All categories

2 years ago

Write this statement as a conditional statement in the form “if p, then q.”

Mathematics

1 answer:

ss7ja [257]2 years ago

5 0

Answer:

if the measure of an angle is 90°, then the angle is a right angle.

Step-by-step explanation:

p=the measure of an angle is 90°

q=the angle is a right angle

p is the hypothesis of the conditional statement

q is the conclusion of the conditional statement

You might be interested in

una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la

seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$

we have

$P=6\ m$

$6=2(l+w)$

simplify

$3=(l+w)$

isolate the variable l

$l=3-w$ ----> equation A

The area of the window is equal to

$A=lw$

we have

$A=2\ m^2$

$2=lw$ ----> equation B

substitute equation A in equation B

$2=(3-w)w$

solve for w

$2=3w-w^2$

$w^2-3w+2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$w^2-3w+2=0$

$a=1\\b=-3\\c=2$

substitute in the formula

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$ ---> formula for calculating the width of the window

$w=\frac{3(+/-)\sqrt{1}} {2}$

$w=\frac{3(+/-)1} {2}$

$w=\frac{3(+)1} {2}=2\ m$

$w=\frac{3(-)1} {2}=1\ m$

7 0

3 years ago

Help solve for x. round to the nearest tenth

Llana [10]

Answer:

x = 3.7

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 24°

Opposite = x

Hypotenuse = 9

This, apply SOH:

Sin 24 = Opp/Hyp

Sin 24 = x/9

9 × Sin 24 = x

3.66062979 = x

x = 3.7 (nearest tenth)

4 0

2 years ago

What is an equation for "five more than the product of 7 and a number t?"

fiasKO [112]

the answer is 5+(7t)

6 0

2 years ago

If sin ⁡x=7/25, and 0 < x < π/2, what is cos⁡(x−3π/2)?

Likurg_2 [28]

Answer:

$Cos(x-\frac{3\pi}{2})=-\frac{7}{25}$

Step-by-step explanation:

Remember that $cos(x-y)=cos(x)cos(y)+sin(x)sin(y)$

Then,

$cos(x-\frac{3\pi}{2})=cos(x)cos(\frac{3\pi}{2})+sin(x)sin(\frac{3\pi}{2})\\$

But $cos(\frac{3\pi}{2})=0$ and $sin(x)=\frac{7}{25}$

Then

$cos(x-\frac{3\pi}{2})=cos(x)*0+\frac{7}{25}*sin(\frac{3\pi}{2})\\=\frac{7}{25}*(-1)=\frac{-7}{25}$

5 0

3 years ago

What is the ratio of 30 divided by 4:2

klasskru [66]

4:2 can represented as 4 / 2. Or also 2.

30 / 2 = 15

7 0

3 years ago