3) Assume the point of tangency at the
diameter. Solve for the value of x (be
careful, there is a trick!)
18
7.1

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be performed:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Question:

What is the greatest common factor (GCF) of 24 and 40?

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40=2×2×2×5

24=2×2×2×3 then we take the common 2×2×2=8

Answer:

HK=66°

Step-by-step explanation:

Based on the diagram, we know the two sides of the arcs are equal.  So we set up an equation that solves for x, then plug it back into one of the sides, and double it.

x+20=6x-45

65=5x

x=13

x+20=33

33x2=66

Answer:

93

Step-by-step explanation:

(85 + 92 + 87 + 93 + 90 + x)/6 = 90

(447 + x)/6 = 90

multiply both sides of the equation by 6:

447 + x = 540

subtract 447 from both sides:

x = 93

Answer:

x=2.83

Step-by-step explanation:

The solution to the equation, rounded to two decimal places, is x = 2.83.

The correct answer is option B: x = 2.83.

To solve the equation 5 + 6·log2(x) = 14 and round the answer to two decimal places, we can follow these steps:

1. Subtract 5 from both sides of the equation: 6·log2(x) = 9.

2. Divide both sides of the equation by 6: log2(x) = 9/6.

3. Simplify the right side: log2(x) = 1.5.

To find the value of x, we need to rewrite the equation in exponential form.

Remember that log2(x) = y is equivalent to [tex]2^y= x[/tex].

4. Rewrite the equation in exponential form: [tex]2^{1.5} = x[/tex].

5. Calculate the value of [tex]2^{1.5}[/tex] using a calculator or by approximating: x ≈ 2.83.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ4

Answer:

$77

Step-by-step explanation:

Okay so first, we know that the bicycle is 220 dollars. So we got to  multiply that to the percent. We can't muiltiply it into the percent yet so we turn that percent into 0.35

220 * 0.35

This equals to 77. That's the answer but it's not that simple, cause we aren't finished!

So we know that 35 percent of 220 is 77 dollars. So subtract that to 220!

220 - 77

This is equal to 143. Now how much will he save? He will save 220 - 143, which is 77! That's how we know the answer! I'm sure this is correct, if itsn't please comment! Have a great day!

Answer:

$143

Step-by-step explanation you wanna see how much 35% is out of 220

35% = 0.35

220 * 0.35 = 77 = discount

Now you want to see how much it will be when the discount is applied

220-77 = 143

The bicycle is $143 when discount is applied, you save $77

If there are nine people in a square, then there will be 3 rows and 3 columns.

Because 3² = 9 or √9 = 3

Answer:

Step 3: record transactions into the journal; Step 4: post entries into the ledger

I think you are happy with this answer

Answer:

what are you trying to do or say

Answer:

8.5 in

Step-by-step explanation:

You are solving for the hypotenuse right? So you would use this formula:

c = square root a^2+b^2

the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!

x = square root 4^2 + 7.5^2

x = square root 16 + 56.25

x = square root 72.25

x = 8.5 inches

Answer:

100cm

Step-by-step explanation:

Because 50x2=100 cm

24

6x4

-

6

+

6

+

6

+

6

=

24

4x6

=

24

Answer:

The answer is D

Step-by-step explanation:

Answer:

24π cm³

Step-by-step explanation:

Given the following data;

Radius, r = 3 cm

Height = 8 cm

To find the volume of a cone;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the equation, we have;

[tex] Volume = \frac{1}{3} * \pi * 3^{2}*8 [/tex]

[tex] Volume = \frac{1}{3} * \pi *9 *8 [/tex]

[tex] Volume = \pi * 3 *8 [/tex]

Volume of cone = 24π cm³

Step-by-step Answer/Explanation(answers are underlined and bolded):

okay, first you want to identify all the numbers and what they mean:

lawyers:235  (within the main number of lawyers: Criminal lawyers: 74)

Family doctors: 87

Sergeons: 30

From there, add up all of said numbers (ignore the Criminal lawyers for now):

235 + 87 + 30 = 352

(352 is going to be the denominator or the number that we are going to be dividing from.)

Next, we start answering the questions!

the first one is asking for the percent of sergeons.

To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:

30/352 = .0852

then multiply this by 100:

.0852 x 100= 8.52%

So the percent of sergeons is 8.52%

Next question: the percent of Family Doctors

so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:

87/352 = .2472

.2472 x 100 = 24.72%

Meaning the percent of family doctors is 24.72%

Criminal Law is next:

repeat the steps in the last couple of problems:

72/352 = .2045

.2045 x 100 = 20.45%

Family Law:

Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.

235 - 72 = 163

now repeat the steps from the earlier problems:

163/352 = .3864

.3864 x 100 = 38.64%

(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)

Answer:

x=-4

Step-by-step explanation:

The two lines are parallel, so the two angles, 45 and x+49 are equal too

Lets make the equation

x+49 = 45

x = 45-49

x = -4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Given:

In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.

To find:

The cosecant of ∠P.

Solution:

In a right angle triangle,

[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]

It is also written as:

[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]

In triangle PQR, QP is the hypotenuse because ∠R=90°.

[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]

[tex]\text{cosec}P =\dfrac{85}{13}[/tex]

Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].

Answer:

168 yd²

Step-by-step explanation:

1) Dark Grey:

[tex]A_1 = 2(2 * 9) = 2* 18 = 36\ yd^2[/tex]

2) Light Grey:

[tex]A_2 = 2(2*6) = 2*12 = 24\ yd^2[/tex]

3) Whitish-Grey:

[tex]A_3 = 2(6*9) = 2 * 54 = 108\ yd^2[/tex]

4) Total Area:

[tex]A = A_1 + A_2 + A_3 = 36 + 24 + 108 = 168\ yd^2[/tex]

Answer: 6r^3 - 15r

Step-by-step explanation:

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

Answer:

Here we can not see the graph, so I will upload a new graph for this case.

To solve the equation:

Ln(x) = x - 2

We can first graph the equations:

y = Ln(x)

y = x - 2

And find the point where these graphs intersect.

In the graph we can see two intersects.

One (the first one) is near the point ( 0.15, -1.85)

And the other intersection is near the point (3.14, 1.14)

Then two possible values of x that are solutions of:

ln(x) = x - 2

are:

x = 0.15

x = 3.14

Answer:

its

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

40/100 * 5000 = 2000

Answer:

225°

Step-by-step explanation:

[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]

Answer:

it should be 148.5

Step-by-step explanation:

Answer:

$121.50 is  the new amount! The discount is $148.50

Step-by-step explanation:

9514 1404 393

Answer:

  ±i

Step-by-step explanation:

  q² = -1

  q = ±√(-1) = ±i . . . . . . i is the name given to the square root of -1.

Answer:

x=17/9

Step-by-step explanation:

-7x-(-5-x)=-9(2x-1)

= -7x+5x+x= -18x+9

= -x= -18x+9

  +18x +18x

=17x=9

     x= 17/9

Hope this helps!

Answer:

-7x -(-5-x)=9(2x-1)

-7x+5x+x=18x+9

-x=-18x+18x

17x=9

x=17/9

Step-by-step explanation:

hopes this help

Answer:

80.54

Step-by-step explanation:

height- 30

base- 5

tan-1(30/5)

tan-1(6)

= 80.54

Answer:

r= 1/8 y + -5/2

Step-by-step explanation: