A triangular flag has an area of 187.5 square inches. The base of the flag measures 25 inches. How tall is the triangular flag?

Answers

Answer 1
Answer: 15 inches
the formula for the area of a triangle is Area=(1/2)(base)(height)
since the problem is looking for the height, we can rewrite it as
 Height=(Area)/((1/2)(Base))
then the number must be substituted in
Height=(187.5)/((1/2)(25))
and the answer is 15 inches.
Answer 2
Answer: To find the height, you would do the area divided by the base, or in this case,187.5 / 25 which equals 7.5 inches.  Hope this helped!

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How many solutions does the equation 3x-7=4+6+4x have?

Answers

One, x = -17, since when you work it out, it will come to this.

an equation can have only one solution,

- 1x =  + 17
x = 17 /  - 1
x =  - 17

Quadrilateral ABCD is located at A(-2, 2), B(-2, 4), C(2,4), and D(2, 2). The quadrilateral is then transformed using the rule (x - 3, y + 4) to form the image A’B’C’D’. What are the new coordinates of A’,B’, C’, D’? Describe what characteristics you would find if the cooresponding vertices we’re connected With line segments

Answers

Answer:


Step-by-step explanation:

Given coordinates are-

A(-2,2) , B(-2,4) , C(2,4) , D(2,2)

Now, this coordinates will be changed using the following formula-

x'=x-3 , y'=y+4

That is , we have to subtract  3 from x-coordinate and add 4 with y-coordinate to get the new points.

So,

A'=(-2-3 , 2+4)=(-5 , 6)

B'=(-2-3 , 4+4)=(-5 , 8)

C'=(2-3 , 4+4)=(-1 , 8)

D'=(2-3 , 2+4)=(-1 , 6)

So, the new coordinates are -

A'(-5,6) , B'(-5,8) , C'(-1,8) , D'(-1,6)


And if we connect the coordinates we will get a rectangular prism.

The longest side of a triangle is twice as long as the shortest side the remaining side is 25cm find the length of the other two sides if the perimeter is 70 cm

Answers

Hello There,

There are 3 aspects x,y,z in a triangle. x = Shortest part z = Longest part y = third part provided that y=25; z=2x; x+y+z = 70 subsequently the respond is derived as follows: x+y+z = 70 x+25+2x = 70 3x+25 = 70 3x = 70-25 3x = 40 5 x = 40 5/3 x = 15 consequently the three aspects are x=15cm, y=25cm, and z=30cm And this could be a Scalene Triangle. desire that enables.

2x + x + 25 = 70

3x = 45

x = 15

Longest = 30

Shortest =15

70cm-25cm= 45cm.

45 divided by 3 = 15cm

longest side=30cm

shortest side=15cm

remaining side=25cm

perimeter=70cm

and then u have: 2x + x + 25 = 70

3x = 45

x = 15


Hope this Helps and Have a Nice Day Bye!

Final answer:

The shortest side of the triangle is 15 cm, the longest side is 30 cm, and the remaining side is 25 cm.

Explanation:

To find the lengths of the other two sides of the triangle, we can set up a system of equations using the given information.

Let the shortest side be x cm.

According to the problem, the longest side is twice as long as the shortest side, so it is 2x cm.

The remaining side is given as 25 cm.

From the perimeter of the triangle, we can write the equation:

x + 2x + 25 = 70

Simplifying the equation, we have:

3x + 25 = 70

Subtracting 25 from both sides, we get:

3x = 45

Dividing by 3, we find that:

x = 15

Therefore, the shortest side is 15 cm. The longest side is twice as long, so it is 2 * 15 = 30 cm. The remaining side is given as 25 cm.

Learn more about Triangle sides

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a farm raises cows and chickens. the farmer has a total of 42 animals. one day he counts the legs of all animals of his animals and realizes he has a total of 114. how many cows does the farmer have? how many chickens?

Answers

Let's call cows x, and chickens as y.

Cows have 4 legs
Chickens have 2 legs.

Let's make two equations from the information they gave us!

x + y = 42
4x + 2y = 114

Now, let's multiply the first equation by 4.

4x + 4y = 168
4x + 2y = 114

Now, subtract the second equation from the first one.

4x - 4x + 4y - 2y = 168 - 114

4y - 2y = 168 - 114

2y = 54

y = 27

Now, plug y = 27 into either equation and solve for x.

x + y = 42

x + 27 = 42

x = 42 - 27

x = 15



There are 15 cows and 27 chickens.

Find the values of x and y.

Answers

Refer to the notations above:

<BCD+40°=180° (angles on a strainght line)
<BCD=180°-40°
<BCD=140°

As BC=CD(given),△BCD is an isosceles triangle,thus <CBD=<CDB=x(properties of isosceles triangle).

We can then proceed to find x(<CDB and <CBD):

140°+ x + x=180°(angles sum of triangles)
2x=180°-140°
x=40°/2
x=20°

Then, we can again use the angles sum of triangle to solve y:

y+90°+20°=180°
y=180°-90°-20°
y=70°

Therefore, x=20° and y=70°.

Hope it helps!

What operation does the phrase less than suggest

Answers

The Giant Vampire Squirell The King Jesus Cobra Shark
I think subtraction which means to take away