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3 years ago

Can someone please help me :) !!!!

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

Answer:

Step-by-step explanation:

supplementary angles add up to 180

angle cgr and kga are vertical angles so they are equal

that makes the two angles in question add up to 180

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#3 please <br> What’s the answer & how do u do it

Monica [59]

Answer:

<h2>The desired equation is y = (4/3)x - 14/3.</h2>

Step-by-step explanation:

This new line passes thru (-4, 8) and (0, 5).

As we move from (-4, 8) to (0, 5), x increases by 4 and y decreases by 3.

Thus, the slope of this line is m = rise / run = -3/4.

Thus, the slope of a line perpendicular to the given line is the negative reciprocal of -3/4: 4/3.

Thus, the equation of a line perpendicular to the given line is

y = (4/3)x + b.

This line passes thru the point (5, 2). Thus, the following is true:

2 = (4/3)(5) + b, or 2 = 20/3 + b

Mult. this 2 by 3/3, we get 6/3, so that 6/3 = 20/3 + b. b = -14/3.

<h2>The desired equation is y = (4/3)x - 14/3.</h2>

6 0

3 years ago

An architectural firm wants to replicate a nearby estate with some changes. The new estate will be larger than the original by a

Oduvanchick [21]

Answer:

Option B.

Step-by-step explanation:

It is given that the new estate will be larger than the original by a scale factor of 1:10.

A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.

Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.

Let $x$ be the length of the legs of the triangle for the larger estate.

The hypotenuse of larger estate = 10 × 10 = 100

Using Pythagoras triangle,

$perpendicular^2+base^2=hypotenuse^2$

$x^2+x^2=(100)^2$

$2x^2=10000$

Divide both sides by 2.

$x^2=5000$

Taking square root on both sides.

$x=\sqrt{5000}$

$x=70.71\text{ meters}$

Hence, the correct option is B.

8 0

4 years ago

Please help I will give brainliest

GarryVolchara [31]

A
because a closed dot means included and it is going higher than -6 so it is greater than

6 0

3 years ago

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The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$

d) $t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)$

$N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h$

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3 years ago

Which of the following expressions cannot be written as a whole number?

Allisa [31]

9^0 its that answer because all the other number you can make a whole number.

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3 years ago

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