1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
4 years ago
14

Bethany lives in London.

Mathematics
1 answer:
Marrrta [24]4 years ago
7 0

Bethany says, Using these exchange rates, £1 is worth 1.17 euros.

<u>Step-by-step explanation</u>

1 euro = 1.07 dollars

£1 = 1.25 dollars

Now ,

⇒ £1 = 1.25 dollars

⇒ £1 = 1.25dollars(\frac{1.07}{1.07})

⇒ £1 = (1.07dollars)(\frac{1.25}{1.07})

⇒ £1 = (1euro)(\frac{1.25}{1.07})

⇒ £1 = (1euro)(1.17)

⇒ £1 =1.17 euros

Therefore , Bethany says, Using these exchange rates, £1 is worth 1.17 euros.

You might be interested in
A new test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A med
Troyanec [42]
The tree diagram of the problem above is attached
There are four outcomes of the two events,

First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test -  No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054

The probability of someone picked at random has cancer given that test result indicates cancer is  \frac{0.0396}{0.0396+0.0096}= \frac{33}{41}

The probability of someone picked at random has cancer given that test result indicates no cancer is \frac{0.0396}{0.0004+0.9504} = \frac{99}{2377}

7 0
3 years ago
Find the slope of the line passing through the points (-2,-2) and (6,-2).<br> slope
kap26 [50]

Answer:

0/8

Step-by-step explanation:

Slope equals y 2 minus y 1 divided by x 2 minus x 1

-2-(-2)/6-(-2)

0/8

4 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
How many boxes can a machine pack in 25 min if the machine packs boxes at a rate of 50 boxes per minute? Enter your answers into
Grace [21]
If the machine can pack 50 boxes a minute, that would mean you have to multiply 50 x 25 which gives you your answer of 1,250
3 0
4 years ago
Read 2 more answers
Other questions:
  • When an inequality is written in slope intercept form, the inequality symbol indicates which type of line to draw and which side
    9·1 answer
  • 2.4x+1.2=6.3 What is X
    6·2 answers
  • PLEASE RESPONDD!! IT'S TIMED :") The function f(x) = 4x – 0.1x^2 is used to model the
    14·2 answers
  • Joan received $100 in gift cards for an online music store. Each time she buys a new song it costs $1.29. She has already bought
    11·1 answer
  • Multiply out the bracket and simplify 3(x+7)+2x
    14·1 answer
  • Use the distributive property to rewrite each expression. -5(3-h)
    15·2 answers
  • = Simplify the following algebraic expressions given below into their equivalent standard forms.
    9·1 answer
  • Can someone help me on my homework?
    6·1 answer
  • 1. The digit 7 is in what place in these numbers?<br> (a) 271<br> (b) 793<br> (c) 407
    11·2 answers
  • A shoe store give a 25% discount on 48$ pants how much discount $
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!