Please answer asap I need help

The area of a triangular flag is 132 square centimetres. Its altitude is 2 centimetres longer than twice its base. Find the leng

Anika [276]

Answer:

24 cm and 11 cm

Step-by-step explanation:

GIVEN: The area of a triangular flag is $132 \text{ cm}^2$ . Its altitude is $2\text{ cm}$ longer than twice its base.

TO FIND: lengths of the altitude and the base.

SOLUTION:

Let the altitude and the base of flag be $a$ and $b$

According to the question

$a=2+2b$

area of triangle $=\frac{1}{2}\times base \times alltitude=\frac{1}{2}a\times b$

$\implies \frac{1}{2}(2b+2)b=132 \Rightarrow 2b^2+2b-264$

Solving equation we get

$b=11$ then $a=24$

Hence the lengths of altitude and base of triangular flag is 24 cm and 11 cm respectively.

8 0

3 years ago

Ms. Rudolph randomly selects one student from a group of students. 14 students are wearing a black shirt, 6 students are wearing

liubo4ka [24]

Answer:

14

29 as a fraction

Step-by-step explanation:

Based on the given conditions, formulate:

14=19+14+6）

2 Calculate

14

9+14+6

Calculate

14

23+6

Calculate the sum or difference

14

29

X

Calculate the sum or difference

14

29

Alternative forms

~ 0.482759, ~ 48.275862%,

4.827586 × 10

Hope it help :)

5 0

2 years ago

Find the value of the variables in each figure. Explain your reasoning.

sergiy2304 [10]

Answer:

see explanation

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

Each lower base angle is supplementary to the upper base angle on the same side, thus

15x + 30 + 10x = 180 , that is

25x + 30 = 180 ( subtract 30 from both sides )

25x = 150 ( divide both sides by 25 )

x = 6

Also

3y + 18 + 90 = 180 , that is

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24

-------------------------------------------------------------------

2x, 90 and x lie on a straight line and sum to 180 , thus

2x + 90 + x = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

------------

2y and x are alternate angles and congruent , thus

2y = x = 30 ( divide both sides by 2 )

y = 15

4 0

3 years ago

7. Liang is ordering new chairs and cushions for his dining room table.

Furkat [3]

Answer: 100c +34

Step-by-step explanation: I believe you add 88c and 12c together which simplifies the expression to 100c + 34 in total cost.

7 0

3 years ago

If f(1)=3 and f(n)=-2f(n-1)+ 1, then f(5)=

AlladinOne [14]

Our function is $f(n)=-2f(n-1)+1$ .
We want to find f(5).
Let's substitute 5 for n.
f(5) = -2f(5-1) + 1
f(5) = -2f(4) + 1
We need to know f(4).
f(4) = -2f(4-1) + 1
f(4) = -2f(3) + 1
We need to know f(3).
f(3) = -2f(3-1) + 1
f(3) = -2f(2) + 1
We need to know f(2).
f(2) = -2f(2-1) + 1
f(2) = -2f(1) + 1
We know that f(1) = 3
f(2) = -2(3) + 1
f(2) = -6 + 1
f(2) = -5
Now we can use f(2) = -5 to find f(3)...
f(3) = -2(-5) + 1
f(3) = 10 + 1
f(3) = 11
Now we can use f(3) = 11 to find f(4)...
f(4) = -2(11) + 1
f(4) = -22 + 1
f(4) = -21
Now we can use f(4) = -21 t find f(5)!
f(5) = -2(-21) + 1
f(5) = 42 + 1
f(5) = 43

7 0

2 years ago

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