<h3>Required Answer:</h3>
Shorter side = 9 cm
<h3>Question:</h3>
The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
<h3>Let:</h3>
- Length rectangle be a.
- Width of rectangle be b.
<h3>To find?</h3>
- Length of the shorter side of the rectangle.
<h3>Given:</h3>
- Perimeter of rectangle = 44cm
- Area of rectangle = 117cm²
<h3>Answer :</h3>
A/Q
Perimeter of rectangle = 44cm
We know:
p=2(L+B)
.°. ⇒44 =2(a+b)
⇒44 /2 =a+b
⇒22=a+b
So:
a=22-b
b=22-a
Now Let's put values in formula of Area
A/Q
Area of rectangle = 117cm²
We know:
Area =L×B
.°.117=ab
<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>b</u><u> </u><u>in</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u>
⇒117=a(22-a)
⇒117=22a-a²=0
⇒a-22a²+117=0
⇒(a- 9)(a- 13) = 0
.°. a=9
a=13cm
Let's put value of a as 13 to find b
⇒b=22-a
⇒b=22-13
⇒b=9cm
So the side having 9cm is shorter i.e. b
Answer:
12.5 hrs
Step-by-step explanation:
The rate at which the mower burns gas is 0.4 gallon / hr.
The greatest volume of gas that the tank can hold is 5 gallons.
If x is the number of hours the mower runs, then:
(0.4 gal/hr)x ≤ 15 gal, or x ≤ (15 gal) / (0.4 gal/hr), or x ≤ 12.5 hrs
Answer:
Supplementary angles are two angles whose measures add up to 180 degrees. ... Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are ... If the measure of the angle is twice the measure of the other, find the measure of each angle.
Step-by-step explanation:
Answer:
As per the given statement:
The distance from jack eyes to the top of the tower = 50.64 m
Also, jack and john eyes are 1.5 m from the ground.
Labelled diagram as shown in the attachment
Let BC = x m be the distance of the jack from the base of the tower and
AG = y m be the distance above 1.5 m from the the ground.
Using tangent ratio:
In triangle AGE;
Here, AG = y m and EG = 20+x m
then;
or we can write this as;
........[1]
Similarly, in AGF;
then;
or
......[2]
Substitute equation [2] into the equation [1], to solve for x;
or
Using distributive property:
we have;
Subtract 0.84 x from both sides we get;
Divide both sides by 0.892 we get;
Therefore, 18.8 meter johns from the base of the tower.