Answer:
false
Step-by-step explanation:
a natural number is a number you count by, you wouldn't cound by decimals or fractions
Answer:
As per the statement:
Shadow of tree = 10 ft
Shadow of boy = 2.5 ft
and
height of the boy = 5 ft
we have to find the height of the tree.
Since, the given triangles are similar their corresponding sides are in proportions
then;
Substitute the given values;
Multiply both sides by 5 we have;
Therefore, the height of the tree is , 20 ft
Answer:
The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73
Step-by-step explanation:
First problem:
It's asking for the distance he walks by walking around a rectangular box which is the perimeter.
Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.
Second problem:
Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90
-4x +45 + 7x + 24 = 90
3x + 69 = 90
3x = 21
x= 7.
Plug back x into both m<1 and m<2 to find the measure of the angles.
m<1 = -4(7) + 45 = 45-28 = 17
m<2 = 7(7) + 24 = 49 + 24 = 73
1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:
Chord lenght=2rSin(A/2)
2. Let's convert the angle from degrees to radians:
75°π/180°=5π/12
3. So, you have:
r: It is the radius of the circle (r=100 feet).
Sin: It is the sine function.
A: It is the angle subtended at the center by the chord (A=5π/12).
4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:
Chord lenght=2rSin(A/2)
Chord lenght=2(200 feet)(Sin(5π/12/2))
5. Therefore lenght of the chord is:
Chord lenght=18.2706 feet