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3 years ago

13

This summer, Nora spent 8 days visiting her aunt and 2 weeks visiting her grandmother. In all, how many days did she spend visit

ing?

1 answer:

balandron [24]3 years ago

8 0

Answer:

22

Step-by-step explanation:

1 week = 7 days

2 weeks= 14 days

14+8=22

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SOLVE 3(2 x-1)= 4 X+2

Tanya [424]

So, for this, "x" can equal 5/2 which is fraction form, OR it can be decimal form, which would be 2.5

I hope this helps!

3 0

3 years ago

Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.

SOVA2 [1]

Answer:

23.92°, 78.503°, and 77.577°

Step-by-step explanation:

The coordinates of the vertices of the triangle are;

X(-3, -5), Y(2, 6), Z(6, 3)

The vectors are;

z = $\left \langle 2 - (-3), 6 - (-5) \right \rangle$ = $\left \langle 5, 11 \right \rangle$

y = $\left \langle 6 - (-3), 3 - (-5) \right \rangle$ = $\left \langle 9, 8 \right \rangle$

x = $\left \langle 2 - 6, 6 - 3 \right \rangle$ = $\left \langle -4, 3 \right \rangle$

$cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}$

Therefore, we get;

$cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409$

α = arccos(0.91490) ≈ 23.92°

γ = The angle between -y and x

-y = $\left \langle -9, -8 \right \rangle$

We get;

$cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}$

Therefore;

$cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309$

γ = arccos(0.199309) ≈ 78.503°

γ ≈ 78.503°

By angle sum property, β = 180° - (α + β)

β ≈ 180° - (23.92° + 78.503°) = 77.577°

β ≈ 77.577°

The interior angles are;

23.92°, 78.503°, and 77.577°

4 0

2 years ago

Find two consecutive even numbers such that the difference of one half the larger and two fifths the smaller is equal to five.

kirill [66]

The answer would be this 1/2(n+2)-2/5n=5

6 0

3 years ago

Read 2 more answers

in Sean's fish tank there are six times as many goldfish as Guppies. There are a total of 21 fish in the tank. How many more gol

Verizon [17]

15 more. There are 3 guppies and 18 goldfish. Because 3+18=21 and 3x6=18

4 0

3 years ago

The ticket price for an ice hockey match used to cost ?19.60. The price has now increased by 12.5%. How much will 2 tickets cost

JulijaS [17]

ANSWER: $44.10

EXPLANATION: The actual cost for an ice hockey match is $19.60. Now, if the price of the ticket increases by 12.5%, the cost of each ticket will increase by $2.45.

$19.6 x 12.5% = $2.45

So, the final price of a single ticket will be $22.05

$19.6 + $2.45 = $22.05

Hence, the cost of two tickets after the increase will be $44.10

$22.05 x 2 = $44.10

6 0

3 years ago