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sukhopar [10]
2 years ago
15

Triangles SLB and DOG are similar with <S=<D and <L =<O. If SL, LB and SB are 3,4,5 respectively and DO=5 find OG an

d DG
Mathematics
1 answer:
xeze [42]2 years ago
3 0
All the side measures of ΔDOG will have the same relationship to their corresponding ΔSLB measures that DO has to SL.

OG/LB = DO/SL
OG/4 = 5/3
OG = 20/3

DG/SB = DO/SL
DG/5 = 5/3
DG = 25/3

In summary,
  OG = 20/3 = 6 2/3
  DG = 25/3 = 8 1/3
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Write and evaluate the expression. Then, select the correct answer. The sum of forty-five and a number; evaluate when n = 1. 1 4
Colt1911 [192]

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

45 + n,

Now, if the value of n is 1.1. Then the sum will be,

45+n\\\\=45+1.1\\\\=46.1

Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

Learn more about Expression:

brainly.com/question/13947055

6 0
1 year ago
Dennis made a scale drawing of his backyard using the scale 1/4 inch =3 feet the rectangular swimming pool was 2 inches long and
seraphim [82]
(1/4)x = 2 

x = 8 x 3 = 24 feet long

(1/4)x = 1

x = 4 x 3 = 12 feet wide

24ft x 12ft = 288ft^2
3 0
2 years ago
On a map the distance from Fort Collins to Cheyenne is 3.2 inches. The angle formed at Laramie has measure 43.6º, and the angle
MArishka [77]
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).

The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).

We can use the law of sines to solve this where:

sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches

We are told 1 in = 10.6 miles, therefore:

3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
7 0
2 years ago
When reading the computer output, the regression equation is typically buried among other statistics. The value of the slope is
Sauron [17]
Number of aircrafts = 2939.93 + 233.517 * (years since 1990).

The predicted number of aircrafts flying in 1992 (1922 does not make sense for this equation because it returns a negative number of aircrafts) is found by pluging in the years since 1990 to 1992 = 1992 -1990 = 2 =>

number of aircrats = 2939.93 + 233.517 * (2) =  3406.96.

That is the predicted number.

The actual number is on the graph. You just go to the explanatory value 2 (years since 1990) on the horizontal axis, move straight upward until you reach the corresponding point on the graph, and read its vertical coordinate (go horizontally to the left until the vertical axis)
6 0
2 years ago
A sphere has radius of 3 cm. What is the volume of the sphere?
Alex17521 [72]

Answer: 113.04 cm³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

V = \frac{4}{3} \pi r^{3}

Here, we are given that our sphere has a radius of 3 centimeters.

So plugging into the formula, we have (\frac{4}{3})(\pi)(3 cm)^{3}.

Start by simplifying the exponent.

(3 cm)³ is equal to 3 centimeters · 3 centimeters ·

3 centimeters or 27 cm³.

So we have (\frac{4}{3})(27 cm^{3})(\pi).

Notice that we can cross-cancel 3 and 27 to 1 and 9.

So we have (4)(9 cm³) which is equal to 36 cm³.

So we have 36π cm³.

So the volume of the sphere is 36π cm³.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.

So we have (36)(3.14) which is equal to 113.04 which means

that the volume of approximately equal to 113.04 cm³.

3 0
2 years ago
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