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2 years ago

In the figure is a right triangle ABC with AC=10cm and BC=6cm. Determine: 1.5.1 The height AB (hint: Theorem of Pythagoras)

Mathematics

1 answer:

Alexxandr [17]2 years ago

3 0

Answer:

height AB is 8 cm

Step-by-step explanation:

AB= √AC^2- BC^2

= √(10)^2- (6)^2

= √100-36

= √64

= 8

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The product of 8/9 and the sum of a number and – 4 is less than or equal to 64.

Fiesta28 [93]

Answer:

$x\leq 76$

Step-by-step explanation:

Let x = unknown number

$\implies \dfrac89 \times (x-4)\leq 64$

$\implies \dfrac{8(x-4)}{9}\leq 64$

Multiply both sides by 9:

$\implies 8(x-4)\leq 576$

Expand brackets:

$\implies 8x-32\leq 576$

Add 32 to both sides:

$\implies 8x\leq 608$

Divide both sides by 8:

$\implies x\leq 76$

6 0

1 year ago

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A scale on a map shows that 2 inches = 25 miles.

Simora [160]

A:
2 inches - 25 miles
x inches - 60 miles

Set up a proportion:
$\frac{2}{25} = \frac{x}{60} \\ \\
\frac{2}{25} \times 60=x \\ \\
\frac{120}{25}=x \\ \\
x=4.8$

4.8 inches on the map represent 60 miles.

B:
2 inches - 25 miles
1/4 inches - x miles

Set up a proportion:
$\frac{2}{25}=\frac{\frac{1}{4}}{x} \\ \\
\frac{2}{25}x=\frac{1}{4} \\ \\
x=\frac{1}{4} \times \frac{25}{2} \\ \\
x=\frac{25}{8} \\ \\
x=3.125$

3.125 miles are represented by 1/4 inches on the map.

4 0

2 years ago

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The problem for my last question. Plz answer!

Svetlanka [38]

Answer:

Find the difference between 4.5 and 40 which is 35.5 then divided that by 100 since you want the percent and that equals 0.35 which is 35%

4 0

2 years ago

Experimental probability

natulia [17]

What are you asking here exactly

7 0

2 years ago

Finn removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be

aksik [14]

Answer:

Step-by-step explanation:

The expression used to model the volume, in gallons, is 12x^2-13x+3

When the through is empty it means that there is no water in it wich means that the expression used equals 0

● 12x^2-13x+3 = 0

The expression is quadratic equation so to solve it we will use the discriminant method

The discriminant is b^2-4ac

● b= -13

● a= 12

● c= 3

b^2-4ac = (-13)^2+4×12×3 = 25

25 > 0 so the discriminant is positive

We have two solutions

Let x and x' be the solutions

x = (-b-5)/2×a =(13-5)/24 = 8/24 = 1/3

5 is the root square of 25 (the discriminant)

x' = (-b+5)/2a = (13+5)/25 = 18/24 = 3/4

The solutions are 1/3 and 3/4

1/3 = 0.34

3÷4 = 0.75

The through can't be empty from water in two different times

So it will be empty when reaching one of the 2 solutions first

0.34 < 0.75

Then at 0.34 min the through is epty from water

5 0

2 years ago

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