Answer:
11. C
12. A
Step-by-step explanation:
11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)
(11 + x)(x + 1) = (x + 5)(x + 5)
11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)
11x + 11 + x² + x = x² + 5x + 5x + 25
Add like terms
x² + 12x + 11 = x² + 10x + 25
Collect like terms
x² - x² + 12x - 10x = -11 + 25
2x = 14
2x/2 = 14/2
x = 7
12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)
8x + 64 = 216
Subtract 64 from each side
8x = 216 - 64
8x = 152
8x/8 = 152/8
x = 19
the distance from kevins home to his school is 2 kilometers. adrian lives 750 meters from the same school. how much closer does adrian live next to the school than kevin
PLS HELP ILL GIVE BRAINLIEST
Answer:
-40% change
Step-by-step explanation:
This change is a decrease, so first you need to find the difference between the two numbers--> 125 - 75 = 50Next, you divide by the original number, so 50 ÷ 125 = 0.4Finally, you multiply your answer by 100, so 0.4 x 100 = 40%. Because this is a decreasing change, you add a negative sign.The sum of two numbers is 49.one number is 15 more than the other one.find the numbers
Answer:
17 and 32
Step-by-step explanation:
x + (x + 15) = 49
2x + 15 = 49
2x = 34
x = 17
x + 15 = 32
solve by drawing the area model and using the standard algorithm 7,481 × 290
Which of the following is the definition for combination?
Answer:
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected. For example, suppose we have a set of three letters: A, B, and C. ... Each possible selection would be an example of a combination. The complete list of possible selections would be : AB, AC, and BC.
help me I got 25 missing assignments
Answer:
think it's the last one
Step-by-step explanation:
sorry if i'm wrong
Find the Area if the circle.
Answer:
153.93804 in^2
Step-by-step explanation:
Area = radius^2 π = 7^2 π = 153,93804 in^2
Answer:
[tex]area = \pi \: r \:^{2} \\ = \pi(7) ^{2} \\ = 153.938 \: in ^{2} [/tex]
What is the value of ?
Answer:
x=3
Step-by-step explanation:
Log base 5 of 125=x
that is equal to 5x5x5 which is 125
5 is multiplied 3 times so x is 3
Simplify (4xy)(2x2y)(3xy)3.
Answer: 72x(elevated 4)y(elevated 3)
Step-by-step explanation:
4xy(2x2y)(3xy)(3)
PLEASE HELP QUICKLYYYY
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Answer:
x = 48
Step-by-step explanation:
The sum of the angles in a pentagon is 540°, so you have ...
90° +100° +110° +2x° +3x° = 540°
5x = 240 . . . . . . . divide by °, subtract 300
x = 48 . . . . . . . . . divide by 5
_____
Additional comment
The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
P varies inversely with the
square of Q. When Q is 8, P is 9.
Find the value of P when Q is 3.
The required value of P would be 64 for the given linear relationship.
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
Given that P varies inversely with the square of Q
P = k/Q²
As per the question, if Q is 8 and P is 9,
So 9 = k/8²
⇒ 9 = k/64
Apply cross-multiplication operation,
⇒ k = 576
If Q is 3, then
⇒ P = 576/3²
⇒ P = 576/9
Apply division operation, and we get
⇒ P = 64
Thus, the required value of P would be 64.
Learn about the linear relationship here :
https://brainly.com/question/11663530
#SPJ2
How do I find the length
The area of a sector created by a 120° angle is 4 pi in squaredWhat is the area of a sector created by an angle of 30°
in the same circle
Answer:
π in²
Step-by-step explanation:
We'll begin by calculating the radius of the circle. This can be obtained:
Area of sector (A) = 4π in²
Angle (θ) = 120 °
Radius (r) =?
The radius of the circle can be obtained by using the formula for calculating the area of a sector. This is illustrated below:
A = θ/360 × πr²
4π = 120/360 × πr²
4π = ⅓ × πr²
Cross multiply
3 × 4π = πr²
12π = πr²
Divide both side by π
r² = 12π / π
r² = 12
Take the square root of both side
r = √12 in
Thus, the radius is √12 in.
Finally, we shall determine the area of the sector created by 30 °. This can be obtained as follow:
Radius (r) = √12 in
Angle (θ) = 30 °
Area of sector (A) = ?
A = θ/360 × πr²
A = 30/360 × π(√12)²
A = 1/12 × 12π
A = π in²
Therefore, the area of the sector created by 30 ° us π in².
Assume that y varies inversely with the
square of x, then solve.
When x is 5, y is 4/5. Find y when x is 8.
Answer:
y = 5/16
Step-by-step explanation:
[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]
{3/4 x (3/3/4 ÷ 5/16)} -3/1/3
Can someone please help me?!!!!
Answer:
The answer is:
0.18
0.92
0.15
1.80
A.3 1/4
B.1 3/4
C.2 1/4
D.3/3
Answer:
A. 3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Solve AABC. Round your answers to the nearest hundredth, if necessary
Answer:
[tex]C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be [tex]180-90-65=25^{\circ}[/tex].
In any triangle, the Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex].
Therefore, we have:
[tex]\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}[/tex]
[tex]\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}[/tex]
A third-grade class is using plaster of Paris to make impressions of their hands. Each student needs 12 ounces of plaster to make an impression. There are a total of 20 students in the class. How many pounds of plaster will the teacher need for the activity?
Answer:
15 pounds of plaster
Step-by-step explanation:
First, convert ounces to pounds.
In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.
[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]
Cross multiply and solve for x:
16x = 12
x = 0.75
So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:
20(0.75)
= 15
So, the teacher will need 15 pounds of plaster
Answer:
15 pounds
Step-by-step explanation:
I’m confused:/ can somebody help me??
Answer:
I got ya :D
the answer is
[tex] \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} [/tex]
explanation in the attachment
Find Z for the following sequence:
210, 209, 213, 186, 202, Z
Answer:
77
Step-by-step explanation:
as far as I can tell the steps between the given numbers are
-1
+4
-27
+16
1 can be expressed as 1³
4 can be expressed as 2²
27 can be expressed as 3³
16 can be expressed as 4²
my best guess is that next one is minus 5³ = -125
edit: technically the given steps can be expressed as
(-1)³
(-2)²
(-3)³
(-4)²
somewhat nicer pattern there
A right triangle has side lengths a, b , and c as shown below. Use these lengths to find cosx , sinx and tanx. (GIVING BRAINLEST TO BEST ANSWER)
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Answer:
cos(x) = a/csin(x) = b/ctan(x) = b/aStep-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...
Sin = Opposite/Hypotenuse ⇒ sin(x) = b/c
Cos = Adjacent/Hypotenuse ⇒ cos(x) = a/c
Tan = Opposite/Adjacent ⇒ tan(x) = b/a
Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8
Answer:b
Step-by-step explanation:
A person is in a plane 12.5 km above the ocean. How far from the plane can the person see out on the ocean? (The radius of Earth is 6378 km.)
The person can see approximately km.
(Type an integer or a decimal rounded to two dečimal places as needed.)
Answer:
Step-by-step explanation:
The line fron the airplane wich is tangent to earth surface is also perpendicular to the radius as you can see in the figure. So is valid to contruct the right-angled triangle as shown in the second figure.
[tex]r^2+(r+h)^2=x^2\\\\r=6378Km,~h=12.5Km\\\\x^2=81517374.25\\\\x=9028.7Km[/tex]
Hdisowiejejkwoeooeoe
Answer:
98
Step-by-step explanation:
The absolute value of a number different from 0 is always positive
- * - = +
15 + 83 = 98
Solve for x round to nearest tenth
Answer:
15.9 units
Step-by-step explanation:
use the pathagorean theorem to find x.
a^2 + b^2 = c^2
6^2 + b^2 = 17^2
36 + b^2 = 289
-36 -36
[tex]\sqrt{b^{2} }[/tex]= [tex]\sqrt{253}[/tex]
b = 15.90597372
b = 15.9
At the supermarket, a certain brand of plain yogurt comes in thre
different sizes. The 6-ounce container of yogurt costs $0.72. The
16-ounce container of yogurt costs $1.76. The 32-ounce
container of yogurt costs $4.48. Which size is the best deal?
6 oz container
B 32 oz container
C 16 oz container
D All three sizes have the same unit cost.
Answer:
C. 16oz container
Step-by-step explanation:
I can explain my answer in the comments if needed, but C is the correct answer :)
Please help and don’t give links
Answer:
B.d.c.b.a.c.b is. respectively answer
a portion of 7200 is invested at 5 1/2 percent interest, and the rest is invested at 5 percent interest. if the yearly income from the money is rs. 387 how much is invested at each rate ?
Answer:
A 5.5% = 5400 B 5% = 1800
Step-by-step explanation:
A + B = 7200
A * 0.055 + B * 0.05 = $387
A = 7200 - B
(7200 - B)*0.055 + B*0.05 = 387
396 - 0.055B + 0.05B = 387
396 - 0.005B = 387
0.005B = 9
B = 1800
A = 7200 - B = 7200 - 1800
A = 5400