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2 years ago

Pls help i neeeeeeeeeeeeeeeed it

Mathematics

1 answer:

sp2606 [1]2 years ago

3 0

Area of the figure = 27 square units

Solution:

Number of full squares shaded = 24

Number of half squares shaded = 0

Number of more than half square shaded = 3

Number of less than half square shaded = 4

Area of the figure = Number of full square + Number of more than half square

+ Half of number of half squares

$=24+3+\frac{1}{2}(0)$

= 24 + 3

= 27 square units.

Area of the figure = 27 square units

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Complete the following proof. Prove: In an isosceles triangle, two medians are equal.

Paraphin [41]

Answer:

Midpoint of AB = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)

M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)

MA = √(3a / 2 - 0)² + b / 2 - 0)²

= √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4

NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

= √( a / 2 - 4a / 2)² + (b / 2 - 0)²

= √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

I tried my best hope its correct :0

8 0

2 years ago

H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t))

ASHA 777 [7]

Answer:

$h(g(t))=8t+8$

Step-by-step explanation:

We are given the two functions:

$h(t)=2t-2\text{ and } g(t)=4t+5$

And we want to find:

$h(g(t))$

So, by substitution, we acquire:

$h(g(t))=2(4t+5)-2$

Distribute:

$h(g(t))=8t+10-2$

Simplify:

$h(g(t))=8t+8$

5 0

2 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

5 months ago

Check this please I need grade

Elden [556K]

All good and for number 6 you should draw an acute angle

3 0

3 years ago

The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.

Elden [556K]

Answer:

height = 12 cm

base length = 4 cm

Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

x = y + 8

24 = y × (y + 8) / 2

48 = y × (y + 8) = y² + 8y

squared equation

y² + 8y - 48 = 0

solution

y = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 8

c = -48

y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

5 0

2 years ago