Answer for brainilest and 10 points

triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm wo

BabaBlast [244]

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of x as follows:

x° + x° + 90° = 180°

2x° = 90°

x° = 45°

Compute the length of side AP as follows:

$cos\ 45^{0}=\frac{AP}{CA}$

$\frac{1}{\sqrt{2}}=\frac{AP}{5}$

$AP =\frac{5}{\sqrt{2}}\\\\AP=3.5$

Then the length of side AB is:

AB = AP + PB

= 3.5 + 3.5

= 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

= 7 + 5 + 5

= 17

Thus, the perimeter of the triangle ABC is 17 cm.

8 0

3 years ago

Which value of x makes the open sentence true?

xeze [42]

Answer:

x=1/2 or 0.5

B. 0.5

Step-by-step explanation:

Step one: Add x to both sides

you then get the equation 7=4x+5

Step two: subtract 5 from both sides

you then get the equation 2=4x

Divide both sides by 4 to undo the multiplication.

2/4=4x/4x

you get x=2/4 which simplifies to 1/2.

7 0

3 years ago

The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan

kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Length of PQ = $\sqrt{(1-1)^2+(2-6)^2}$

PQ = 4

Length of PR = $\sqrt{(1+4)^2+(2-2)^2}$

PR = 5

Length of QR = $\sqrt{(1+4)^2+(6-2)^2}$

QR = $\sqrt{25+16}$

= $\sqrt{41}$

= 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

= 4 + 6.4 + 5

= 15.4 yards

4 0

4 years ago

Help with formulas and explain

Vlad [161]

A. T. S.A =2* AREA OF TRIANGLE +PREIMETER*5.56

VOLUME=AREA OF *LENGTH[ 5.56]

B. T. S. A=πR{R + SLANT HIGHT }

VOLUME=1/3*π*R*HIGHT{ 7 }

volume of a sphere is 3 by 4 by R cube and surface area of a sphere is 4 Pi R Square

6 0

3 years ago

Kayla makes $8.30 an hour working at a clothing store. She is scheduled to get a 15% raise. Which expression can be used to calc

weqwewe [10]

Answer: her increase is 1.245 dollars an hour

Step-by-step explanation:

7 0

3 years ago

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