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gogolik [260]
3 years ago
7

the front of a tent is an equilateral triangle with the ratio of its base b toits height h given by b/h+2/3 rewrite the equation

to find the tents height
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

h = b(√3)/2

Step-by-step explanation:

The ratio of base to height of an equilateral triangle is ...

... b/h = 2/√3

Multiplying both sides of the equation by (√3)h/2, we get

.. h = b(√3)/2 . . . . . . your equation with h as the subject

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Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial
Effectus [21]

The formula to find the amount is

here A is amount

P is the principal

'r' is the rate of interest

n is the number of years.

Case 1.

Stevan invests

P =$ 20,000

r = 3% = 0.03

n = 10 years

Hence the interest earned

= A - P = 26878.33 - 20000 = $6878.33

Case 2.

Evan invests

P = $10,000

r = 7% = 0.07

n = 7 years

Hence the interest earned

= A - P = 16057.81 - 10000 = 6057.81

Difference in the interest = 6878.33 - 6057.81 = $820.52

Rounded to the nearest dollar difference in interest = $821

6 0
3 years ago
Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80
SashulF [63]
This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors


8 0
3 years ago
A cone has a height of 7ft and a radius of 4ft which equation can find the volume of the cone v=1.3 (7.2)
Margaret [11]

Answer:

The volume of a cone is:

V=(hπr^2)/3, where h=height and r=radius  

V=(7π4^2)/3

V=112π/3 ft^3

V≈117.29 ft^3  (to nearest hundredth of a cubic foot)

Step-by-step explanation:

4 0
3 years ago
What is the y-intercept for 10x+4y=20
stiv31 [10]

Answer:

5

Step-by-step explanation:

Hi,

find the x- and y-intercepts:

10x + 4y = 20

finding x-intercept when y = 0

 

10x = 20  

x = 2  Pt(2,0) the x intercept

finding y-intercept when x = 0

4y = 20

y = 5  Pt(0,5) the y intercept

3 0
3 years ago
Just answer the question in the picture. It's just math vocab! DO NOT answer for points OR SPAM LINKS!!! I will REPORT!
Alona [7]

Answer:

A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The distance from the center to the circumference of a circle

The diameter is the length of the line through the center that touches two points on the edge of the circle.

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.

A line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. The diameter is twice the size of the radius. A line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. A circle is the same as 360°.

A line that intersects two or more points on a curve. (From the Latin secare "to cut")

The length of the side opposite the angle divided by the length of the adjacent side.

A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency. A secant is a line that intersects a circle in exactly two points.

Common tangents to two circles may be internal or external. A common internal tangent intersects the line segment connecting the centers of the two circles whereas a common external tangent does not.

Step-by-step explanation:

they are in order! tell me if i made a mistake:)

7 0
3 years ago
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