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3 years ago

Which expression is equivalent to - 2/5(x+0.8) + 1/50?

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

Answer:

-0.4x - 0.30 or $-\frac{2}{5} - \frac{3}{10}$

Step-by-step explanation:

Change all the fractions to decimals.

-2/5 = -0.4 Distribute that over x and 0.8 1/50 = 0.02

you get -0.4x -0.32 + 0.02

Change all the decimals to fractions.

0.8 is 8/10 so -2/5 times 8/10 is -16/50

-2x/5 - 16/50 + 1/50 add or subtract the fractions to get -15/50 Then reduce (÷5)

-2x/5 - 3/10

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Given the right angle triangle shown here, calculate:

charle [14.2K]

Answer:

see explanation

Step-by-step explanation:

(1)

(a)

sin(a) = $\frac{opposite}{hypotenuse}$ = $\frac{15}{17}$

(b)

cos(a) = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{17}$

(c)

tan(a) = $\frac{opposite}{adjacent}$ = $\frac{15}{8}$

----------------------------------------------------

(2)

(a)

sin(b) = $\frac{opposite}{hypotenuse}$ = $\frac{8}{17}$

(b)

cos(b) = $\frac{adjacent}{hypotenuse}$ = $\frac{15}{17}$

(c)

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5 0

2 years ago

Read 2 more answers

Prove that triangle ABD is congruent to triangle CBD.

Ede4ka [16]

Answer:

AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC

So we have two sides and included angle equal.

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

According to the rule above we can say triangles ΔABD ≅ ΔCBD

8 0

2 years ago

In a recent international sport competition, the top 3 countries— Country A, Country B, and Country C— won a total of 134 medals

vlada-n [284]

Answer:

Country A = 85, Country B = 29, Country C = 20

Step-by-step explanation:

A+B+C=134 ----- eq(1)

B=C+9 ------------ eq(2)

A=36+B+C ------ eq(3)

By substituting eq(2) in eq(3), we get:

A=36+C+9+C

A=2C+45 ------- eq(4)

Now substituting eq(2) & eq(4) in eq(1), we get

2C+45+C+9+C=134

4C+54=134

4C=134-54

4C=80

C=20

Now putting the value of C in eq(2),

B=20+9

B=29

Substituting the value of B & C in eq(1), we get:

A+29+20=134

A+49=134

A=134-49

A=85

6 0

2 years ago