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3 years ago

1. It is three-digit whole number.

Mathematics

1 answer:

sergiy2304 [10]3 years ago

5 0

Answer:

375

Step-by-step explanation:

thre digit odd multiples of 25 >200 and <700 are 225,275,325,375,425,475,525,575,625,675

if all the digits are odd and different ,then 375,475

4+7+5=16 so not divisible by 3.

3+7+5=15 divisible by 3

375 satisfies all the conditions.

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Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean

Leno4ka [110]

Answer:

a = $\sqrt{7}$

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

$a^2+b^2=c^2$

Given that: b=3 and c=4

$a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7$

so a = $\sqrt{7}$

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}$

Please have a look at the attached photos.

3 0

4 years ago

ILL GIVE BRANILEST PLEASE HELP!

mezya [45]

Answer:

$x=60^{\circ}$

Step-by-step explanation:

The angle formed by $48+x$ and the angle marked as $72^{\circ}$ are co-interior angles and therefore must be supplementary (add up to 180 degrees).

Therefore, we have:

$48+x+72=180,\\x+120=180,\\x=\boxed{60^{\circ}}$

7 0

3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

3 years ago

which of the following expressions represents the distances between -4 and 5 on the number line? A.|-4+5| B.|4-5| C.|-5-(-4)| D.

Bas_tet [7]

Answer:

Option C - $|5-(-4)|$

Step-by-step explanation:

To find : Which of the following expressions represents the distances between -4 and 5 on the number line?

Solution :

According to number line,

<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->

-∞ -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +∞

The distance between -4 and 5 is given by,

$d=|5-(-4)|$

Solving the expression,

$d=|5+4|$

$d=|9|$

$d=9$

Therefore, The expression represents the distances between -4 and 5 on the number line is $d=|5-(-4)|$

So, Option C is correct.

4 0

3 years ago

Read 2 more answers

Leah has a 22 ounce coffee. she drinks 7 ounces. enter the percentage of ounces Leah has left of her coffee. round your answer t

Mademuasel [1]

Answer:

The percentage of ounces Leah has left of her coffee is 68.18%.

Step-by-step explanation:

The decrease percentage is computed using the formula:

$\text{Decrease}\%=\frac{\text{Original amount - Decrease}}{\text{Original amount}}\times 100$

It is provided that Leah originally had 22 ounce coffee.

Then she drinks 7 ounces of coffee.

Decrease = 7 ounces

Original = 22 ounces

Compute the percentage of ounces Leah has left of her coffee as follows:

$\text{Decrease}\%=\frac{\text{Original amount - Decrease}}{\text{Original amount}}\times 100$

$=\frac{22-7}{22}\times 100\\\\=\frac{15}{22}\times 100\\\\=68.1818182\%\\\\\approx 68.18\%$

Thus, the percentage of ounces Leah has left of her coffee is 68.18%.

5 0

3 years ago