8 by 8 so each side = 64 ft^2

assuming he only paints the outer four walls,

64 * 4

then divide by 20 since each paint bucket is 20 ft^2 of paint

Answer 159

12.8

Answer 160

good but since we can only buy whole paint buckets round up to 13= your sol'n

Answer 161

good

Answer 162

good

Answer 163

you cannot use triangle sum because you only have one angle known

you have the opposite and adjacent sides, which trig ratio is this?

Answer 164

cos?

Answer 165

notice how tan has opposite and adjacent

so only the first choice is applicable

Answer 166

going to be having dinner see you in a bit

Answer 167

good

Answer 168

it would be a good idea to close this and start on a new question