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levacccp [35]
3 years ago
14

Simplify 8-(-5) - 4(-7). О-63 оо ООО

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
8- (-5) - 4 (-7) = 41
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Helpeoepeoeoeo show work
alukav5142 [94]

<em>IMPORTANT THIGNS TO REMEMBER:</em>

  • Has 20 lb. dog food!
  • Gives dog 1 3/5 everyday!
  • Find how much eaten after 2 days!
  • Find how much is left!

<em>ANSWER:</em>

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

<em>EXPLANATION:</em>

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

4 0
3 years ago
Use the picture below to find the length of x. Round your answer to the nearest hundredth.
valentinak56 [21]

Answer: 6.71

=======================================

Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

4 0
3 years ago
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf
Sergeeva-Olga [200]

Answer:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

5 0
3 years ago
mariana tinha 169 balas ela prometeu dar a raiz quadrada de suas balas a seu primo igor Depois de dar as balas a seu primo,deu 3
koban [17]

√169= 13

169-13 = 156

156 - 37 = 119

Mariana ficou com 119 balas.

3 0
3 years ago
In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.
xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD      (∵Given)

∠ACB=∠CAD      (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}

Comparing first two, we get

⇒ \frac{x}{27}=\frac{12}{x}

⇒ x^2=27\times 12

⇒ x=\sqrt324=18

hence, the length of diagonal is 18 m



4 0
3 years ago
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