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2 years ago

5

To make concrete, you need 3 times as much sand as cement. When Aaron was asked to formulate an equation about the relationship

between sand and cement in concrete, here’s what he wrote:

1 answer:

Flura [38]2 years ago

5 0

Answer:

yes

Step-by-step explanation:

im not sure i just ned credit

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The triangles are congruent by SSS or HL. The diagram shows the sequence of three rigid transformations used to map ABC onto A"B

Pani-rosa [81]

Answer:

The sequence of transformation used to map ABC onto A"B"C" is reflection, then rotation, then translation.

Step-by-step explanation:

To map ABC onto A"B"C" steps are:

step 1: Reflection of ABC

step 2: rotation of A'BC by some angle to obtain A'B'C'.

step 3: translation of A'B'C' by some units to the right to obtain the given transformation A"B"C".

7 0

2 years ago

Read 2 more answers

The half-life of cesium-137 is 30 years. Suppose we have a 170 mg sample.(a) Find the mass that remains after t years.(b) How mu

saul85 [17]

Answer:

212.9 years

Step-by-step explanation:

Given that the half-life of cesium-137 is 30 years. Suppose we have a 170 mg sample

P0 = 175

P(30) = 87.5

So we can write equation as

$P(t) = 170(\frac{1}{2} )^{\frac{t}{30} }$

b) After 60 years t = 30

In 30 years it becomes half and hence in 60 years it would become 1/4

i.e. $P(60) = 137(1/2^4) = 34.25$ mg

c) If P(t) =1, let us find t

$137(1/2)^{\frac{t}{30} } =1\\\\n = 7.098 years\\n = 7.1*30 = 212.9 years$

212.9

5 0

2 years ago

What is the length of AC ?<br><br> 3ft<br> 4ft<br> 9ft<br> 18ft

WINSTONCH [101]

ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:

$\dfrac{AC}{MN}=\dfrac{CB}{NB}\\\\MN=9\ ft\\CB=2\cdot3\ ft=6\ ft\\NB=3\ ft$

Substitute:

$\dfrac{AC}{9}=\dfrac{6}{3}\\\\\dfrac{AC}{9}=2\ \ \ \ |\cdot9\\\\AC=18\ ft$

5 0

2 years ago

You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi

Damm [24]

Answer:

Cabin is 567 yards away...

Step-by-step explanation:

The angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin)

Use the tan function:

opposite = 220 yards

adjacent = x

tan(21.2°) = (opposite / adjacent)

tan(21.2°) = 220 yards/x

x * tan(21.2°) = 220 yards

x = 220 yards/ tan(21.2°)

x= 220/ 0.388

x = 567 yards.

Cabin is 567 yards away...

6 0

2 years ago

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name

sattari [20]

Answer:

Given: A triangle ABC and a line DE parallel to BC.

To prove: A line parallel to one side of a triangle divides the other two sides proportionally.

Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have

∠A=∠A (Common)

∠ADE=∠ABC (Corresponding angles)

Thus, by AA similarity, ΔABC is similar to ΔADE, therefore

AB/AD= AC/AE

⇒AD+DB/AD = AE+EC/AE

⇒1+DB/AD = 1+ EC/AE

⇒DB/AD = EC/AE

Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.

⇒Therefore Proved

Hope this helps!!!

3 0

2 years ago