Students ages 10-17 were survey about their eating habits during breakfast

The base of a triangle is 10cm greater than the height .the area is 28cm .find height and base

Naya [18.7K]

Answer:

Height = 5.6cm

Step-by-step explanation:

Area = 1/2bh

b = 10cm, area = 28cm^2

:- 28 = 1/2 × (10)h

28 = 5h

h = 28/5

h = 5.6cm

8 0

3 years ago

Find an equation of the plane through the point (−1,−5,−2)(−1,−5,−2) with normal vector n=⟨−5,−4,−1⟩n=⟨−5,−4,−1⟩.

Ostrovityanka [42]

Consider this option:
1. given: n(A;B;C)=n(-5;-4;-1) and A(-1;-5;-2)=A(x₀;y₀;z₀).
Common view of equation for a plane is Ax+By+Cz+D=0, where A,B,C,D - numbers.
2. from another side using coordinates of A and normal vector it is possible to make up the equation: A(x-x₀)+B(y-y₀)+C(z-z₀)=0 ⇒ -5(x+1)-4(y+5)-(z+2)=0; ⇒ -5x-4y-z-27=0 or 5x+4y+z+27=0.

7 0

3 years ago

Chemistry is an experimental science in which a consistent system of measurements is used. Scientists throughout the world use t

Elena L [17]

Answer:

(a) 142 km trip requires 15.16 Liters of Gasoline

(b) The money spent is 69.34 euros or $87.37.

(c) The average speed of sprinter is 34.45 km/h.

(d) 4 lb of candy contains 0.559 kg of dietary fat.

Step-by-step explanation:

(a)

Given that;

Mileage = 22 mi/gal

Converting it to km/L

Mileage = (22 mi/gal)(1 gal/3.78 L)(1 km/0.6214 mi)

Mileage = 9.36 km/L

Now, the gasoline required for 142 km trip:

Gasoline Required = (Length of trip)/(Mileage)

Gasoline Required = (142 km)/(9.36 km/L)

Gasoline Required = 15.16 L

(b)

Given that;

Mileage = 30 mi/gal

Converting it to km/L

Mileage = (30 mi/gal)(1 gal/3.78 L)(1 km/0.6214 mi)

Mileage = 12.77 km/L

Now, the gasoline required for 142 km trip:

Gasoline Required = (Length of trip)/(Mileage)

Gasoline Required = (115 km/day)(7 days/week)/(12.77 km/L)

Gasoline Required = 63 L/week

Now, we find the cost:

Weekly Cost = (Gasoline Required)(Unit Cost)

Weekly Cost = (63 L/week)(1.1 euros/L)

Weekly Cost = 69.34 euros/week = $87.37

since, 1 euro = $1.26

(c)

Average Speed = (Distance Travelled)/(Time Taken)

Average Speed = 200 m/20.9 s

Average Speed = (9.57 m/s)(3600 s/1 h)(1 km/ 1000 m)

Average Speed = 34.45 km/h

(d)

22.7 g piece contains = 7 g dietary fat

(22.7 g)(1 lb/453.592 g) piece contains = (7 g)(1 kg/1000 g) dietary fat

0.05 lb piece contains = 0.007 kg dietary fat

1 lb piece contains = (0.007/0.05) kg dietary fat

4 lb piece contains = 4(0.007/0.05) kg dietary fat

4 lb piece contains = 0.559 kg dietary fat

8 0

3 years ago

Find the surface area of the triangular prism shown below. Plz I really need help right now I know if you have the wrong answer.

7nadin3 [17]

Answer:

Step-by-step explanation:

A triangular prism is a prism that has two triangular faces and three rectangular sides.

The area of the rectangular sides is A = lbh

A = area, l = length, and h = height.

The area of the triangular faces is A = 1/2bh

A = area, b = base, and h = height.

7 0

3 years ago

Which function is a shrink of the exponential growth function shown on the graph?.

ale4655 [162]

Step-by-step explanation:

An exponential function is represented by function,

$y = a \times {b}^{x}$

Where a is the y intercept and b is the growth factor.

The graph passes through (0,1) which is our y intercept so a=1

Know let find b.

The graph pass through (1,3) so plug in 1 for x and 3 for y.

$3 = a \times 3 {}^{1}$

$a = 1$

So our base function is

$y = 1 \times 3 {}^{x}$

In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.

So the only option is

$y = \frac{1}{2} (3) {}^{x}$

Because 1/2<1

3 0

2 years ago