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babunello [35]
2 years ago
14

Help please!I really need it, also show working out please30 points!​

Mathematics
2 answers:
ValentinkaMS [17]2 years ago
6 0

Step-by-step explanation:

3/16

it's correct one

if correct make me brainliest

igor_vitrenko [27]2 years ago
5 0

Answer:

(b) 3/16

Step-by-step explanation:

Let the area of the large triangle be 1

The area of one smaller triangle out of the 4 is 1/4*1

= 1/4

So the area of the middle triangle of the larger one is 1/4..

This has been further divided into 4 triangles

The area of one such triangle is one quarter of 1/4

= 1/4 * 1/4

= 1/16

So we can infer that the area of one shaded triangle is 1/16

It asks for the area of all 3 shaded triangles

= 3 * 1/16

= 3/16

So the area of the large triangle that has been shaded is 3/16.

Hope it helps!

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Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
2 years ago
What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
3 years ago
4 questions 50 points
MAXImum [283]
I hope this helps you

8 0
3 years ago
Select the positive or negative integer for the situation.
prisoha [69]

Answer:

1500

Step-by-step explanation:

deposit means put in and withdraw means take

6 0
2 years ago
Read 2 more answers
How many Senators are there in the Florida Senate?
alisha [4.7K]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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