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4 years ago

Pls help

Mathematics

2 answers:

amid [387]4 years ago

7 0

Answer: maxium force = 785.2

Step-by-step explanation:

1.6m lower bound = 1.55

2.3m lower bound = 2.25

lower bound area = 1.55×2.25=3.4875

lower upper bound = 1.65×2.35=3.8775

pressure upper bound=202.5

pressure lower bound=197.5

202.5×3.8775=785.19375

197.5×3.4875=688.78125

force upper bound = 785.2

force lower bound = 688.8

gets you full marks

sineoko [7]4 years ago

4 0

Step-by-step explanation:

Force = pressure * area

= 200 * 3.7

= 740 N

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Bruce bought a map that cost $7.35 he used a $10 bill to pay for his map what is the change

ankoles [38]

$2.65

You can get this by subtracting the 7.35 from the 10.

10 - 7.35 = 2.65

3 0

3 years ago

Can someone help me with this please....ill give points and brainless

den301095 [7]

Answer:

The total surface area of the given cone is

$S = 4( \sqrt{3}+1)\pi cm^2$

Step-by-step explanation:

Step 1:-

Formula:-

The total surface area of cone is

$S.A = \pi r l +B$

$S.A = \pi r l +area of base$

$S.A = \pi r l+ \pi r^2$ ........(1)

Step 2:-

Given slant height $l = 2\sqrt{3} cm$

and radius of the circle (base) = 2

substituting these values in equation (1)

$S.A = \pi (2)(2\sqrt{3} ) + \pi (4)$

on simplification, we get

$S.A = \pi (4\sqrt{3}+4)$

Final answer :-

$S.A = 4 (\sqrt{3}+1)\pi cm^2$

8 0

3 years ago

1. Latoya baked b cookies, her family ate 13 of them. Using b write an expression for the number of cookies that remained :)

fiasKO [112]

Answer:

b-13

Step-by-step explanation:

I'm pretty sure this is right? Unless I'm missing something, if I am I am terribly sorry.

5 0

3 years ago

Read 2 more answers

Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t

katrin2010 [14]

Answer:

$\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24$

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of $\triangle ACD$ and the hypotenuse of $\triangle ADB$ .

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

$\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}$

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is $\angle CAD$ . The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

$\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}$

Now use this value in the Law of Sines to find AD:

$\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}$

Recall that $\sin 45^{\circ}=\frac{\sqrt{2}}{2}$ and $\sin 60^{\circ}=\frac{\sqrt{3}}{2}$ :

$AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}$

Now that we have the length of AD, we can find the length of AB. The right triangle $\triangle ADB$ is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio $x:x\sqrt{3}:2x$ , where $x$ is the side opposite to the 30 degree angle and $2x$ is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent $2x$ in this ratio and since AB is the side opposite to the 30 degree angle, it must represent $x$ in this ratio (Derive from basic trig for a right triangle and $\sin 30^{\circ}=\frac{1}{2}$ ).