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SOVA2 [1]
3 years ago
9

One number is 4 more than another, and their sum is 60. What is the smaller number?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
According to your question, there are 2 unknown numbers mentioned. Let the 2 unknown numbers be represented by the variables x & y, then x is considered to be one of the numbers being more than y by the addition of 4, .ie. x = 4 + y --- (1) The sum of the 2 numbers is 60, i.e. x + y = 60 --- (2) To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e. 4 + y + y = 60 4 + 2y = 60 2y = 60 - 4 2y = 56 y = 28 ...Ans. Recall that x is more than y by 4, then 28 is the smaller number.
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1-sin60÷cos60=1-Tan30÷1+Tan30
ipn [44]

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

8 0
3 years ago
Answer all questions shown
FromTheMoon [43]
SOH CAH TOA

—>

Sin D = 13 sqrt3/26 = 0.76
Sin E = 13/26 = 0.47
Cos D = 13/26 = 0.87
Cos E = 13 sqrt3/26 = 0.64
7 0
2 years ago
What is the percent of decrease from 25 to 15? Round your answer to the nearest tenth.
Dahasolnce [82]

Answer: 60%

Step-by-step explanation:

25=100%

50%=12.5

10%=2.5

12.5(50%) +2.5(10%)= 50%(15)

so the answer is 60%

7 0
2 years ago
write the standard form point slope form and slope intercept form of a line that passes through (-7,6) and has a slope of. -1
TEA [102]

Answer: See explanation

Step-by-step explanation:

Point slope form: y - y₁ = m (x - x₁)

y₁ = 6

x₁ = -7

y - 6 = -1 (x - [-7])

y - 6 = -1 (x + 7)

y - 6 = -1x - 7

Add 6 to both sides

y = -1x - 1    <em>or    </em>y = -x -1

Slope intercept form: y = mx + b

m = -1

b = 6

y = -1x + 6  <em>or   </em>y = -x + 6

Standard form: Ax + By = C

Change slope intercept form into _x + _y = c

Slope intercept form: y = -x + 6

Standard form:

y = -x + 6

Add x to both sides

x + y = 6    <em>or   </em>-x - y = -6

Hope I helped!

5 0
2 years ago
Brian is 1 meter 87 centimeters tall. Bonnie is 58 centimeters shorter than brian. Betina is 26 centimeters taller than bonnie.
Nady [450]

Answer:

1 meter 3 centimeters

Step-by-step explanation:

Brian: 1 meter 87 centimeters

Bonnie: 58 cm shorter than Brian.

So, we subtract 58cm from Brian's 1 meter 87 cm.

We get that bonnie is 1 meter 29 cm.

Now Betina is 26 cm shorter than bonnie, so we subtract 26cm from Bonnie's height.

We get 1 meter 3cm which is Betina's height.

4 0
3 years ago
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