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Fiesta28 [93]
3 years ago
12

Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0
-8
2/3(-21/3) + 2/3(-15/3)
-42/9 + -30/9
-72/9 = -8
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I dont get this please help
Viktor [21]

Step-by-step explanation:

the side lengths of the base (the ground triangle) are equal. that means every ground side length is 8 in.

and that also makes the 3 triangles of the side areas of the pyramid equal.

so, for the surface area of the pyramid we need to calculate the area of one side area triangle, multiply it by 3 (as we have 3 side areas) and add the area of the ground triangle.

the area of a triangle is

baseline × height / 2

so, for a side area triangle we get

8 × 14 / 2 = 8×7 = 56 in²

all 3 side areas together are then

3×56 = 168 in²

the ground area triangle is then

8 × 6.9 / 2 = 4 × 6.9 = 27.6 in²

so, the total surface area of the pyramid is

168 + 27.6 = 195.6 in²

4 0
2 years ago
What is the greatest common factor for 18 & 130
Novay_Z [31]
18|2\\.\ 9|3\\.\ 3|3\\.\ 1|\\\\18=\fbox2\times3\times3\\--------------\\130|2\\.\ 65|5\\.\ 13|13\\.\ \ 1|\\\\130=\fbox2\times5\times13\\---------------\\\\GCF(18;\ 130)=\fbox2
6 0
3 years ago
Read 2 more answers
Omg pls help ill give you 20 points
ElenaW [278]

Answer:

Step-by-step explanation:

Amount of water in tank 1 = amount of water in tank 2

30t +25  = -20t + 1000

Add 20t to both sides

30t + 20t + 25 = -20t + 20t + 1000

50t + 25 = 1000

Subtract 25 from both sides

50t + 25 - 25 = 1000 - 25

50t = 975

Divide both sides by 50

t = 975/50 = 39/2

  = 19 \frac{1}2}

t = 19 minutes 30 seconds

After 19 1/2 minutes both tanks will have 610 liters of water

5 0
2 years ago
The cost of a bag of 8 peaches is $16. You could also buy individual peaches for
Veronika [31]

Answer: The peaches sold in bags

Step-by-step explanation:

16/8=2 This means that a single peach in the bag of peaches is worth $2. This is $0.15 cheaper than buying a single peach

The unit rte for a single peach is $2.15

The unit rate for a single peach in the bag of peaches is $2

5 0
3 years ago
Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te
motikmotik

Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

4 0
1 year ago
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