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3 years ago

A small container and its lid are shown below.

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

4 0

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

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HELP PLZ ASAP!!!!!!!!!

Anon25 [30]

Use the quadratic formula, the second, the 6th answers are correct.

3 0

3 years ago

What is the 10th term of the geometric sequence 400, 200, 100...?

Vsevolod [243]

ANSWER

$a_ {10} = \frac{25}{32}$

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

$a_1=400$

The common ratio is

$r = \frac{200}{400} = \frac{1}{2}$

The nth term is

$a_n=a_1( {r}^{n - 1} )$

We substitute the known values to get;

$a_n=400( \frac{1}{2} )^{n - 1}$

$a_ {10} =400( \frac{1}{2} )^{10 - 1}$

$a_ {10} =400( \frac{1}{2} )^{9}$

$a_ {10} = \frac{25}{32}$

4 0

3 years ago

Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

RUDIKE [14]

Answer:

m<2 = 125°, m<8 = 55° and m<14 = 100°

Step-by-step explanation:

The question is incomplete.

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

Given

m<9 = 80°

m<5 = 55°

From the diagram, m<5+m<6 = 180°

Substitute m<5 = 55° into the formula, to get m<6

55+m<6 = 180

m<6 = 180-55

m<6 = 125°

From the diagram m<6 = m<2 = 125° (corresponding angles)

Also on line e, m<9 = m<12 = 80° (vertically opposite angles)

On line f, m<14+m<16 = 180° and m<12 = m<16 = 80

m<14+80° = 180°

m<14 = 180-80

m<14 = 100°

Also on line f, m<5 = m<8 (vertically opposite angles)

Since m<5 = 55°, m<8 = 55°

Also on line e, m<10 + m<12 = 180

Since m<2 = m<10 = 125° (corresponding angle)

To get m<12,

125+m<12 = 180

m<12 = 180-125

m<12 = 55°

Also m<10 = m<14 = 125° (corresponding angle)

On line e, m<10 = m<11 = 125° (vertically opposite angle)

Also on line e, m<3 = m<11 (corresponding angle)

This shows that m<10 = m<11 = m<3 = 125°

From the above calculation the angle measure that are correct are:

m<2 = 125°, m<8 = 55° and m<14 = 100°

4 0

3 years ago

Need help ASAP!!

mestny [16]

j + a = 50

j= a + 12

a+ 12 +a = 50

2a +12 = 50-12

2a = 38

a = 19

j =31

a = 19

Jordan is 31 years old and Anna is 19 years old.

4 0

3 years ago

Find the annual interest rate.

slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = $\frac{18}{12}=\frac{3}{2}$ years

Now, find the rate of interest using simple interest formula.

Simple interest formula:

$$I=\frac{Prt}{100}$

$$26.25=\frac{500\times r\times \frac{3}{2} }{100}$

$$26.25\times 100 =500\times r\times \frac{3}{2}$

$$2625 =250\times r\times 3$

$$2625 =750\times r$

$$\Rightarrow r=\frac{2625}{750}$

⇒ r = 3.5%

Hence the annual interest rate is 3.5%.

8 0

3 years ago