Answer:
The length of hypotenuse is 12.5
Step-by-step explanation:
First 7.5 x 7.5 = 56.25
Then 10 x 10 = 100
Add them together 56.25 + 100 = 156.25
Then square root 156.25 and you get 12.5
Using proportions, it is found that she will pay $8.28 in total after the discount.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Before tax, the total price is given by:
P = 3.59 + 4.25 + 3.99 = $11.83.
She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:
P = 0.7 x 11.83 = $8.28.
She will pay $8.28 in total after the discount.
More can be learned about proportions at brainly.com/question/24372153
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Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
,
(
−
2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
(
−
2
)
−
3
)
2
+
(
1
−
4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...
√
34
34
The result can be shown in multiple forms.
Exact Form:
√
34
34
Decimal Form:
5.83095189
…
Answer:
<h3>50m</h3>
Step-by-step explanation:
Given the dimension
Length of the rectangle = 8cm
Width = 5cm
Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m
If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;
5 * 10 = 50m
Hence the width of the new stage will be 50 m
Step-by-step explanation:
m=y2-y1/x2-x1
m=0-(-2)/4-2
m=2/2
m=1