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Answer:

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

Answer:

The distance between X and Z is approximately 95.99 km

Step-by-step explanation:

(For Diagram Please Find in Attachment)

The distance of Y from X = 85 km

The bearing of Y from X = 190°

The bearing of Z from Y = 140°  

The bearing of Z from X = 180°

Now,  

∠YZX = 180° - (130° + 10°) = 40°

(85 km)/sin(40°) = XZ/(sin(130°))

XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km

The distance between X and Z ≈ 95.99 km

9514 1404 393

Explanation:

Given:

Prove:

Proof:

∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°

2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°

∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles

(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1

∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides

∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium

Answer:

You would need to add the picture in order to get an answer

Answer:

no bc pythagorean

Step-by-step explanation:

Answer:

B

We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.

Answer:

B. (8*2) -6

Step-by-step explanation:

Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.

========================================================

Explanation:

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

5 ft, 3 in = 63 inches (add 3 inches to both sides)

Through similar steps, you should find that 4 ft 8 in converts to 56 inches

The difference is 63-56 = 7 inches

Answer:

Step-by-step explanation:

I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:

[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:

[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to

[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to

[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:

[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:

[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to

[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple

[tex]cos^2(x)[/tex]

Answer:

there are 6 type of tryingle hope it helps

Answer:

45[tex]yd^{2}[/tex]

Step-by-step explanation:

splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.

Answer:

45 yd2

Its a composite shape, so you'll have to "cut" it into basic shapes first.

I've cut it into two rectangles A and B... (see attachment)

Rectangle A on its own would have a l = 5 yd and w = 3 yd

Rectangle B will have l = 15 yd and w = 2yd

Total area = Area of A + Area of B

= (5 × 3) + (15 × 2)

= 15 + 30

=

[tex] {45yd}^{2} [/tex]

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

Step-by-step explanation:

mark me as BRAINLIEST

follow me

carry on learning

Answer:

There are 31 perfect squares between 1 and 1000

Hope it helps❤️

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

Answer:

maybe

Step-by-step explanation:

but what help do u want?

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:

[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

Answer:

31°,59°

Step-by-step explanation:

csc (2x+9)=sec(3x+26)

1/sin(2x+9)=1/cos (3x+26)

sin (2x+9)=cos(3x+26)

cos (90-2x-9)=cos(3x+26)

90=3x+26+2x+9

5x+35=90

5x=90-35=55

x=55/5=11

2x+9=2×11+9=31°

3x+26=3×11+26=59°

==============================================================

Explanation:

f(x) is shown in the blue dashed line, while g(x) is a solid black line.

When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.

This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.

The vertex of each V shape is the same and that's at the origin (0,0).

No translations (horizontal or vertical shifting) are occurring.

The graph that shows the function g(x) = 3|x| is graph B.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)

Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.

Hence graph B is correct.

More can be learned about translation click;

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Answer:

Kindly check explanation

Step-by-step explanation:

From the boxplot attached :

Summer lake :

Median = 60 ( point in between the box)

Variability is given by the Range = maximum - minimum = 80 - 40 = 40

Maximum number of visitors = 80

Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day

Canyon Overlook:

Median = 80 ( point in between the box)

Variability is given by the Range = maximum - minimum = 120 - 30 = 90

Maximum number of visitors = 120

The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

30x² - 28x + 6 = 0

a = 30, b = -28, and c = 6

Plug the values in the formula:

[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]

After solving:

x = 3/5 or x = 1/3

Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

Learn more about quadratic equations here:

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Answer:

5) 2z - 15 = 9

2z.=9+15

2z =24

z =12

6) 4x-2 = 62°

4x=62°+2°

4x=64°

x=16

Step-by-step explanation:

5).2z-15=9 6).(4x-2°)=62°

2z=9+15 4x=62°+2°

2z=24 4x=64°

z=12 x=16

============================================================

Explanation:

Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.

The base of each triangle is 22/5 = 4.4 cm

The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.

The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.

Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm

Answer:

165

Step-by-step explanation:

The formula for the area of the pentagon is 5/2 × s × a. 

5/2×22×3

5/2 × 66/1= 66÷2

=33

33×5=165

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

[tex]f(x) = 2x + 5[/tex]

[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.

So, I will take f(x) as

[tex]f(x) = 2x + 5[/tex]

Next, solve for the inverse function

Replace f(x) with y

[tex]y = 2x + 5[/tex]

Swap x and y

[tex]x = 2y + 5[/tex]

Make 2y the subject

[tex]2y = x-5[/tex]

Make y the subject

[tex]y = \frac{x-5}{2}[/tex]

Replace y with the inverse sign

[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]

So, now we can calculate any value from the original function and from the inverse function.

For instance:

[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]

[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]

Answer:

part a-24 questions

part b-2 or 3 more questions

Step-by-step explanation:

part a-to find the number, change the percent into a decimal (.75) and multiply (24)

part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)

Answer:

3 marbles

Step-by-step explanation:

and they have died inside too

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

Answer:

8 5/18

Step-by-step explanation:

3 5/6 + 4 4/9

Get a common denominator of 18

3 5/6*3/3 = 3 15/18

4 4/9 * 2/2 = 4 8/18

3 15/18 + 4 8/18

7 23/18

7 + 18/18 + 5/18

7+1+5/18

8 5/18

Answer:

[tex]8\frac{5}{18}[/tex]

Step-by-step explanation:

[tex]3\frac{5}{6} +4\frac{4}{9}[/tex]

6 = 2 × 3

9 = 3 × 3

LCM of 6 and 9

LCM = 2 × 3 × 3

LCM = 18

[tex]3\frac{15}{18} +4\frac{8}{18}[/tex]

[tex](3+4)+(\frac{15}{18} +\frac{8}{18})[/tex]

[tex]7+\frac{15+8}{18}[/tex]

[tex]7+\frac{23}{18}[/tex]

[tex]7+1\frac{5}{18}[/tex]

[tex]8\frac{5}{18}[/tex]