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3 years ago

Help me with this question for brainliest please

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

Step-by-step explanation:

We want to find the surface area, which will essentially just be the areas of all the figures given in the net.

We have two congruent triangles and 3 different rectangles.

Triangles:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:

A = (1/2) * b * h

A = (1/2) * 3 * 4 = 6

Since there are two triangles, multiply 6 by 2: 6 * 2 = 12 cm squared

Rectangles:

The area of a rectangle is denoted by: A = b * h, where b is the base and h is the height.

The base of the leftmost rectangle is 4 and the height is 7, so:

A = b * h

A = 4 * 7 = 28

The base of the middle rectangle is 3 and the height is 7, so:

A = b * h

A = 3 * 7 = 21

The base of the rightmost rectangle is 5 and the height is 7, so:

A = b * h

A = 5 * 7 = 35

Add these together:

12 + 28 + 21 + 35 = 96 cm squared

The answer is thus A.

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A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width

Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = $1\ m=100\ cm$

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

$Length=4x+5$

Now we use the formula of perimeter of rectangle,

$Perimeter=2(Length+width)$

On substituting the values, we get;

$2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9$

Now, we substitute the value of x to get the value of length;

$Length=4x+5=4\times9+5=36+5=41\ cm$

Thus, Width=9 cm Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0

3 years ago

The proportion of left handed people in the population is about 0.10. Suppose a random sample of 300 people is observed. (a) Wha

pantera1 [17]

Answer: $(\hat{p})\sim N(0.10,\ 0.017)$

Step-by-step explanation:

Sampling distribution of the sample proportion $(\hat{p})$ :

$(\hat{p})\sim N(p,\ \sqrt{\dfrac{p(1-p)}{n}})$

The sampling distribution of the sample proportion $(\hat{p})$ has mean = $\mu_{\hat{p}}=p$ and standard deviation = $\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ .

Given : The proportion of left handed people in the population is about 0.10.

i.e. p=0.10

sample size : n= 300

Then , the sampling distribution of the sample proportion $(\hat{p})$ will be :-

$(\hat{p})\sim N(0.10,\ \sqrt{\dfrac{0.10(1-0.10)}{300}})$

$(\hat{p})\sim N(0.10,\ \sqrt{0.0003})$

$(\hat{p})\sim N(0.10,\ 0.017)$ (approx)

Hence, the sampling distribution of the sample proportion $(\hat{p})$ is $(\hat{p})\sim N(0.10,\ 0.017)$

8 0

3 years ago

Put these numbers in order of size, smallest to largest 4.5,-1,-3,-3.5,3

kykrilka [37]

Answer:

-3.5, -3, -1, 3, 4.5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference

Novay_Z [31]

9514 1404 393

Explanation:

Given:

The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BAC
angle BAC = α + β

Prove:

angle BOC = 2×angle BAC

Proof:

∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°

2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°

∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles

(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1

∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides

∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion

7 0

3 years ago

Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the roofto

d1i1m1o1n [39]

Answer:

The distance between two cars is 110.64 feet.

Step-by-step explanation:

Angle of depression is defined as an angle between the line of sight and the horizontal.

Remember in a right angled triangle, the angle of depression is always same as the angle of elevation.

If $\theta$ be the angle of depression then,

$tan\theta=\frac{opposite}{adjacent}$

Given that,

Two car are travelling toward a hotel on the same road.

The height of the given building is 600 feet.

For the first car:

The angle of depression = The angle of elevation = 52°

Let the horizontal distance between the building and the car be x.

Here, $\theta =52 ^\circ$ , opposite = 600 feet, adjacent = x

$tan 52^\circ=\frac{600}{x}$

$\Rightarrow x=\frac{600}{tan 52^\circ}$

$\Rightarrow x\approx 468.77$ feet

For the second car:

The angle of depression = The angle of elevation = 46°

Let the horizontal distance between the building and the car be y.

Here, $\theta =46 ^\circ$ , opposite = 600 feet, adjacent = y

$tan 46^\circ=\frac{600}{y}$

$\Rightarrow y=\frac{600}{tan 46^\circ}$

$\Rightarrow x\approx 579.41$ feet

The distance between two cars is

= The distance of the second car from the building - The distance of the first car from the building

=(579.41-468.77) feet

=110.64 feet.

3 0

3 years ago