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Rudik [331]
3 years ago
12

What is the measure of an obtuse angle​

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
Greater than 90° but less than 180°.
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A parabola can be drawn given a focus of (-4,10) and a directrix of y=-4 write the equation of the parabola in any form
sweet-ann [11.9K]

Answer:

(x+4)^2=28(y-3)

Step-by-step explanation:

The directrix of the parabola is the horizontal line with the eqaution y=-4. The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is x=-4

The distance between the directrix and the focus is |10-(-4)|=14, so p=14 and the vertex is at point \left(-4,10-\dfrac{14}{2}\right)\rightarrow (-4,3)

Parabola goes in positive y-direction, hence its equation  is

(x-x_0)^2=2p(y-y_0),

where (x_0,y_0) is the vertex, so the equation of this parabola is

(x+4)^2=28(y-3)

8 0
4 years ago
Find the surface area of the regular pyramid
Fofino [41]

Answer:

I do not know, but I do know the formula.

The formula is: 12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

3 0
3 years ago
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What is 11.876 rounded to the nearest tenth?
vesna_86 [32]

Answer:

11.9

Step-by-step explanation:

The tenth place is the first decimal. You round down from 1-4 and up from 5-9, so round up.

11.9

3 0
3 years ago
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Part B: The length of rod PR is adjusted to 17 feet. If width PQ remains the same, what is the approximate new height QR of the
Alenkinab [10]

Answer:

9.64ft

Step-by-step explanation:

Since the diagram tends to form...a right angled triangle....;

with PR = 17ft...,PQ = 14ft

then to calculate the length of QR

we use the pythagoras theorem...which is only applicable to right angled triangles

PR^2 = PQ^2 + QR^2

(17)^2 = (14)^2 + QR^2

where we make QR the subject of formula;

QR^2 = (17)^2 - (14)^2

QR = square root of( 289 - 196)

QR = square root of( 93)

;Therefore the length of QR = 9.64ft

5 0
3 years ago
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If 1 candy bar weighs 3 ounces what is the weight of 11 candy bars
Vera_Pavlovna [14]

Answer:

33 ounces

Step-by-step explanation:

Just multiply. If one weights 3 ounces 11x3=33

6 0
4 years ago
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