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3 years ago

Use the order of operations to simplify 3/4 + 8(2.5 - 0.5)

Mathematics

2 answers:

inna [77]3 years ago

5 0

Answer:

The correct answer is B

Step-by-step explanation:

3/4+8(2.5-0.5)

8(2.5-0.5)=16

=3/4-1+16

16 x 4+3=67

67/4=16 3/4

TiliK225 [7]3 years ago

3 0

The answer is B 16 3/4

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Which of the following statements is false for an F distribution? a. Degrees of freedom for the numerator can be smaller than

Darina [25.2K]

Answer:

A. True

B. True

C. True

D. False

Step-by-step explanation:

Option D is the only clear option that is false.

The S distribution is a statistical tool used to check the homogeneity of two independent estimates when studying population variance.

When using an F distribution, The ratio of the degree of freedom of the numerator to the denominator can be >1, = 1 or < 1.

This implies that degrees of freedom for the denominator can be smaller than the degrees of freedom for the numerator.

This makes option D false and hence the correct answer

5 0

3 years ago

So I'm in an online class of geometry and one of the units is trig. but no matter how long i keep learning or trying to learn th

Arturiano [62]

Answer and explanation:

There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.

Those ratios relate two sides of a right triangle and one angle.

Assume the following features and measures of a right triangle ABC

right angle: B, measure β
hypotenuse (opposite to angle B): length b

angle C: measure γ
vertical leg (opposite to angle C): length c

horizontal leg (opposite to angle A): length a
angle A: measure α

Then, the trigonometric ratios are:

sine (α) = opposite leg / hypotenuse = a / b

cosine (α) = adjacent leg / hypotenuse = c / b

tangent (α) = opposite leg / adjacent leg = a / c

cosecant (α) = 1 / sine (α) = b / a

secant (α) = 1 / cosine (α) = b / c

cotangent (α) = 1 / tangent (α) = c / b

Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.

For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.

sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5

cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3

Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.

7 0

3 years ago

A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find

scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, $O(0,0)$ in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

$x^2=4ay\;\cdots(i)$

where $a$ is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is $A(83, -40)$ and $B(-83, -40).$

There is only one constant in the equation of the parabola, so, use either of one point to find the value of $a$ .

Putting $A(83,-40)$ in the equation (i) we have

$83^2=4a(-40)$

$\Rightarrow a=-43.05625$

So, on putting the value of $a$ in the equation (i), the equation of bridge is

$x^2=-172.225y$

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, $x=\pm 10$ feet, put this value in equation (i) to get the value of y.

$(\pm10)^2=-172.225y$

$\Rightarrow y=-1.72225$ feet.

The point $P_1(10,-1.72225)$ and $P_2(-10,-1.72225)$ represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is $d=1.72225$ feet and the distance of the base of the bridge from the x-axis is $h=40$ feet.

Hence, height from the base of the bridge at 10 feet from its center

$= h-d$

$=40-1.72225=38.27775$ feet.

8 0

3 years ago

Metodo igualacion A) x+ y = 12 B) x - y = 4 ?

Olenka [21]

<span>No sé la forma correcta de hacerlo, pero encontrar conjuntos de dos números que pueden igualar 12, luego encontrar cuál de los encaja en la segunda ecuación correctamente.</span>

6 0

3 years ago

Evaluate [16 ÷ (2 + 3 • 2)] + [4 • (36 – 25)]

maw [93]

Answer:

Step-by-step explanation:

There is an open + in the middle. It does not have any brackets around it. Therefore you do it at the very last.

Left side of the plus sign.

[16 ÷ (2 + 3*2)] Do the multiplication inside the parenthesis ( 2*3) first.

= [16 ÷ (2 + 6)] Add inside the parenthesis.

= [16 ÷ 8 ] Do the division

= 2

Right side of the open plus sign

[4 * (36 - 25)] Do the subtraction first.

[4 * 11 ] Do the multiplication

Now combine both right and left side.

2 + 44

The answer is 46.

8 0

3 years ago

Read 2 more answers