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MatroZZZ [7]
3 years ago
10

Solve the following equation​

Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

$ \pm \frac{10}{3} $

Step-by-step explanation:

Given:

$ \frac{4}{9} - \frac{x^2}{25} $

This can be written as $ \frac{4}{9} = \frac{x^2}{25} = x^2 = 25 \times \frac{4}{9} $

$ \implies x = \pm \sqrt{25 \times \frac{4}{9} } $

$ \implies x = \pm 5 \times \frac{2}{3}  = \pm \frac{10}{3} $

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The table below shows a proportional relationship between the number of songs downloaded and the total cost. Determine what valu
Ivan

Answer:

The cost for 5 songs is $5.35

Step-by-step explanation:

Find the unit rate for 1 song by dividing the total cost for 3 songs by 3

$3.21 ÷ 3 = $1.07

The unit rate is $1.07 per song, so multiply that by 5 to find the total cost for 5 songs

$1.07 * 5 = $5.35

6 0
2 years ago
!!Determine if the figure has line, points, and/or rotational symmetry.!!
pshichka [43]

Answer:

line

Step-by-step explanation:

you can obviously see lines in the shape

4 0
3 years ago
"determine the ratio of the volume of a" cone to the volume of a cylinder with the same height and base radius:
hichkok12 [17]
Volume of cone is 10
if the radius is r and height is h
while volume of cylinder is pi r 2nd power h,
volume of cone is 1/3 pi r 2nd power h.
hence with same r and h the volume of cone is one-third of that of cylinder and hence 
volume of cone is 10.

4 0
4 years ago
A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o
DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =\angle ACB = 45^{\circ}

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB

Hence The height of tree house is 70.71 feet

8 0
4 years ago
3. A garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The gar
Law Incorporation [45]
The answer is "3600 ft²".

Left triangle area=(1/2) x (30 ft) x (72 ft) = 1080 ft²


Middle walkway area=(20 ft) x (72 ft) = 1440 ft²


Right triangle area
=same as left triangle area, 1080 ft²


Total area1080 ft²+1440 ft²+1080 ft² = 3600 ft²
Now you can also check that;

Parallelogram area = base x height = (50 ft) x (72 ft) = 3600 ft²

6 0
4 years ago
Read 2 more answers
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