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1 year ago

Michael goes shopping. At the start of his shopping trip he has

Mathematics

1 answer:

fredd [130]1 year ago

4 0

Answer:

Micheal has £6.97 left

Step-by-step explanation:

6 × £0.32 = £1.92

2 × £1.09 = £2.18

£9.69 + £1.92 + £2.18 = £13.79

£20.76 ‒ £13.79 = £6.97

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He temperature in Tampa, Florida is 15 degrees warmer than twice the temperature in Chicago, Illinois. The temperature in Tampa

dusya [7]

Answer:

2x+15=75

Step-by-step explanation:

Let the temperature of chicago be x

75-15=2x

Reversing the equation

2x+15=75

6 0

1 year ago

Read 2 more answers

I need help please help me

Lostsunrise [7]

Answer:

which one do you need help on

6 0

1 year ago

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 46°, b

horrorfan [7]

We will use the law of cosines
side a² = b² + c² -2bc • cos(A)
side a² = 729 + 196 -2*27*14 * cos (46)
side a² = 925 -(756 * 0.69466)
side a² = 399.83704 
side a = 19.995925585 
We could round that to 20
a = 20 b = 27 c =14

We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))

where s is the semi-perimeter 
semi-perimeter = (side a + side b + side c) ÷ 2
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (30.5 - 20) • (30.5 - 27) • (30.5 - 14))
area = square root (30.5 • (10.5) • (3.5) • (16.5))
area = square root (18494.4375)
 area = 135.9942553934 which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm

7 0

1 year ago

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we use the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Therefore:

$(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The correct option is A.

6 0

1 year ago

Read 2 more answers

City planners are creating a 3-dimensional model of a city park to find the best placement for a new tennis court. The city park

belka [17]

Hello!

To find our scale factor, let's divide our real length (1,500) by our scale length (7.5)

1,500/7.5=200

Now, we divide our tennis court dimensions by 200.

120/200=0.6

60/200=0.3

Therefore, our answers are below.

Length: 0.6 feet

Width: 0.3 feet

I hope this helps!

7 0

1 year ago