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3 years ago

A) Work out the size of angle x.

Mathematics

1 answer:

kkurt [141]3 years ago

8 0

Answer:

$x = 75\degree$

Step-by-step explanation:

$m\angle EFB +105\degree = 180\degree$

(linear pair angles)

$m\angle EFB = 180\degree - 105\degree$

$m\angle EFB = 75\degree$

$\because x = m\angle EFB$

(corresponding angles)

$\therefore x = 75\degree$

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A line has a slope of 9. One of the points on the line is (-2, p). Another point on the line is (2, 2p+1). Determine the value o

igomit [66]

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1. Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).

p+1

Thus, the slope of this line is m = rise / run = -------- = 9

Then p + 1 = 36, and p = 35.

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3 years ago

Assume that an average cell has a diameter of

emmasim [6.3K]

Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.

So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.

We know 1 meter = 100 centimeters = 1000000 micrometers

So 1 centimeter = 10000 micrometers

Taking Cubic powers on both sides :-

1 cubic centimeters = 10¹² cubic micrometers

1 cubic micrometers = 10⁻¹² cubic centimeters

50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters

So volume of one cell = 5 × 10⁻¹¹ cubic centimeters

Number of cells = $\frac{Total\;\; volume}{Volume\;\; of\;\; one\;\; cell} = \frac{1\;cm^{3}}{5 * 10^{-11}\;cm^{3}} = \frac{10^{11}}{5}$ = 2 × 10¹⁰ cells.

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3 years ago

A 5000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for

SOVA2 [1]

Answer:

2600 into the account earning 1% interest

2400 into the account earning 6% interest

Step-by-step explanation:

let x= account earning 1% interest

y= account earning 6% interest

we can write

x+y=5000 (equation 1)

.01x+.06y=170 (equation 2)

mulitply equation 1 by .01

.01x+.01y=50

subtract this from equation 2

(.01x+.06y)-(.01x+.01y)= 170-50

.05y= 120

y= 2400

Plug in y= 2400 into equation 1

x+2400=5000

x=2600

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3 years ago

Name

Anvisha [2.4K]

Answer:

4x+8

6x-8

$48x^2+30x-4$

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4) =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)

$=(12-24x)2x-4+6x$

$=24x-48x^2-4+6x$

$=-48x^2+30x-4$

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3 years ago

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3 years ago