5/4 x (54/48 + 105/75)

Answer:

The ratio is 40/41

Step-by-step explanation:

In this question, we are to find the ratio that represents sine of angle I

Firstly, let’s consider the diagram of the triangle attached.

When we talk of sine, what we mean is the trigonometric identity which measures the ratio of the opposite to the hypotenuse.

Since the angle we are considering is I, the opposite is 40, while the hypotenuse is 41 ( the longest side of the triangle and the side that faces the angle 90, which is the length JI)

Thus,

mathematically sine I = 40/41

Answer:

Step-by-step explanation:

Answer:

3/11 for two red balls

2/11 for two green balls

Step-by-step explanation:

6 red and 5 green balls

Answer:

3/11

2/11

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

What we must do is calculate the speed of each one,

Melissa in one hour plants 10 trees, that is 10/1 is her speed.

Jane in two hours plants 17 trees, that is 17/2 is her speed.

Now, we want to know the time it takes to plant 11 trees, so the sum of the previous speeds is equal to 111 / x

10/1 + 17/2 = 111 / x

18.5 = 111 / x

x = 111 / 18.5

x = 6

Which means that in 6 hours between the two they can plant 111 trees

Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.

Answer:

fx) = [tex]3x+4[/tex]

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3([tex]x[/tex] - 1) 2 + 5

[tex]fx) = 3x-1+2+5[/tex]

2. step:

use the BEDMAS form.

fx) = [tex]3x-3+7[/tex]

fx) = [tex]3x+4[/tex]

Answer:

Brett can afford 5 books.

Step-by-step explanation:

each book is $4 and an additional charge of $2 for shipping.

4 + 2 = 6

6 x 5 = 30

brett will spend exactly $30

Answer:

Step-by-step explanation:

The shape described in question is a square overlaid with two quarter circles(a semi circle)

Area of the figure = Area of the square + area of the semi circle

Area of the figure = [tex]L^{2}+\frac{\pi r^{2} }{2}[/tex]

L = length of a side of the square = 12in

r is the radius of the semi circle = 6in

Area of the figure = [tex]12^{2} + \frac{36\pi }{2} }\\[/tex]

Area of the figure = [tex]144+18\pi[/tex] = 200.55in²

Since the shaded portion is a square;

percent of the total area is shaded = area of the square/total area * 100%

percent of the total area is shaded = 144/200.55* 100

percent of the total area is shaded= 71.8%

Answer:

No, the triangles are not congruent.

Step-by-step explanation:

Triangle HOT has AAS, whilst triangle CLD has ASA. Therefore, the triangles are not congruent. There is also no way to prove that HOT and CLD are isoscles triangles, which means we cannot use ASA or AAS.

Answer:

r = -20

Step-by-step explanation:

–7r= –8r−20

Add 8r to both sides

r = -20

Answer:

[tex] \boxed{r = -20} [/tex]

Step-by-step explanation:

[tex] = > - 7r = - 8r - 20 \\ \\ = > - 7r + 8r = - 20 \\ \\ = > 8r - 7r = - 20 \\ \\ = > r = - 20[/tex]

Answer:

4m−3(2m + 1)

= 4m - 3*2m - 3*1

= 4m - 6m - 3

= -2m - 3

Hope this helps!

:)

Answer:

-2m - 3

Step-by-step explanation:

Remember to follow PEMDAS. First, distribute -3 to all terms within the parenthesis:

-3(2m + 1) = (-3 * 2m) + (-3 * 1) = -6m + (-3)

4m - 6m - 3

Simplify. Combine like terms:

(4m - 6m) - 3

(-2m) - 3

-2m - 3 is your answer.

~

Answer:

Choice C

Step-by-step explanation:

Using the Pythagorean theorem, you can find that the length of the hypotenuse is:

[tex]\sqrt{3^2+5^2}=\\\\\sqrt{9+25}=\\\\\boxed{\sqrt{34}}[/tex]

Hope this helps!

Answer:

[tex]c=\sqrt{34}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem (a^2 + b^2 = c^2), you can find the hypotenuse

Begin by plugging in 3 into a and 5 into b.

3^2 + 5^2 = c^2

9 + 25 = c^2

34 = c^2

Then, take the square root of both sides.

[tex]\sqrt{34} =\sqrt{c^{2} }[/tex]

[tex]c=\sqrt{34}[/tex]

Answer:

Step-by-step explanation:

If 2 angles are complementary, that means that they add up to 90 degrees.

The angle complementary to a 30-degree angle has to measure 60 degrees. D is your choice.

Answer:

C) a quadrilateral, because angle C and angle X are acute

Step-by-step explanation:

It is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.

It is defined as the four-sided polygon in geometry having four edges and four corners. It has two pairs of congruent sides and one pair of opposite congruent angles.

From the Pythagoras theorem:

[tex]14^2=12^2+8^2[/tex]

196  ≠ 208

The angles C and X are not right angles since angles C and X are congruent and acute angles.

Thus, it is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

the correct answer is yes. 3/8 is the irrational.

step by step explaination: Assuming you meant, then it's irrational. The square root of any Natural Number which is not a perfect square is irrational. 8 is not a perfect square so is irrational.

I am glad to help you!!!!!!!!!!!!

Answer:

2698 yd^2

Step-by-step explanation:

2·(22x25 + 22x17 + 25x17) = 2698 yd^2

SA = 2(LW) + 2(LH) + 2(HW)

Let L = Length

Let W = Width

Let H= Height

The length of the other base is 4 meters.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The area of a trapezoid.

A = (1/2) h (b1 + b2)

where A is the area, h is the height, b1, and b2 are the lengths of the two bases.

We are given,

h = 8, b1 = 12, and A = 64.

We can substitute these values into the formula and solve for b2:

64 = (1/2)(8)(12 + b2)

Simplifying:

64 = 4(12 + b2)

16 = 12 + b2

b2 = 4

Therefore,

The length of the other base is 4 meters.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ2

Answer:

B

Step-by-step explanation: If you look at the graph, the only graph with (0,0) is B

Answer:

B

Step-by-step explanation:

Answer:

(a) 0.4 or 40%

(b) 0.1 or 10%

Step-by-step explanation:

(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:

[tex]p=\frac{4}{10}\\ p=0.4[/tex]

(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:

[tex]p=\frac{2}{20}\\ p=0.1[/tex]

Answer:

As y = mx + c (standard form)

Thus relating the equation , we get

m = 1

c = -6

Answer:

m = 1

c = -6

Step-by-step explanation:

m is the gradient of the line.

c is the intercept of the line.

The formula for it is : y = mx+c

so m = 1

c = -6

Hope this helps

Answer:

There are 12 choices for the blue ribbon, 11 choices for the red and 10 choices for yellow so the answer is 12 * 11 * 10 = 1320.

Answer:

No. The den will have 8 times the volume of the bedroom.

Step-by-step explanation:

The architect wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. Let's find the volume of the bedroom:

8 * 4 * 7 = 224 cubic feet

The architect doubles all three dimensions to create the den. This means that the den has dimensions as 16 ft by 8 ft by 14 ft.

The volume of the den is:

16 * 8 * 14 = 1792 cubic feet

Double of 224 cubic feet is 448 cubic feet.

Hence, the den will not have double the volume of the bedroom instead it will have a volume 8 times the that of the bedroom.

Doubling the initial dimensions of 8 ft. by 4 ft. by 7 ft. means that the

volume will 8 times the initial volume or 1,792 ft.

The dimensions of the room = 8 ft. by 4 ft. by 7 ft.

The amount by which the architect increases the dimension = Double the dimensions

Solution;

The volume of the room, V = 8 ft. × 4 ft. × 7 ft. = 224 ft.³

When the dimensions are doubled, we have;

Length = 2 × 8 ft. = 16 ft.

Width = 2 × 4 ft. = 8 ft.

Height = 2 × 7 ft. = 14 ft.

The new volume of the bedroom = 16 ft. × 8 ft. × 14 ft. = 1792 ft.³

Therefore;

Scale factor of volume = (Scale factor of length)³

Therefore;

Doubling the dimensions means that the volume of he room will be

multiplied by 2³ = 8 rather doubling the initial volume.

Learn more about scale factors of volume here:

https://brainly.com/question/1107447

The expression that is equivalent to √-12 is √12i

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation[tex]i^{2}=-1}[/tex] every complex number can be expressed in the forma + bi, where a and b are real numbers.

Given here,  √-12= √12×√-1

                            = √12i

Hence, The expression that is equivalent to √-12 is √12i

Learn more about complex numbers here:

https://brainly.com/question/24334428

#SPJ2

Answer: $10988.25

Step-by-step explanation:

From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:

= 420 + (15% × 420)

= 420 + (0.15 × 420)

= 420 + 63

= 483 students

Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:

= 483 × $22.75

= $10988.25

Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Answer:

50

Step-by-step explanation:

its simple just the degrees is equal orr close to that

Answer:

(C)Converting to a common denominator

Step-by-step explanation:

Given some of the steps in the derivation of the quadratic formula below:

[tex]\text{Step 3:} -c + \dfrac{b^2}{4a}=a(x^2+ \dfrac{b}{a}x+ \dfrac{b^2}{4a^2})\\\\\text{Step 4a:} -c + \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2\\\\\text{Step 4b:} \dfrac{-4ac}{4a}+ \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2[/tex]

Step 4b is derived from Step 4a by converting the left-hand side to a common denominator 4a.

Therefore, that which best explains or justifies Step 4b is:

(C)Converting to a common denominator

Answer:

C

Step-by-step explanation:

lol

Answer:

Stan needs about 50 of the 39 cm x 39 cm tiles

or about 155 of the 18 cm x 27 cm tiles

Step-by-step explanation:

Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:

Patio area = 3 m x 2.5 m = 7.5 m^2

Now we consider what surface (in square meters - m^2) each type of tiles cover:

a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2

b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2

Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:

7.5 m^2 / 0.1521 m^2 = 49.3096  (about 50 tiles)

while for type "b" tiles the quotient gives:

7.5 m^2 / 0.0486 m^2 = 154.32  (about 155 tiles)

Answer:

16

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

based on coordinate (3,2) :

y ≥ 4/3(3) - 2

2 ≥ 2

based on coordinate (-3,-6)

y ≥ 4/3(-3) -2

-6 ≥ -6

* the symbol is ≥ because the shaded region is above the line

Answer:

Slope: 1/2

Y-Intercept: 0

Step-by-step explanation:

Use the slope formula and the slope-intercept form to find the slope  (m)  and y-intercept  (b ).

Answer:

free points

Step-by-step explanation:

first, third, and fourth options

Answer:

1,3,4

Step-by-step explanation:

e2020