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zmey [24]
3 years ago
11

150g increased by 5% how much does it weigh

Mathematics
1 answer:
blondinia [14]3 years ago
8 0
150÷100=1.5
1.5×5=7.5
150+7.5= 157.5g
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In Exercise 4, find the surface area of the solid<br> formed by the net.
Fittoniya [83]

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= 2(0.5*b*h) + 3(l*w)

Where,

b = 8 cm

h = \sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A =  2(0.5*8*6.9) + 3(20*8)

S.A =  2(27.6) + 3(160)

S.A =  55.2 + 480

S.A = 535.2 cm^2

6 0
3 years ago
Daniel wants to predict how far he can hike based on the time he spends on the hike. He collected some data on the time (in hour
blagie [28]

Linear equation is equation in which each term has at max one degree. The function that can represent the given graph is y=2.0769x + 1.5.

<h3>What is linear equation?</h3>

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on Cartesian plane with axes of those variables, give a straight line.

For the given graph the equation can be written as, y = mx+c, this is because the graph is a line which means the relationship is linear. Therefore, the equation can be written as,

y = mx + c

Now, there are two points that are on the line and the coordinates of this points are,

A = (4, 9.5)

B = (7.25, 16)

Further the slope of the equation is,

m = (16-9.5) / (7.25 - 4) = 2.0769

Since c is the y-intercept of the graph, therefore, the value of c is 1.5.

Thus, the function that can represent the given graph is y=2.0769x + 1.5.

Learn more about Linear equations:

brainly.com/question/27465710

#SPJ1

5 0
1 year ago
Need help on question please!!
Zepler [3.9K]

you'd use the pythagorean theorem.

a^2+b^2=c^2

a is the first leg, b is the second leg, and c is the third leg.

10^2+13^2=c^2

100+169=c^2

269=c^2

take the square root of both sides

16.4=c

16.4cm is your answer!

3 0
3 years ago
Read 2 more answers
Find the probability that a data value picked at random from a normally distributed population will have a standard score that c
DerKrebs [107]
P(z < 3)
From the normal distribution table,
P(z < 3) = 0.9987
8 0
3 years ago
If f(x)=-3x+1 then f^-1(x)=
enyata [817]

Answer:

f^-1 (x) = (1 - x)/3.

Step-by-step explanation:

f(x) = -3x + 1

3x = 1 - f(x)

x = (1 - f(x)) / 3

So f^-1 x = (1 - x)/3.

6 0
2 years ago
Read 2 more answers
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