Please help me with this question

9514 1404 393

Answer:

  5.69 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA can remind you of the relationships between angles and sides in a right triangle. Here, the useful ones are ...

  Cos = Adjacent/Hypotenuse

  Sin = Opposite/Hypotenuse

__

Using the first of these, we can find GD:

  cos(52°) = GC/GD

  GD = GC/cos(52°)

Using the second of these, we can find GH:

  sin(64°) = GH/GD

  GH = GD·sin(64°)

Substituting for GD, we find ...

  GH = GC·sin(64°)/cos(52°)

  GH ≈ (3.9 cm)(0.8988/0.6157)

  GH ≈ 5.69 cm

_____

Additional comment

The length 2.77 cm given in your question is the approximate length of DH. That solution is DH = (3.9 cm)·cos(64°)/cos(52°) ≈ 2.7769 cm ≈ 2.78 cm.

Problems of this nature tend to be formulated different ways, so the specific answer will depend on the specific question. Angles and lengths and requested information may vary, even though the picture looks very similar. Read all the words.

Answer:

34

Step-by-step explanation:

Answer:

x is 8

Step-by-step explanation:

Answer:

Question 1 is C

Step-by-step explanation:

Answer:

a: top right 1 top left 2 bottom left 3 bottom right 4

c: axis going horizontal is the x axis and the axis going vertical is the y axis

d: origin is the very middle and it is (0,0)

Step-by-step explanation:

Answer:

you could scan and take a picture in the app when u login

Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

This is the side facing the given angle

HI is the hypotenuse which is the side facing the right-angle

HJ is the third side which is the adjacent

Mathematically;

That is the Tan

Tan 71 = IJ/2

IJ = 2 Tan 71

IJ = 5.8

Answer:

301.75

Step-by-step explanation:

I hope this helps

Answer:

301.75

Check:

301.75 * 8 = 2414        Correct!

33+55

you would do 33+55

Answer:

The cone has a volume of approximately 982.5 cubic centimetres.

* That answer sounds off to me, but I'm not sure.  You might want to run through the logic yourself and see if you get the same results.

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and base radius. In other words:

[tex]v = \pi r^{2} \frac{h}{3}[/tex]

But before using that, we need to know the value of h, height.  What we are instead given is the slant height, or the length from tip to edge.

We can use that slant height along with the base radius to get the cone height, as the three of them are the edges of a right triangle, with slant height being the hypotenuse.

To get the height then we can say

[tex]h = \sqrt{s^{2} - r^{2}}[/tex]

Where h is height, s is slant, and r is radius.

[tex]h = \sqrt{14.8^{2} - 14^{2} }[/tex]

[tex]h = \sqrt{219.04 - 196}[/tex]

[tex]h = \sqrt{23.04}[/tex]

[tex]h = 4.8[/tex]

A very squat cone indeed.

Now we can plug that and the radius into the actual cone equation:

[tex]v = \pi (14cm)^{2} \frac{4.8cm}{3}\\= \pi 196cm^2 * 1.6cm\\\approx 985.2 cm^3[/tex]

Answer:

no, real numbers do not have first numbers.

Step-by-step explanation:

There are also more complicated number systems than the real numbers, such as the complex numbers. Every real number is a complex number, but not every complex number is a real number. Similarly, 3/7 is a rational number but not an integer.

Answer:

[tex]3.75\ \text{m}[/tex]

Step-by-step explanation:

A escala da réplica é  [tex]1:80[/tex]. Isso significa que 1 metro da réplica da escala representa 80 metros do edifício real.

Portanto, 1 metro do edifício real representa [tex]\dfrac{1}{80}[/tex] metros da réplica.

Precisamos encontrar a altura da réplica

[tex]420\ \text{m}=420\times\dfrac{1}{80}=5.25\ \text{m}[/tex]

Assim, a réplica da escala terá uma altura 5.25 m.

Está colocado numa sala com 9 m de altura.

A distância entre o topo da réplica e o teto do corredor é [tex]9-5.25=3.75\ \text{m}[/tex].

Answer:

1. x = 13

2. x=17

3. y= 34

Step-by-step explanation:

Answer:

Product of 6 and 9 = 54

Product of 3 and 9 = 27

Product of 2 and 9 = 18

Product of 2/3 and 9 = 6

:)

Answer:

The average rate of change on the given interval is 9/70

Step-by-step explanation:

Here, we are to find the average rate of change of the function on the given interval

We proceed as follows;

on an interval [a,b] , we can find the average rate of change using the formula;

f(b) - f(a)/b-a

From the question;

a = 0

b = 3

f(0) = -3/5

f(3) = -3/14

Substituting the values, we have;

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

[tex] \tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft[/tex]

Answer:

Its C and B

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

We see that the triangles are simalar to eachother, so we can set up this ratio:

x/(8+x) = 7/13

x = 56/13 + 7x/13

13x = 56 + 7x

6x = 56

x=56/6=28/3

Answer:

pog

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

you can round the numbers

27/3= 9

27.36 rounds down to 27 and 3.14 rounds to 3

Answer:

x=4

Step-by-step explanation:

16 = 4x

16/4 = x

4 = x

Answer:

The amount is $25.4

Step-by-step explanation:

There are 109 students to attend the science workshop.

Number of erasers needed is 109, but whole packages of erases can be bought which consist 12 erasers. The total packages of erasers needed would be 10.

The cost of 10 packages of erasers = $0.75 x 10

                                  = $7.5

The cost of 109 folders = 109 x $0.10

                                  = $10.9

Number of pencils needed is 109, but whole packages of pencils can be bought which consist 8 pencils. The total packages of pencils needed would be 14.

The cost of 14 packages of pencils = $0.50 x 14

                                  = $7.0

Total cost = $7.5 + $10.9 + $7.0

                = $25.4

The amount that would be spent by the school is $25.4

Answer:

25.4

Step-by-step explanation:

Answer:

65 + 0.20(65) = 65 + 13 = 78..they would have to sell 78 to get the bonus

Step-by-step explanation:

(65 - 60) / 65 = 5/65 = 0.0769 x 100 = 7.69 rounds to 7.7 % decrease compared to the 65 pizza's sold yesterday

Step-by-step explanation:

Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)

I.E.:

y = -3x - 12

Answer:

The answer is c

Step-by-step explanation:im doing math exam and got it right simple ;)

Answer:

Triangle B A C is similar to triangle E D F

Step-by-step explanation:

That's by SAS Theorem.

Hope you got it this may helps u ???

Answer:

The slope is 2/3

Step-by-step explanation:

(3,2);(−3,−2)

(x1,y1)=(3,2)

(x2,y2)=(−3,−2)

Use the slope formula:

m= y2−y1 /x2−x1

-2−2 /−3−3  

−4 /−6

2 /3

Answer:

0.525%

Step-by-step explanation:

Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...

35% / 100 = 0.35

0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage

0.00525 * 100 = 0.525%

Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%

Answer:

C. 6 + 8 would be equivalent to 6-(-8)

Answer:the answer is D

Step-by-step explanation: