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2 years ago

Determine the height in meters of a triangle with an area of 72 square meters and a base of 28 meters.

Mathematics

1 answer:

hammer [34]2 years ago

4 0

Step-by-step explanation:

The area A of a triangle is given by

$A = \frac{1}{2}bh$

where b is the length of the base and h is its height. Solving for h, we get

$h = \dfrac{2A}{b} = \dfrac{2(72\:\text{m}^2)}{28\:\text{m}}$

$\:\:\:\:= 5.14\:\text{m}$

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Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,

Serhud [2]

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

4 0

2 years ago

Find the dot product of U and V u=7i, v = -2i + 5j

alexandr1967 [171]

Answer:

-14

Step-by-step explanation:

Multiply the is together. Multiply the j's together. Add the answer. The answer is a scalar.

(7 × -2) + (5 × 0)

= -14

6 0

2 years ago

The coordinate plane below represents a city. Points A through F are schools in the city.

astra-53 [7]

Part A:
a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12

Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.

Part C:
To identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.

7 0

2 years ago

The cost of a ticket increases by 10% to £18.15 Work out the original cost.

Licemer1 [7]

Answer:

£16.50

Step-by-step explanation:

$x \times (1+\frac{10}{100} )=18.15$