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Yuri [45]
3 years ago
7

MNOP is a square. What are the values of t and f?

Mathematics
2 answers:
NeTakaya3 years ago
7 0

Answer:

t = 17.5 and f = 12

djyliett [7]3 years ago
3 0
The answer is: <span>t=17.5 and f=12
</span>
Hope this helps!!

~Lena~
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Maylin is mailing a package that has the
yarga [219]

Answer:

V=378 inch³

Step-by-step explanation:

The package is in the shape of a cuboid. The volume of a cuboid is given by :

V = lbh

l=length, b=breadth and h=height

Area of base = 54 inch²

Height of box, h = 7 in

It means that, volume of the package is :

V = 54 × 7

V=378 inch³

So, the volume of the package is 378 inch³.

3 0
3 years ago
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
What is the answer for this 9x+8=107
oee [108]

Answer:

x=11

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Logan made a treasure map he treasure is 25 cm away from his location if each 1 cm on the scale drawing equals 5 m then how far
Doss [256]
Logan is 125 meters away from the treasure.


Also, this question seems like an elementary school question, not a high school question, so why does it say that you are in high school?
8 0
3 years ago
What are the approximate solutions of 2x^2 + x = 14, rounded to the nearest hundredth?
Slav-nsk [51]
Hello,

2x²+x-14=0
Δ=1+4*14*2=113

x=(-1-√113)/4=-2,8839...≈-2.88
or x=(-1+√113)/4=2,40753≈2.41


7 0
3 years ago
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