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3 years ago

What is ZT?

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

8 0

Answer:

2x+14=12

Step-by-step explanation:

when you look the figure you can see the 2 arrows on the side which means they are constant and so you go on the xY and do 5x-6+4x+1 and solve

You might be interested in

(4x + 4)(ax – 1) – x2 +4

Oksana_A [137]

Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the $x^{2}$ terms and the constant terms must be cancel out.

Simplify it first.

$(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax$

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the $x^{2}$ terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

$4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}$

If we put a = ¼, then we can find the value of b:

$=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\$

$=-3x$

$bx=-3x\\$ if the expression is equivalent to bx

Therefore, b = –3.

8 0

3 years ago

As part of a demographic study, a college administrator needed to survey a sample of students from the college. From each major

marissa [1.9K]

Answer:

Option D is correct

Step-by-step explanation:

The options for the question is

a)cluster sample

b)convenience sample

c)simple random sample

d)stratified random sample

e)systematic random sample

Solution

The sampling here comprises of students from all the major of college. Here the major can be considered as "strata" of the educational institute. Out of these, strata or majors five students are selected on random basis.

This is a form of stratified random sample

Hence, option D is correct

4 0

2 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

3 years ago

8. A paper bag contains one pink crayon, four yellow crayons, three black crayons and two red crayons. What is the probability o

vivado [14]

Answer:

C 1/2

Add all the crayons together and then see how many red and black crayons there are. which in this case it's half. That is the probability

8 0

3 years ago

Check my work! (blue is my choice) | | | v

Irina18 [472]

Answer:

That's correct.

Step-by-step explanation:

I'm pretty sure...

3 0

3 years ago

Read 2 more answers