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2 years ago

Please help me with those questions

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

4 0

Answer:

5a) 2 sides are equal to each other

5b) $10\sqrt{2}$

6) 16 $\sqrt{2}$

Step-by-step explanation:

5b) I'm assuming that in this question you are trying to find the hypotenuse? So you use the pythagorean theorum, which is a^2+b^2=c^2. c represents the hypotenuse, so it would be 10^2+10^2=c^2 because the two sides are equal. Then 100+100=200 and the square root of that is 10\sqrt{2}.

6)a^2+b^2=32^2

since a=b you can write the equation as, 2a^2=1024

a^2=1024/2 , which equals a=\sqrt{512}

and simplify it to 16 $\sqrt{2}$

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Complete the statement. Since angle B is the largest angle, is the side.

postnew [5]

Answer:

∠B is the largest interior angle of the triangle, and AC is the largest side.

Step-by-step explanation:

Relationship of sides to interior angles in a triangle-

The shortest side of a triangle is always opposite to the smallest interior angle.
The longest side of a triangle is always opposite to the largest interior angle.

So converse of the second property is the side opposite to the largest interior angle is always the largest side.

As ∠B is the largest interior angle of the triangle, so its opposite side which is AC will be the largest side.

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3 years ago

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Select the correct answer. In the figure, a pair of parallel lines is cut by a transversal. What kind of angle are angles A and

ankoles [38]

The answer is A. corresponding angles

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3 years ago

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Match the solid figure to the appropriate formula.

AlekseyPX

1. $L \cdot A=\pi r l$ - Cone

2. $V=\frac{4}{3} \pi r^{3}$ - Sphere

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$ - Cylinder

4. $V=\frac{1}{3} B h$ - Pyramid

5. $L . A=p h$ - Prism

Solution:

1. $L \cdot A=\pi r l$

Lateral surface area of cone = $\pi r l$

where r is the radius of the cone and l is the slant height of the cone.

2. $V=\frac{4}{3} \pi r^{3}$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere.

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$

Total surface area of cylinder = $2 \pi r h+2 \pi r^{2}$

where r is the radius of the cylinder and h is the height of the cylinder.

4. $V=\frac{1}{3} B h$

Volume of pyramid = $\frac{1}{3} B h$

where B is the base area of the pyramid and h is the height of the pyramid.

5. $L . A=p h$

Lateral surface area of prism = $p h$

where p is the perimeter of the base and h is the height of the prism.

4 0

2 years ago

I need help with the last 2 I need the next 3 in the sequence and the nth term

kkurt [141]

Answer:

f. the sequence goes by the half of the previous number.

= 16, 8, 4, 2, 1, 1/2, 1/4, 1/8...

g. the sequence goes by adding the consecutive odd number added to the previous number.

first number= 3.

second number= 3+3

= 6

third number= 6+5

= 11

fourth number= 11+7

= 18

fifth number= 18+9

= 27

sixth number= 27+11

= 38

seventh number= 38+13

= 51, etc.

= 3, 6, 11, 18, 27, 38, 51...

7 0

3 years ago

$1000 is invested at 2.9% annual interest for 6 months. a. Simple Interest b. Compound Interest

kirza4 [7]

Answer:

a. Simple interest = $174

b. Compund interest = $1187.1

Step-by-step explanation:

Given the following data;

Principal, P = $1000

Interest, R = 2.9%

Time, T = 6 months

a. To find the simple interest;

S.I = (PRT)/100

S.I = (1000*2.9*6)/100

S.I = 17400/100

S.I = $174

b. To find the compound interest;

$A = P(1 + \frac{r}{100})^{t}$

Substituting into the formula, we have;

$A = 1000(1 + \frac{2.9}{100})^{6}$

$A = 1000(1 + 0.029)^{6}$

$A = 1000(1.029)^{6}$

$A = 1000(1.1871)$

A = $1187.1

8 0

2 years ago