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2 years ago

Jovan is 15 years old. His sister is 6 years older than one-third his age. How old is Jovan’s sister?

Mathematics

2 answers:

jek_recluse [69]2 years ago

4 0

Answer:

11.

Step-by-step explanation:

One third of 15 is 5. Add 6, to get 11.

Hope this helps.

lianna [129]2 years ago

4 0

His sister is 11 years old

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The diagram shows a triangle.The sizes of the angles, in degrees, arex 30Work out the value ofx.Diagram NOTaccurately drawn

Korvikt [17]

X=25 degrees

2x+3x+x+30 = 180
6x+30 = 180
180 - 30 = 150
6x = 150
150/6 = 25
X = 25

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3 years ago

15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be

Arisa [49]

The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

To figure this out, first find 15% of 80 and then 25% of 48.

To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)

To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.

So, the final answer is B. They both equal to 12.

Hope it helps :)

6 0

2 years ago

Calculate the area of the triangle with the following vertices (3, -7), (6, 4), (-2, -3)

Monica [59]

Answer:

$\boxed{\mathsf{A} \triangle = \red{\dfrac{67}{2}u.a}}$

Step-by-step explanation:

Let's follow up with the solution. Considering a triangle with the vertices $\mathsf{A(x_A, y_A)}$ , $\mathsf{B(x_B, y_B)}$ and $\mathsf{C(x_C, y_C)}$ , have a look at the representation in the cartesian plan.

From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

$\mathsf{A} \triangle = \dfrac{\left| \begin{array}{ccc} \mathsf{x_A} & \mathsf{y_A }& 1 \\ \mathsf{x_B} & \mathsf{ y_B} & 1 \\ \mathsf{ x_C} & \mathsf{ y_C} & 1 \end{array} \right|}{2}$

So, applying this knowledge we're going to have,

$\mathsf{A} \triangle = \dfrac{\left| \begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2 & -3 & 1 \end{array} \right|}{2}$

$\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]$

$\mathsf{A} \triangle = \dfrac{12 + 14 - 18 - (-8 - 9 - 42)}{2}$

$\red{\mathsf{A} \triangle = \dfrac{67}{2} = 33,5u.a}$

Hope you enjoy it, see ya!)

$\green{\mathsf{FROM}}:$ Mozambique, Maputo – Matola City – T-3

DavidJunior17

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3 years ago

Sara and two roommates equally share the rent on their apartment. The rent is r dollars. Which expression shows Sara's share of

amid [387]

Answer:r/3

Step-by-step explanation:

r divided 3 will show the result of equal number for Sra and her roommates.

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2 years ago

What is the energy of an object has due to it’s motion is called wat

Snowcat [4.5K]

Answer:

The correct answer is Kinetic Energy

Step-by-step explanation:

From conservation of energy a body at rest posses energy called Potential Energy under which it acquired at particular position of the body i.e at rest

Then as soon body starts moving with a certain speed "v" there is conservation of energy from Potential energy to Kinetic energy given as product of a half with mass of the body and square of its velocity.

In formular K.E= 1/2mv^2 where m stands for mass of the body and v is the speed of the body.

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2 years ago

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