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Answer:

answer is

Step-by-step explanation:

Object distance (u) = -100cm  Focal length (f) = 50cm Image distance = v  By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm  Hence the image is formed at 100 cm behind the lens.  Object distance (u) = -100cm  Focal length (f) = -25cm  Image distance = v  By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265

Answer:

PV= $73,201.14

Step-by-step explanation:

Giving the following information:

Future value (FV)= $85,000

Number of periods (n)= 20 months

Interest rate (i)= 0.03/4= 0.0075

To calculate the lump-sum required to reach the objective, we need to use the following formula:

PV= FV / (1 + i)^n

PV= 85,000 / (1.0075^20)

PV= $73,201.14

Answer:

(0.5,3)

Step-by-step explanation:

Hi there!

We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.

The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points

to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=9

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=-3

now substitute into the formula

so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]

substitute 5 and -4 into the formula

[tex]\frac{5+-4}{2}[/tex]

do the addition on the numerator

[tex]\frac{1}{2}[/tex] or 0.5

now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]

substitute 9 and -3 into the formula

[tex]\frac{9+-3}{2}[/tex]

do the addition on the numerator

[tex]\frac{6}{2}[/tex] or 3

Therefore the midpoint is (0.5,3)

Hope this helps! :)

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

= $5,844

Answer:

Hy^2 = H^2 + B^2

= 7^2 + 12^2

D.) = 193 square root

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The sum of angles in a triangle is 180°. The measure of the third angle is ...

  180° -20° -50° = 110° . . . third angle

Answer:

The measurement of third angles of triangle is 110°.

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both side from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, measurement of third angie of triangle is 110°.

Answer: one solution.

Step-by-step explanation:

[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]

This equation has one solution:  x = 6.

Answer:

0.000450 m3

Step-by-step explanation:

Answer:

The answer is 9².

Step-by-step explanation:

9⁵ = 59049

9³ = 125

59049 ÷ 125 (9⁵ ÷ 9³) = 81

9² (9 × 9) = 81

Answer:

I don't know this answer snsjsnsjskanwnkanwnksnesjisjwjww

1) angle LKM

2) angle MKL

Answer:

98.97

Step-by-step explanation:

I used my notes on page 34

Answer:

56+8√2=8(7+√2)

Step-by-step explanation:

1. P= AB+BC+CD+DE+EF+FG+GA

2. AB=DC=12

BC=16

AG=ED=4

AG+ED+GE=16

4+4+GE=16

GE=16-8

GE=8

GF²= EF²+GE²

GF²=64+64

GF²=128

GF=8√2

3.P= 12+16+12+4+8+8√2+4= 56+8√2

Answer:

Area = 160 sq cm

Perimeter = 67.31 cm

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.

=16*12 - 1/2 * 8 *8

= 192 - 32

= 160 sq cm

GEF is a right triangle.

Therefore, by Pythagoras theorem:

[tex] FG^2 = FE^2 + GE^2 [/tex]

[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]

[tex] \therefore FG^2 = 64+64 [/tex]

[tex] \therefore FG^2 = 128 [/tex]

[tex] \therefore FG =\sqrt {128}[/tex]

[tex] \therefore FG =11.3137085[/tex]

[tex] \therefore FG = 11.31\: cm[/tex]

Perimeter of the figure

= 12 + 16 + 12+4+8+11.31+4

= 67.31 cm

Answer:

-4 =x

Step-by-step explanation:

2x + 9(x – 1) = 8(2x + 2) – 5

Distribute

2x +9x -9 = 16x+16 -5

Combine like terms

11x-9 = 16x +11

Subtract 11x from each side

11x-9-11x = 16x-11x+11

-9 = 5x+11

Subtract 11 from each side

-9-11 = 5x+11-11

-20 = 5x

Divide by 5

-20/5 = 5x/5

-4 =x

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Answer:

Graph translates 4 units to the left then 3 units up.

Step-by-step explanation:

The constant in the bracket changes for - 15 to -11 . A change of + 4.

This shifts  the whole graph horizontally 4 units to the left.

The + 3 moves the whole graph 3 units upwards.

Answer:

Area of a triangle=1/2base x height

1/2x12x4

6x4

24units

Perimeter is the distance round the given figure

9+12+5

26units

Answer:

1/4

1/2

3/4

1

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1 = 1

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

learn more on right angle triangle here: https://brainly.com/question/3770177

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

Answer:

They have undefined slopes

Step-by-step explanation:

The line is a vertical line

Vertical lines  are in the form x= constant

They have undefined slopes

Answer:

He could have asked the girls as well, and could have asked the entire class instead of just 10 students.

Step-by-step explanation:

By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.

Answer:

ran" (and any subsequent words) was ignored because we limit queries to 32 words.

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong