log3(5x+1)=4 A.) x = 5 B.) x = 16 C.) x = 4 D.) x = 3

Answer:it’s 31.7 cm^2

Step-by-step explanation:

The approximate area of the shaded sector is 31.7 cm² (Option A).

To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.

The formula to find the area of a sector is given by:

Area of sector = (θ/360) * π * r²

where θ is the central angle and r is the radius of the circle.

In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.

Let's calculate the area of the shaded sector:

θ = 30 degrees

r = 11 cm

Area of sector = (30/360) * π * 11²

             = (1/12) * π * 121

             = π * 10.0833...

Now, we can approximate the value of π as 3.14:

Area of sector ≈ 3.14 * 10.0833...

             ≈ 31.7 cm²

Therefore, the approximate area of the shaded sector is 31.7 cm².

The correct option from the given choices is A. 31.7 cm².

To know more about sector, refer here:

https://brainly.com/question/12051312

#SPJ2

We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.

We will use law of sines to solve for side r.

[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.

Let us find measure of angle S using angle sum property of triangles.

[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]

[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]

[tex]\angle R=29^{\circ}[/tex]

[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]

[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]

[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]

[tex]r=53.7604351[/tex]

Upon rounding to nearest tenth, we will get:

[tex]r\approx 53.8[/tex]

Therefore, the length of r is approximately 53.8 inches.

Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”

So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.

Remember, a negative divided by a negative is a positive.

Answer:

D

Step-by-step explanation:

Firstly, to answer this question, we need to calculate the change in elevation.

Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.

To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.

Mathematically that would be 4,418 - 2,550 = 1,868 meters

Now our answer need be in foot. we have a conversion system given in the question already.

1 foot = 0.3048 meters

x foot = 1,868 meters

x = 1,868/0.3048

x = 6,128.6 feet which is approximately 6,129 feet

Answer:

22/28 = 11/14

Step-by-step explanation:

no of socks other than blue = 22

total no of socks = 28

so probability= 22/28 = 11/14

Answer:

22

Step-by-step explanation:

8 black 6 blue and 14 white is equal to 28

and if 6 are blue the rest are not so 6-28=22

Answer:

This means the store room is 19.15ft up

Step-by-step explanation:

The set up of the question will form a right angle triangle.

The length of the ladder will be the hypotenuse of the triangle and the angle the ladder forms will be the angle of elevation. This angle of elevation will face the opposite side of the triangle which is the height of the storeroom directly.

Using the SOH CAH TOA trigonometry identity,

According to SOH;

Sin∅ = opposite/hypotenuse

∅ is the angle the ladder forms

sin50° = x/25

x = 25sin50°

x = 19.15ft

This means the store room is 19.15ft up

Answer:

C. [tex]b^{27}[/tex]

Step-by-step explanation:

Assume b is a number like 3

([tex]3^{9}[/tex])³=19683³=7625597484987

[tex]3^{24}[/tex]=282429536481

B is definitely wrong. Not even going to try.

[tex]3^{27}[/tex]=7625597484987

D is definitely wrong. Not even going to try.

Answer:

Keith; -5, -12

Step-by-step explanation:

Logic ( Subtract 12 from both sides, then factor it out)

Answer:

I think the correct answer is 27 so option c. :)

Answer:

Look at the attachment

Answer:

64

Step-by-step explanation:

To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).

Answer:

The number is 64

Step-by-step explanation:

Let the number be x

3/8 of x = 24

x = 24 ÷ (3/8)

[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]

x = 64

Answer:

756 is evenly divisible by 2, 3, 4, 6, and 9.

Step-by-step explanation:

756 is evenly distributed by the numbers (above).

Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

Answer:

(x - 4)² + (y - 5)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 5) and r = 2, thus

(x - 4)² + (y - 5)² = 2², that is

(x - 4)² + (y - 5)² = 4 ← second option on list

The required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2  + (y-5)^2 = 4

The standard equation of a circle is expressed as:

(x-a)^2  + (y-b)^2 = r^2

where:

(a, b) is the centre = (4, 5)

r is the radius = 3 units

Substitute to have;

(x-4)^2  + (y-5)^2 = 2^2

(x-4)^2  + (y-5)^2 = 4

Hence the required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2  + (y-5)^2 = 4

Learn more on equation of circle here: https://brainly.com/question/14150470

Answer:c

Step-by-step explanation:

Answer:

x=-1,x=-8  can't factor it

Step-by-step explanation:

Step-by-step explanation:

x = -1 , x = -8

Hope its help u

Answer: 47,520

Step-by-step explanation: 36 times 40 times 33

Answer:

1/8

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

divide 6/42

Answer:

2 1/2

Step-by-step explanation:

take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2

Answer:

the answer is B

Step-by-step explanation:

hope it help

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.

Correct Question

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answer:

A. The slant height of the pyramid = 2.24 yards.

B. The surface area of the composite figure = 12.94 square yards.

C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.

Step-by-step explanation:

A. What is the slant height of the pyramid?

To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:

a² + b² = c²

Where a = Height of the square pyramid represent by h

b = radius of the square pyramid represented by r

c = Slant height of the square pyramid represented by s

Therefore, we have

h² + r² = s²

Looking at the attached diagram, we are given the side length = 2 yards.

The radius of the square based pyramid = side length ÷ 2

= 2÷ 2 = 1 yard.

The height of a square based pyramid = 2 yards

Since , h² + r² = s²

The slant height of the square pyramid is calculated as :

√h² + r² = s

√(2² + 1²) = s

√5 = s

s = 2.24 yards

B. What is the surface area of the composite figure?

We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

Step 1

We find the Lateral area of the faces of the insides of the inverted pyramid

We have 4 faces, Hence,

The formula is given as

a × √( a² + 4h²

a = 2 yards

h = 2 yards

So, = 2 × √( 2² + 4 ×2²

The Lateral area of the faces = 8.94 square yards.

Step 2

Area of the 5 faces of the cube

= a²

Where a = side length = 2 yards

= 2²

= 4 square yards.

Step 3

Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards

= 12.94 square yards.

C. How many cubic yards of concrete are needed to make the planter?

This is calculated by find the Volume of the Square based pyramid.

The formula is given as :

V = (1/3)a²h

Where a = side length = 2 yards

h = height of the square based pyramid = 2 yards

V = 1/3 × 2² × 2

V = 2.67 cubic yards

Answer:

i tried so i hope this helps you

Answer:

1. $0.99

2. $1.98

Step-by-step explanation:

1. From the question we have

Cost of box = $2.48

Selling price = $1.49

That is the box is discounted from $2.48 to $1.49

Therefore, amount saved = $2.48 - $1.49 = $0.99

2. The amount saved from buying a second box is hence;

2 × $0.99 = $1.98

Hence, as the number of boxes bought increases, the amount saved increases

Answer:

The answers to both questions are

1. You save $0.99 on the box when it is purchased on sale

This is calculated by subtracting on-sale price from pre-sale price:

$2.48-$1.49 = $0.99

2. Total amount saved when a second box is purchased on-sale price is derived by multiplying the amount saved on-sale purchase by two:

$0.99 x 2 (boxes)

$0.99 x 2 = $1.98

Cheers!

Answer:

8

Step-by-step explanation:

Vanillas percentage is 26%

26% of 50 is 13

Chocolates percentage is 42%

42% of 50 is 21

21-13=8

Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.

In total, there are 50 students.

[tex]0.42(50) = 21[/tex]

That is, 21 choose chocolate.

The sum is 100%, hence the percentage that choose vanilla is:

[tex]x + 14 + 18 + 42 = 100[/tex]

[tex]x = 100 - 74[/tex]

[tex]x = 26[/tex]

26%, out of 50, hence:

[tex]0.26(50) = 13[/tex]

13 choose vanilla.

21 - 13 = 8.

8 more of Ursula’s classmates chose chocolate than chose vanilla.

To learn more about proportions, you can check https://brainly.com/question/24372153

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

Answer:

920 ft^2

Step-by-step explanation:

area of triangles: base x height / 2 (2)

8 x 15 / 2

= 60 x 2

= 120

area of rectangular base: length x width

15 x 20 = 300

area of sloped rectangle: length x width

17 x 20 = 340

area of rectangle: length x width

8 x 20 = 160

Total: 120 + 300 + 340 + 160

=920 ft^2

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]