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Ket [755]
3 years ago
10

I need help on both questions!

Mathematics
2 answers:
ankoles [38]3 years ago
8 0

Answer:

9 sq.m

Step-by-step explanation:

because the area of triangle is 1/2 *b*h

Art [367]3 years ago
7 0

Answer:

The area of the triangle is 9 sq. m.

Step-by-step explanation:

The formula of a triangle is 1/2 BH (Base times height divided by two) therefor 6x3/2 is 9, so your answer is 9 sq. m.

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X = y - 3
Leviafan [203]
The answer is A. (1, 4), because when the values are substituted in to the equations, you get 1 = 4 - 3 and 1 + 12 = 13, which are both correct. I hope this helps!
3 0
3 years ago
The curved surface area of a right circular cylinder of height 14 cm is 88 cm². ​
Slav-nsk [51]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

<u>GIVEN</u> :

As per given question we have provided that :

  • ➣ Height of cylinder = 14 cm
  • ➣ Curved surface area = 88 cm²

\begin{gathered}\end{gathered}

<u>TO</u><u> </u><u>FIND</u> :

in the provided question we need to find :

  • ➠ Radius of cylinder
  • ➠ Diameter of cylinder

\begin{gathered}\end{gathered}

<u>USING</u><u> </u><u>FORMULAS</u> :

\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}

\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}

  • ➛ Csa = Curved surface area
  • ➛ π = 22/7
  • ➛ r = radius
  • ➛ h = height
  • ➛ d = diameter

\begin{gathered}\end{gathered}

<u>SOLUTION</u> :

Firstly, finding the radius of cylinder by substituting the values in the formula :

\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\  \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}}  \\  \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\  \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times  \cancel{ 14}}}}  \\  \\  \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\  \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\  \\ \qquad{\longrightarrow{\sf{r =  \frac{88}{88}}}} \\  \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\  \\  \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\  \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}

Hence, the diameter of the base of the cylinder is 2 cm.

\rule{300}{2.5}

3 0
2 years ago
Read 2 more answers
9. Is the line through points P(7, 3) and Q(11, 0) perpendicular to the line through points R(6, –3) and S(3, 1)? Explain.A)Yes;
Alekssandra [29.7K]

Answer:

C) No, their slopes are not opposite reciprocals.

Step-by-step explanation:

First we find the slopes.

slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4

slope of RS = (-3 - 1)/(6 - 3) = -4/3

product of the slopes = (-3/4) * (-4/3) = 1

The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.

7 0
3 years ago
REALLY NEED THIS:( What is the effect on the graph of the function () = 1 when () is replaced with ( + 8)? A) shifted 8 units up
maria [59]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Find the area of each figure below
Ugo [173]

Answer:

25. 27a^{3}b^{2}

26. 3\pi x^{3}y

Step-by-step explanation:

For 25:

A = \frac{a+b}{2} h  (area of a trapezoid)

A=\frac{11a^{2}b+7a^{2}b}{2} *3ab  (substitute terms)

= \frac{18a^{2}b}{2}*3ab  (collect like terms)

= 9a^{2}b*3ab  (reduce the fraction by crossing out 2)

= 27a^{3}b^{2}  (calculate)

For 26:

A=\pi r^{2}  (equation of area of a circle)

A=\pi (3x^{3} y)^{2}  (enter the radius)

= 3\pi x^{3} y  (communtative property to reorder the terms)

7 0
2 years ago
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