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3 years ago

Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

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yKpoI14uk [10]

Answer:

Step-by-step explanation:

has a ratio of 6 to 1

4 0

3 years ago

Read 2 more answers

Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 fee

hram777 [196]

Answer:

199 square feet

Step-by-step explanation:

Given:

Trace needs a new carpet for her house.

Dimension of dining room = 6 feet by 4 feet.

Dimension of sitting area = 10 feet by 15 feet.

Dimension of breakfast nook = 5 feet by 5 feet.

Question asked:

How many square feet of carpet does she need ?

Solution:

First of all we will calculate the area of each part of the house and then add up.

$Area \ of \ dining\ room=length\times width$

$=6\times4\\ \\ =24\ square\ feet$

$Area \ of \ sitting\ part=length\times width$

$=15\times10\\ \\ =150\ square\ feet$

$Area \ of \ breakfast\ nook=(side)^{2}$

$=5^{2} =25\ square\ feet$

Total carpet needed will be needed = For dining + For sitting area + For breakfast nook

= 24 + 150 + 25

= 199 square feet

Therefore, she needs 199 square feet of a new carpet for her house.

6 0

3 years ago

The Sahara Desert has an area of approximately 9 400 000 km^2. While estimates of its average depth vary, they center around 150

Andrew [12]

Answer:

a). $1.128\times 10^{25}$ grains

b). $\frac{1}{8000}$

c). $6.54305\times 10^{7}$ years

Step-by-step explanation:

a). Given Sahara desert has an area of approximately = 9400000 km²

= 9400000×(10000000000) cm²

= $9.4\times 10^{16}$ cm²

Depth of the desert = 150 m

= 15000 cm

Volume of desert = Area × Depth

= $9.4\times 10^{16}\times 15000$

= $1.41\times 10^{21}$ cm³

Since 1 cm³ holds sand grains = 8000

Therefore, Grains in Sahara Desert = $1.41\times 10^{21}\times 8000$

= $1.128\times 10^{25}$

b). Since 1 cm³ = 8000 grains

1 grain = $\frac{1}{8000}$ cm³

c). A truck can carry sand = 20.5 m³ Or $20.5\times (10^{2})^{3} cm^{3}$

= $2.05\times 10^{7}$ cm³

Now time taken to recreate Sahara Desert = $\frac{\text{Total amount of sand}}{\text{Sand in one truck}}\times 30$ seconds

= $\frac{1.41\times 10^{21}}{2.05\times 10^{7}}\times 30$

= $20.6341463\times 10^{14}$ seconds

= $\frac{20.6341463\times 10^{14} }{365\times \times 24\times 3600}$ years

= $6.54305\times 10^{7}$ years

6 0

3 years ago

I kinda need help with this

sladkih [1.3K]

Answer:

34.25

Step-by-step explanation:

All you have to do is divide. Since they are both negative numbers, the outcome will be positive! -102.75 / -3 will equal 34.25. I hope this helps!

4 0

3 years ago

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian

Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

$\frac{3}{4}=0.75$

So,

$0$

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

6 0

3 years ago