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Arisa [49]
3 years ago
14

There are 75 students in a speech contest. Yesterday 1/5 of them gave their speech. Today, 3/5 of the remaining students gave th

eir speeches. How many students still haven't given their speeches?
Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer: 39 students.

Step-by-step explanation: 1/5 of 75 is 60. Now we need to find out what 3/5 of 60 is. 3/5 times 60 = 39. 39 students need to give their speeches.

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Two bowls and one cup weigh 800 grams. One bowl and two cups weigh 700 grams. Find the weight of the bowl and the cup
antoniya [11.8K]

Answer:

\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}  

Step-by-step explanation:

 Let b  = the mass of a bowl  

and c = the mass of a cup  

We have two conditions:  

\begin{array}{lrcl}(1) &2b + c  & = & 800\\(2) & b + 2c & = & 700\\\end{array}

Calculations:  

\begin{array}{lrcll}(3) & 4b + 2c &=  & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl  is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}

Check:

\begin{array}{rlcrl}2(300) + 200& =800 & & 300 + 2(200) & = 700\\600 + 200 & = 800& & 300 + 400 & = 700\\800 & = 800& & 700 & = 700\\\end{array}

OK.

6 0
3 years ago
A triangle has sides with lengths of 4, 12, and 13. Is it a right triangle
Iteru [2.4K]

Answer:

this is the anwser

Step-by-step explanation:

4 12 13 triangle

Obtuse scalene triangle.

Sides: a = 4   b = 12   c = 13

Area: T = 23.894

Perimeter: p = 29

Semiperimeter: s = 14.5

Angle ∠ A = α = 17.839° = 17°50'19″ = 0.311 rad

Angle ∠ B = β = 66.782° = 66°46'55″ = 1.166 rad

Angle ∠ C = γ = 95.379° = 95°22'46″ = 1.665 rad

Height: ha = 11.947

Height: hb = 3.982

Height: hc = 3.676

Median: ma = 12.349

Median: mb = 7.517

Median: mc = 6.144

Inradius: r = 1.648

Circumradius: R = 6.529

Vertex coordinates: A[13; 0] B[0; 0] C[1.577; 3.676]

Centroid: CG[4.859; 1.225]

Coordinates of the circumscribed circle: U[6.5; -0.612]

Coordinates of the inscribed circle: I[2.5; 1.648]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 162.161° = 162°9'41″ = 0.311 rad

∠ B' = β' = 113.218° = 113°13'5″ = 1.166 rad

4 0
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Answer:

I don't know just need points

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Answer:

75. by angle sum property of an traingle

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