an athlete jumps these 4 distances in a long jump competition. which jump does NOT round to 4.7 meters?

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

Work Shown:

[tex]y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\[/tex]

Therefore, a = 10

--------------

As an alternative approach, we could work in reverse like this:

[tex]y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\[/tex]

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

--------------

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

Answer:

4

Step-by-step explanation:  6 22 22  04

it looks like you want to divide 23.584 by 5.97

to estimate this 23.584 is close to 24 and 5.97 is really close to 6

24/6  = 4

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]

Substitute 700 for x to get the bill

[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]

Hence, option (b) is correct.

Answer:

-15

Step-by-step explanation:

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

[tex] \tt{ \verified} \: \: \: \: \red{ \checkmark}[/tex]

[tex]\boxed{Given:}[/tex]

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

[tex]\boxed{To\:find:}[/tex]

The smallest angle of the triangle.

[tex]\boxed{Solution:}[/tex]

[tex]\sf\purple{C.\:37°}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]

✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

Answer:

100÷2= 50

Step-by-step explanation:

Because if we divide a 100 equally by 2 it will be 50

Answer:

[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]

Answer:

ty

Step-by-step explanation:

mtj

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

Answer:

180 square inches

Step-by-step explanation:

let separate the figure and form two rectangles

first rectangle

length = 10 in

breadth = 9 in

let's find its area

area =l*b

=10*9

=90 in.^2

second rectangle

length = 15 in.

breadth = 6 in.

area =l*b

=15 *6

=90 in.^2

area of a whole he painted =area of first rectangle + area of second rectangle

=90 + 90 in.^2

=180 in .^2

Answer:

[tex]P(4) = \frac{1}{6}[/tex]

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

[tex]P(\text{3 or 5}) = \frac{1}{3}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number cube:

A number cube is a dice, which has six sides, numbered 1 to 6.

P(4)

One the sides is a 4, thus:

[tex]P(4) = \frac{1}{6}[/tex]

P(not a 2)

Of the 6 sides, one is a 2, and the other 5 are not 2. So

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

P(3 or 5)

One sides is 3, other is 5, 1 + 1 = 2. So

[tex]P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}[/tex]

Answer:

you first find the radius which is given by r=√(5^2)+(-5^2)=5√2,and then you find the angle which is given by tan^-1(y÷x),that is tan^-1(-5÷5)=-45°.This angle lies between (5,-5)

so 360-45=315°.

The ordered pair will be (5√2,315°)

To obtain the second ordered pair 315°-180°=135°

(5√2,135°)

the two pairs of polar coordinates are (5√2,135°,

5√2,315°)

Answer:

me :- mighty assassin-,-

xd

Answer:

17

Step-by-step explanation:

f(x)=3x+2

Let x = 5

f(5)=3*5+2

Multiply first

f(5) = 15+2

Then add

    = 17

Answer:$342

Step-by-step explanation: First we convert to yards: which gives us 14/3 yards and 20/3 yards. We multiply these to find a combined area of 280/9 yards, which we then multiply to get 280*11/3. Simplify to get 342.22 repeating, which rounds to 342.

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

Answer:

22mi

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

h=1mi

l=5mi

w=1mi

Using the formula,

2·(1·5+1·5+1·1)=22mi

Therefore, the surface area of the rectangular prism is 22mi

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

You can solve for x, or you can try x=3.5 to see if that makes the equation true. Here, we decided to solve for x.

A. x =(8×3 -3)/7 = 3

B. x = 15 -11.5 = 3.5

C. x = (34 -6)/8 = 3.5

D. x = 15.5 -12 = 3.5

E. x = 20 -15.5 = 4.5

Answer:

G

Step-by-step explanation:

36+36=72

180-72=108

360-(108×2)

144

144÷2

72

Answer:

the answer is the alphabet a

Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft[tex]^2[/tex]

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

[tex]Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2[/tex]

Answer:

3

Step-by-step explanation:

i got it right on my test