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3 years ago

Question 3 of 10

Mathematics

2 answers:

Goshia [24]3 years ago

7 0

Answer:Use the triangle congruence theorems below to prove that two triangles are congruent if:

Three sides of one triangle are congruent to three sides of another triangle (SSS: side side side)

Two sides and the angle in between are congruent to the corresponding parts of another triangle (SAS: side angle side)

Two angles and the side in between are congruent to the corresponding parts of another triangle (ASA: angle side angle)

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle (AAS: angle angle side)

The hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle (HL: hypotenuse leg)

Step-by-step explanation:

zalisa [80]3 years ago

6 0

Answer:

you add and then divid iokay

Step-by-step explanation:

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What is the volume of this square pyramid?

tatuchka [14]

Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

$V = \frac{a^2h}{3}$

Where a = side of the square base,

h = height of the pyramid,

By the given diagram,

a = 18 cm,

h = 12 cm,

Hence, the volume of the given pyramid,

$V = \frac{18^2\times 12}{3}$

$= \frac{324\times 12}{3}$

$=\frac{3888}{3}$

$=1296$ cube cm.

⇒ First option is correct.

5 0

3 years ago

An animal food company must produce 200kg. Of a

Sati [7]

Answer:

Minimum cost = 1200$

$x_1 = 80~kg\\x_2 = 120~kg$

Step-by-step explanation:

We are given the following information in the question:

An animal food company must produce 200 kg

$x_1 + x_2 = 200\\x_1 \geq 0\\x_2 \geq 0$

No more than 80 kg Of first ingredient can be used and at

least 60 kg Of second ingredient must be used.

$x_1 \leq 80\\x_2 \geq 60$

Cost of ingredient $x_1$ = Rs 3 per kg

Cost of ingredient $x_2$ = Rs 8 per kg

Total cost = $3x_1 + 8x_2$

We have to minimize this cost.

Then, we can write the following inequalities:

$6x + 8y \geq 208\\x \geq 8\\y \geq 8\\$

The corner points as evaluated from graph are: (0,200) and (80,120).

C(0,200) = 1600$

C(80,120) = 1200$

Hence, by corner point theorem, the minimum cost would be 1200$ when 80 kg of first ingredient is used and 120 kg of second ingredient.

The attached image shows the graph.

3 0

3 years ago

Please complete the following

DIA [1.3K]

Answer:

a) (1) 12 m/s

(2) 18 seconds

(3) 198 metres

b) 2 m/s

Step-by-step explanation:

a) (1) ****locate on the graph****

(2) if 2 small squares = 1 second

then (36/2 × 1) = 18 sec

(3) Dist= ?

Speed= 11 m/s

Time= 18 sec

D=(18×11 )= 198 m

b) a = change in velocity /change in time

initial velocity = 11 m/s

final velocity. = 28 m/s ***graph***

initial time. = 28 sec ***graph***

final time. = 36 sec ***graph***

a= (11 - 28)/(28/36)

a= (-16/-8)

a= 2 m/s

3 0

3 years ago

Help pls its due at midnight

Serga [27]

I wrote it for you because i didnt know how to write it out in a way that made sense

hope this works! xx

8 0

3 years ago

I'm stuck on 14-16 please help

sukhopar [10]

14 - 16 is -2.

Hope this helped.

3 0

4 years ago