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3 years ago

Please answer as soon as possible

Mathematics

2 answers:

Gre4nikov [31]3 years ago

6 0

For this case, we must find the equation of the line that passes through the given points. The equation is of the form:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

Having two points, we can find the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\(x_ {1}, y_ {1}) = (0,3)\\(x_ {2}, y_ {2}) = (7,0)$

Substituting:

$m = \frac {0-3} {7-0} = - \frac {3} {7}$

We have an equation of the form:

$y = - \frac {3} {7} x + b$

We substitute a point to find "b":

$3 = - \frac {3} {7} (0) + b\\3 = b$

Finally, the equation is:

$y = - \frac {3} {7} x + 3$

Answer:

Option C

Alik [6]3 years ago

4 0

Answer:y=3/7x+3 since 3 is the y intercept and you have to hit the positive 7 in the x intercept.

Step-by-step explanation:

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What is the value of the expression (–5) -3?

fgiga [73]

The answer to (-5)-3 is -8. I may be wrong but I did the work.

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3 years ago

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Mrs. Wallace bought a $125,000 CD with a term of 3 years. How much will she earn in 3 years?

Katena32 [7]

Answer: It depends on the banks APY

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Step-by-step explanation: Let’s say your bank gives you a rate of 2.10 %,

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3 years ago

1. in the figure FL=5 and HL= 8 what is FM (hint Pythagorean theorem and radi of circles)

marta [7]

1- FM is 3

we know that FM and FG are radius of the circle. so:
FM =FG

so if we find FG by Pythagorean theorem, we find FM, too

FL (hypotenuse) is 5

HL is 8. GL is half of HL. so GL is 4

now we can use Pythagorean theorem to find FG
$4 {}^{2} + {x}^{2} = {5}^{2} \\ {x}^{2} = {5}^{2} - {4}^{2} \\ {x}^{2} = 25 - 16 = 9 \\ x = \sqrt{9} = 3$

2- x is 40

BAD is half of m DB

ADB is half of m AB

so BAD is 50

and ADB is 90

Then ABD will be:
$180 - (50 + 90) = 180 - 140 \\ = 40$

good luck

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3 years ago

the perimeter of the circular base of a cone is 132 cm and its vertical height is 28 cm find the curved surface area total surfa

Elden [556K]

Answer:

i. Curved surface area = 2310 $cm^{2}$

ii. Total surface area = 3696 $cm^{2}$

iii. volume = 12936 $cm^{3}$

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2 $\pi$ r

132 = 2 $\pi$ r

r = $\frac{132}{2\pi }$

= $\frac{66}{\pi }$

r = 66 x $\frac{7}{22}$

= 3 x 7

= 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

$l^{2}$ = $h^{2}$ + $r^{2}$

= $28^{2}$ + $21^{2}$

= 784 + 441

= 1225

l = $\sqrt{1225}$

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = $\pi$ rl

= $\frac{22}{7}$ x 21 x 35

= 22 x 3 x 35

= 2310

curved surface area of the cone is 2310 $cm^{2}$ .

ii. Total surface area = $\pi r^{2}$ + $\pi$ rl

= $\pi$ r(r + l)

= $\frac{22}{7}$ x 21 (21 + 35)

= 22 x 3 x 56

= 3696

The total surface area of the cone is 3696 $cm^{2}$ .

iii. volume of a cone = $\frac{1}{3}$ $\pi r^{2}$ h

= $\frac{1}{3}$ x $\frac{22}{7}$ x $21^{2}$ x 28

= 12936

The volume of the cone is 12936 $cm^{3}$

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3 years ago

What is the lateral surface area of this right pyramid with a square base?

Brums [2.3K]

Answer:

The lateral surface area of a square pyramid is the sum of the areas of the side faces only, whereas the surface area is the lateral area + area of the base. The lateral area of a square pyramid = 2al (or) 2a√[(a 2 /4) + h 2]. To get the surface area, we need to add the area of the base (which is a 2) to each of these formulas.The surface area of a square pyramid = a 2 + 2al (or) a 2 + 2a[(a 2 /4) + h 2]. where, a = Length of the base (square) l = slant height; h = height of the pyramid.

Step-by-step explanation:

hope this helps if not let me know have a great day :)

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