In the diagram of a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]

Given terms :

[tex]\hookrightarrow \: length = 8 \: in[/tex]

[tex]\hookrightarrow \: width = 2 \: in[/tex]

[tex] \hookrightarrow \: height = 12 \: in[/tex]

we know,

[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]

[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]

[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]

[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]

[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]

____________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Ball distance from ground = 74 feet

Step-by-step explanation:

Given function;'

h(t) = -167(t) + C

t = number of seconds

c = height of the bridge

Find:

Ball distance from ground

If,

c =  260-foot-high bridge

t = 2 seconds

Computation:

h(t) = -167(t) + C

h(2) = -167(2) + 260

h(2) = -334 + 260

h(2) = -74

Ball distance from ground = 74 feet

Answer:

15L

Step-by-step explanation:

divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5

then multiply 2.5 by the amount  of litres it takes for the original 66 km (6L)- 2.5*6 is 15L

Answer:

B. 10d

Step-by-step explanation:

10 times d = 10d

Hope its right

Answer:

should be 359.18876

Step-by-step explanation:

if you round it to the nearest hundredth it will give you your answer in units

Answer:

f(2)f(2) = 49

Step-by-step explanation:

Note that f(2)f(2) is the same as [f(2)]^2.

If f(x) = 5x - 3, then f(2) = 5(2) - 3, or f(2) = 7, and so:

f(2)f(2) = [f(2)]^2 = 7^2 = 49

Thus, f(2)f(2) = 49

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18)  = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

Answer:

50

Step-by-step explanation:

tangent-secant theorem

Answer:

0

Step-by-step explanation:

5.5(-7+7)

5.5(0)

0

Answer:

0

Step-by-step explanation:

putting k = -7

=> 5.5. ( -7 × 7)

=> 5.5 × 0

=> 0

since any number we multiplied by zero is zero

Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

Answer:

x = 12 cm and y = 24 cm

Step-by-step explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]

So, the value of x is 12 cm and that of y is 24 cm.

Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

Answer:

p = 5 and b =8

Step-by-step explanation:

2p + 4b = 42

2p = 42 - 4b

p = 21 - 2b

7p + 9b = 107

7 (21 - 2b) + 9b = 107

147 - 14b + 9b = 107

147 - 5b = 107

-5b = -40

b = 8

2p + 4 * 8 = 42

2p + 32 = 42

2p = 10

p = 5

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

Answer:

See below

Step-by-step explanation:

Remember SOHCAHTOA

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case we use TOA.

tan(71) = x/34

x = tan(71) * 34

x = 98.7

Answer:

x = 38

Step-by-step explanation:

The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

Answer:

sinT = [tex]\frac{15}{17}[/tex]

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = [tex]\sqrt{1156}[/tex] = 34 , then

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

24 is right

Step-by-step explanation:

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5

Answer:

4.2 x 10^5 = 420,000

5.3 x 10^5  = 530.000

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

Answer:

7700.

im not sure if the 00 are to be other numbers but 7700 should be your number

Answer:

The discount is $0.8d.

Step-by-step explanation:

Given that,

The original cost of Tamara's purchase is d dollars​.

Tamara uses a coupon to save 20% off her purchase at the bookstore.

Discount = 20%

Discount is applied to the original cost.

Discount = d-(20/100)d

Discount = 0.8 d

Hence, the discount is $0.8d.

Answer:

Step-by-step explanation:

Answer:

Hello! The slope is 1/2, the B value is 2, and the x- intercept would be -6!

Step-by-step explanation:

Well, the B intercept in the start point, as we can see, this linear equation starts at 2! Also, it is the y-intercept, therefore it intercepts the y-line at 2 if you look closely. For the slope, we can figure this out by picking any two clear points on the graph that the line goes through that is EXACT, (has to be directly on a point that is a whole number), and we do rise over run to calculate the slope! If you are having trouble with that, I suggest watching videos on Khan Academy's website about linear equations/linear graphs! Again, with rise over run, we can figure out the x intercept once it passes over the x intercept! I'm not an expert but I have been in algebra!

Answer:

x=3, y=-1

Step-by-step explanation:

[tex]3x+y=8, 2x-2y=8[/tex]

Double the first equation, then add the second

  6x+2y=16

+ 2x-2y=8

The y's cancel each other out.

8x=24

x=3

Solve for y

6-2y=8

2y=-2

y=-1

Double check:

6(3)+2(-1)=16

18-2=16

Yay!

Answer:

I believe it’s the 3rd option but I’m not completely confident

Step-by-step explanation:

who am I kidding I’m never confident lol

Answer:

289

Step-by-step explanation:

5 people pay 39 each for their bag, so, 5*39 is 195

now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445

the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289

Answer:

18.0

Step-by-step explanation:

The three lines form a right triangle where 10 and 15 are the two legs of the triangle. You can use the pythagorean theorem to solve for the length of x.

x = [tex]\sqrt{15^{2} + 10^{2} }[/tex]

x = 18.028 (approximately 18)

Answer:

no

Step-by-step explanation:

7 squared plus 6 squared is 85 while 16 squared is 256

Answer:

Step-by-step explanation:

Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:

[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:

1.61x = 124.95 so

x = 78 m