Joseph needs to calculate how much grass seed he needs to cover his lawn. A diagram of his lawn is shown below. One pound of seed covers an area of 100 square feet and the seed is sold in five-pound bags. How many bags will he need?

Answer:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Step-by-step explanation:

Recall that sine is the ratio between the opposite side and the hypotenuse in a right triangle:

[tex]\displaystyle \sin x=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

In the given triangle, with respect to E, the adjacent side is 99, and the hypotenuse is 101. So, we are not given the value of the opposite side.

Since it is a right triangle, we can use the Pythagorean Theorem. Hence:

[tex]OU^2+99^2=101^2[/tex]

Solving for OU (the opposite side) yields:

[tex]OU=\sqrt{101^2-99^2}=20[/tex]

Therefore, the opposite side is 20.

Hence:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = [tex]90^{o}[/tex]                             (48) b. definition of complementary angles

   m<3 + m<1 = [tex]90^{o}[/tex]

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Answer:

Axis of Symmetry: [tex]x=5[/tex]

Step-by-step explanation:

The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.

Answer:

x = 5

Step-by-step explanation:

That's f(x) = x^2 - 10x + 16.  The coefficients of the x terms are {1, -10, 16}:  {a, b, c}.  

                                                                         -b

The formula for the axis of symmetry is x = --------

                                                                           2a

Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is

       -(-10)

x = ------------ = 5

         2(1)

or x = 5

Answer:

angle 1=117 because it have vertical angles of congruence theorem

angle 2= 117 because it has the alternate exterior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

vertical angles have the same length

alternate exterior angles would have the same angle measure because they are on opposite side of the angles

Answer:

during the first 3mins the bus was accelerating from 0km to 25 kilometers

during the next 90 mins btwn 30mins to 120 mins it was moving at a constant distance n speed

lastly for the last 60 mins from 120 mins to 180 mins it started decelerating from a distance of 25km to 0 km

Answer:

Step-by-step explanation:

rectangle similar to the base.

Step-by-step explanation:

Hey there!

The Pythagorean identity is: sin²(theta) + cos²(theta) = 1.

So, For finding sin (theta);

Take cos (theta) right side.

sin²(theta) = 1-cos²(theta)

Now, take square on right side from.

sin (theta) = √[1-cos²(theta)] {square changes into square root}

Therefore, sin (theta) = √[1-cos²(theta)].

Hope it helps!

Answer:

33.5 units²

Step-by-step explanation:

We can see this figure as 2 shapes: a square and a triangle. The square measures 4 x 4, and it's area is 16. That leaves the triangle, which has half the area of a quadrilateral that measures 5 x 7. The area of the quadrilateral is 35, and the triangle has an area of 17.5, which is half of that. Adding them together, we get 33.5.

Answer:

33.5 unit²

it's a mixture of triangle and square.

draw a imaginary straight line across the figure from that line which has length of 3 units and now you can see the triangle and the square. Use the formula to find area of triangle and area of square and the sum of their area will be the area of this whole figure i.e 35.5 unit²

Answer:

14.176 mm

Step-by-step explanation:

16=[tex]\pi[/tex][tex]r^{2}[/tex]

r=2.25733052

C=2[tex]\pi[/tex]r

C= 14.176mm

Answer:

68

Step-by-step explanation:

Total mile cycled, d(t) ;

d(t) = 12t + 20

At d(4)

t = 4 ;

We have;

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68

After, 4 hours of cycling, Joanna cycled a total distance of 68 miles

Answer:

9

Step-by-step explanation:

There are 4 sides to a square so you would divide 36 by 4.

36/4=9

Answer:

d

Step-by-step explanation:

Answer:

what ____________________________

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

Step-by-step explanation:

The volume of a sphere is given as

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 as π:

[tex]V=\frac{4}{3}(3.1415)(4)^3[/tex] to get that

V = 268.07 cm³

Answer:

C. 39

Step-by-step explanation:

If AB = BC, and angle A is 39 degrees. we can assume that angle C would have a similar angle.

Since in △ABC , AB=BC

∴ the triangle is isoceles.

In an isoceles triangle the angles opposite to equal sides are equal.

∴∠A=∠C

This means that C.39 is the correct answer

Answer:

39, C

Step-by-step explanation:

If angle A = 39, then the angle C is equal to A. This may seem like a weird question, but it’s the way that the triangle is positioned.

Also, you can prove this by looking at the equation provided in the prompt.

B is the vertex that they are creating this problem from, therefore, it may be helpful to turn the triangle around!

Answer:

240 [tex]inches^{2}[/tex]

Step-by-step explanation:

11 + 1 = 12

19 + 1 = 20

12 x 20 = 240

Answer:

I think it could be the X-axis

Step-by-step explanation:

Hey there!

Given function is f(X) = 11x+7.

Let f(X) be y.

So, y = 11x+7

Interchanging"X" and "y" we get;

X = 11y+7

or, X-7 = 11y

or, y = (x-7)/11

Therefore {f}^{ - 1} (x) = \frac{x - 7}{11} [/tex]

Hope it helps!

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

edg 2023

Answer:

k= 2, k= -4

Step-by-step explanation:

you can use symbolab

Answer:

9x-10y

Step-by-step explanation:

9x+y-2y-9y(Multiply by 1)

Combine like terms

9x-10y

Answer:

Are you sure you're not missing any brackets? Cause if you do, the answer might be different

Answer:

-1

Step-by-step explanation:

-[(5-8)+12]÷9

[tex]=-(-3+12)[/tex]÷9

[tex]=-(9)[/tex]÷9

[tex]=\frac{-9}{9} \\=-1[/tex]

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

Answer:

y = 2x+4

Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4

Hope this helps!

Answer:

Step-by-step explanation:

It is an obtuse triangle because one angle (5) takes up more than the sum of the other two (3+1=4).

The angles are:

5+3+1 = 9

Each angles is

5/9 * 180 = 100°

3/9 * 180 = 60°

1/9  * 180 = 20°

Total = 100+60+20 = 180 degrees.

Algebra

The graph is C, or the graph down left.

This is because the other graphs lack the same vertex.