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3 years ago

Help I’ve been stuck on these questions

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer:

3+4x

7-12

2x+14=18

four times a number

four times a number is added to seven

Step-by-step explanation:

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Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t

Evgesh-ka [11]

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

$Tan (x) = \frac{opposite}{adjacent}$
$Tan(x)= \frac{4}{2}$
$Tan(x)=2$
$Tan^{-1}(2)=63.43494882$
$Angle x=63.43$

$Tan(y)= \frac{opposite}{adjacent}$
$Tan(y)= \frac{2}{4}$
$Tan^{-1}(0.5)=26.56505118$
$Angle y=26.6$

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)

3 0

3 years ago

Read 2 more answers

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall

Volgvan

Answer:

The volume of the pill is $V=452\ mm^{3}$

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

we have

$V=\frac{4}{3}\pi r^{3}+\pi r^{2}h$

$r= (18-12)/2=3\ mm\\ h=12\ mm$

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}$

8 0

3 years ago

the length of an arc of a circle is 269⁢πcentimeters and the measure of the corresponding central angle is 65∘. what is the leng

scZoUnD [109]

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

= 269⁢π /(13π/36)

= 744.92 cm

Learn more about arc length of a circle at brainly.com/question/28108430

#SPJ4

6 0

2 years ago

Find an equation of the tangent line to the graph of

lakkis [162]

Answer:

y + 4 = -3 (x - 5)

In other words,

y = -3 x + 11

Step-by-step explanation:

The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.

The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).

Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,

m = 3,
a = 5, and
b = -4.

What will be the equation of this line?

6 0

3 years ago

Read 2 more answers

A pineapple has 9 grams of sugar per slice.

s2008m [1.1K]

Watermelon Is Correct Cos A Slice Of Pineapple Has 16 Grams Of Sugar But A Slice Of Watermelon Has 18 Grams

6 0

3 years ago