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2 years ago

The triangles are similar. The area of the larger triangle is 1200 cm?

Mathematics

2 answers:

Wittaler [7]2 years ago

7 0

Answer:

I would say 75cm^2.

borishaifa [10]2 years ago

4 0

Answer:

75 cm^2

Step-by-step explanation:

We have the lengths of two corresponding sides. The scale factor from the large triangle to the small triangle is 16/64 = 1/4. Each side of the smaller triangle is 1/4 times the length of the corresponding side of the large triangle.

For the areas, the scale factor is the square of the scale factor of the lengths. Area scale factor = 1/4^2 = 1/16.

The area of the small triangle is 1/16 the area of the large triangle.

area of small triangle = (area of large triangle) * (area scale factor)

area of small triangle = 1200 cm^2 * 1/6 = 1200 cm^2/16

area of small triangle = (1200 cm^2)/16 = 75 cm^2

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Rajesh invested $30,000 into an account that compounds interest monthly at a rate of 2.16%. He has made arrangements to withdraw

Bond [772]

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

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Rate of Interest (r) = 2.16 %

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Now, we have

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10 months ago

In circle p, td¯¯¯¯¯ and tb¯¯¯¯¯ intersect at t. ta=10, tc=8, cd=12, and ab=x+2. find ab. circle p. answer

inysia [295]

The answer is AB = 6.

External value x (external value + internal value) =
External value x (external value + internal value) of the other side

Substitute, transpose, and simplify.

TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
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To find AB: x + 12; x = 4
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2 years ago

Given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle

Anastasy [175]

Answer:

Part 1) False

Part 2) False

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

where

(h,k) is the center and r is the radius

In this problem the distance between the center and a point on the circle is equal to the radius

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Part 1) given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

$(x+3)^{2} +(y-4)^{2}=r^{2}$

Find the distance (radius) between the center (-3,4) and (-6,2)

substitute in the formula of distance

$r=\sqrt{(2-4)^{2}+(-6+3)^{2}}$

$r=\sqrt{(-2)^{2}+(-3)^{2}}$

$r=\sqrt{13}\ units$

The equation of the circle is equal to

$(x+3)^{2} +(y-4)^{2}=(\sqrt{13}){2}$

$(x+3)^{2} +(y-4)^{2}=13$

Verify if the point (10,4) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=10,y=4

substitute

$(10+3)^{2} +(4-4)^{2}=13$

$(13)^{2} +(0)^{2}=13$

$169=13$ -----> is not true

therefore

The point is not on the circle

The statement is false

Part 2) given the center of the circle (1,3) and a point on the circle (2,6), (11,5) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

$(x-1)^{2} +(y-3)^{2}=r^{2}$

Find the distance (radius) between the center (1,3) and (2,6)

substitute in the formula of distance

$r=\sqrt{(6-3)^{2}+(2-1)^{2}}$

$r=\sqrt{(3)^{2}+(1)^{2}}$

$r=\sqrt{10}\ units$

The equation of the circle is equal to

$(x-1)^{2} +(y-3)^{2}=(\sqrt{10}){2}$

$(x-1)^{2} +(y-3)^{2}=10$

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we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=11,y=5

substitute

$(11-1)^{2} +(5-3)^{2}=10$

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$104=10$ -----> is not true

therefore

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3 years ago

The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 t

Savatey [412]

The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A

Step-by-step explanation:

The given is:

The computer store pays its employees $150 per day plus a commission of 15% of their sales
Teagan wants to make at least $450 today

We need to find which equation will help Teagan to determine how much he has to sell today

Assume that he has to sell by $x today

∵ The store pays $150 per day plus a commission of 15%

of their sales

∵ Teagan's total sales = x

- Multiply 15% by x, then add the product by 150

∴ Teagan makes = 15% × x + 150

∵ 15% × x = $\frac{15}{100}$ × x = 0.15 x

∴ Teagan makes = 0.15 x + 150

∵ Teagan wants to make at least $450 today

- At least means ≥

∴ Teagan makes ≥ 450

- Substitute Teagan makes by 0.15 x + 150

∴ 0.15 x + 150 ≥ 450

The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today

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6 0

3 years ago

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