Jenna is putting a ribbon around the border of a square frame. The area of the frame is 196 square inches. How long will the rib
1 answer:
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Let's assume
number of shorts is x
we are given
People bought 2 times as many T-shirts as shorts
so, number of T-shirts is 2*x=2x
Dots sells T-shirts ($3) and shorts ($7)
so, total price of T-shirts
so, total price of shorts
now, we are given
total sales were $520
so,
total price of T-shirts+total price of shorts = total sales
we will get equation
now, we can solve for x
so,
number of shorts is 40
number of T-shirts is 2*40=80............Answer
Answer:
Area of Δ ABC = 21.86 units square
Perimeter of Δ ABC = 24.59 units
Step-by-step explanation:
Given:
In Δ ABC
∠A=45°
∠C=30°
Height of triangle = 4 units.
To find area and perimeter of triangle we need to find the sides of the triangle.
Naming the end point of altitude as 'D'
Given
For Δ ABD
Since its a right triangle with one angle 45°, it means it is a special 45-45-90 triangle.
The sides of 45-45-90 triangle is given as:
Leg1
Leg2
Hypotenuse
where is any positive number
We are given BD(Leg 1)=4
∴ AD(Leg2)=4
∴ AB (hypotenuse)
For Δ CBD
Since its a right triangle with one angle 30°, it means it is a special 30-60-90 triangle.
The sides of 30-60-90 triangle is given as:
Leg1(side opposite 30° angle)
Leg2(side opposite 60° angle)
Hypotenuse
where is any positive number
We are given BD(Leg 1)=4
∴ CD(Leg2)
∴ BC (hypotenuse)
Length of side AC is given as sum of segments AD and CD
Perimeter of Δ ABC= Sum of sides of triangle
⇒ AB+BC+AC
⇒
⇒ units
Area of Δ ABC =
⇒
⇒ units square