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3 years ago

Last math question please help thank you

Mathematics

2 answers:

Naddik [55]3 years ago

6 0

Answer:

Step-by-step explanation:

Remark

The question says to increase the lengths of each side by a factor of 1.5.

That means that every measurement we see on the diagram is multiplied by 1.5

QR = given length times 1.5

given length = 1.5

QR = 1.5 * 1.5

QR = 2.25

TS = given length * 1.5

TS = 2 * 1.5

TS = 3

TP = given length * 1.5

TP given = 3.8

TP = 3.8 * 1.5

TP = 5.7

RS = given length * 1.5

given length = 1.4

RS = 1.4 * 1.5

RS = 2,1

PQ = given length * 1.5

given length = 2.6

PQ = 2.6 * 1.5

PQ = 3.9

Ann [662]3 years ago

5 0

Step-by-step explanation:

QR= 1.5 inches

TS= 2 inches

TP= 3.8 inches

RS= 1.4 inches

PQ= 2.6 inches

now complete ur promise

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Manuel is planting a garden in the shape of a right triangle. The longer leg is 3 ft longer than the shorter leg. The hypotenuse

Gnesinka [82]

Answer:

The length of shorter side of triangle is 9 cm

The length of longer side of triangle is 12 cm

The length of hypotenuse is 15 cm

Step-by-step explanation:

Given as , for the garden in the shape of right triangle :

Let The length of shorter side = B = x ft

So , the length of longer side = P = ( x + 3 ) ft

And The hypotenuse length = H = ( 3 + P ) ft

I.e H = ( 3 + x + 3 ) ft = ( x + 6 ) ft

Now from Right angled Triangle method

Hypotenuse² = Perpendicular² + Base²

Or, ( x + 6 )² = ( x + 3 )² + x²

Or, x² + 12 x + 36 = x² + 6 x + 9 + x²

Or, - x² + 6 x + 27 = 0

Or, - x² + 9 x - 3 x + 27 = 0

Or, - x ( x - 9 ) - 3 ( x - 9 ) = 0

So, ( x - 9 ) ( - x - 3 ) = 0

∴ x = 9 , - 3

So, shorter length = x = 9 cm

The longer length = x + 3 = 9 + 3 = 12 cm

The hypotenuse length = x + 6 = 9 + 6 = 15 cm

Hence The length of shorter side of triangle is 9 cm

The length of longer side of triangle is 12 cm

And The length of hypotenuse is 15 cm . Answer

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SashulF [63]

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3 years ago

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dimaraw [331]

Given:
total of 224 visitors
older than 18 paid $12
18 and below paid $8
total collection 2,520

Let l be visitors older than 18 and m be visitors 18 and below.

l + m = 224
12l + 8m = 2,520

l = 224 - m
12(224 - m) + 8m = 2520
2688 - 12m + 8m = 2520
-4m = 2520 - 2688
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m = -168/-4
m = 42 number of visitors 18 and below.

l = 224 - m
l = 224 - 42
l = 182 number of visitors older than 18.

12(182) + 8(42) = 2520
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Step-by-step explanation:

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Find all the solutions of the given system of equations. 3x-4y=2 9x-12y=6

Mkey [24]

I will try to solve your system of equations.
3
x
−
4
y
=
2
;
9
x
−
12
y
=
6
Step: Solve
3
x
−
4
y
=
2
for x:
3
x
−
4
y
+
4
y
=
2
+
4
y
(Add 4y to both sides)
3
x
=
4
y
+
2
3
x
3
=
4
y
+
2
3
(Divide both sides by 3)
x
=
4
3
y
+
2
3
Step: Substitute
4
3
y
+
2
3
for
x
in
9
x
−
12
y
=
6
:
9
x
−
12
y
=
6
9
(
4
3
y
+
2
3
)
−
12
y
=
6
6
=
6
(Simplify both sides of the equation)
6
+
−
6
=
6
+
−
6
(Add -6 to both sides)
0
=
0
Answer:
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