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3 years ago

9. AC ATis an isosceles triangle with base angles Cand Teach represented by (3 x +11)

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

Answer:

41°

Step-by-step explanation:

A triangle is a shape with three angles and three sides. There are different types of triangles such as equilateral triangle, scalene triangle, isosceles triangle, right angled triangle and so on.

An isosceles triangle is a triangle in which two sides and two angles are equal to each other.

In triangle CAT, ∠C = ∠T (base angles of an isosceles triangle are equal):

∠A + ∠C + ∠T = 180° (sum of angles in a triangle).

Hence substituting gives::

(9x + 8) + (3x + 11) + (3x + 11) = 180

9x + 3x + 3x + 8 + 11 + 11 = 180

15x + 30 = 180

15x = 180 - 30

15x = 150

x = 150 / 15

x = 10°

Hence ∠A = 9x + 8 = 9(10) + 8 = 98°, ∠C = ∠T = 3x + 11 = 3(10) + 11 = 30 + 11 = 41°

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10) Richard’s brain is 0.026 of his body weight. What percent of Richard’s body weight is his brain?

Crank

Since his whole body would be 100%, you have to multiply 100 by .026.
100 x.026 = 2.6%

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4 years ago

A bathtub contains 20 gallons of water. After the drain is opened, there are 14 gallons of water remaining after 30 seconds. Usi

leva [86]

Answer

a decrease of 0.2 gallons per second

Explanation

The drain was open for 30 seconds.

The water that ran out for 30 seconds = 20 - 14

= 6 gallons

Rate of decrease = (change in gallons)/(time taken)

= 6/30

= 0.2

The rate of change in the amount of water remaining in the tub per second will be the same as the one that ran out since the outlet is the same.

So the correct answer from the choices is "a decrease of 0.2 gallons per second".

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4 years ago

A cylinder has a radius of 4.5 inches and a height of 12 inches. What is the volume of the cylinder? Use 3.14 for π and round yo

andrey2020 [161]

Answer:

The correct answer is option (A) 763 in³.

Step-by-step explanation:

As per given question we have provided that :

$\red\star$ Radius of cylinder = 4.5 in
$\red\star$ Height of cylinder = 12 in

Here's the required formula to find the volume of cylinder :

$\longrightarrow{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}$

$\pink\star$ V = Volume
$\pink\star$ π = 3.14
$\pink\star$ r = radius
$\pink\star$ h = height

Substituting all the given values in the formula to find the volume of cylinder :

$\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}$

$\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5)}^{2}12}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5 \times 4.5)}12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14(20.25)12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14 \times 20.25 \times 12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 63.58\times 12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 762.96}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 763 }}}$

$\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} \approx 763 \: {in}^{3}}}}}}$

Hence, the volume of cylinder is 763 in³.

$\rule{300}{2.5}$

4 0

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Alex Ar [27]

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