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Nataly_w [17]
3 years ago
7

What is 40% of 75? Enter your answer in the box.

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
6 0
40 percent of 75 is 30.
WITCHER [35]3 years ago
6 0

Answer:

30

Step-by-step explanation:

40% of 75

40/100 = x/75

Cross Multiply

40(75) = 100x

3000 = 100x

Divide by 100 on both sides

x = 30

Hope this helps :)

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Show with work please.
kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that \text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)

-\text{cos} \left(\theta\right)

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

\text{sec}(-\theta)=\text{sec}(\theta)

And, \text{sec}(\theta)=-0.73

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0
3 years ago
Stephen is making a map of his neighborhood. He knows the following information
Kitty [74]
The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.

The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).

In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.

15/9 = 10/HB
HB = 90/15
HB = 6 blocks.

To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.

3 0
4 years ago
Read 2 more answers
How many soulotion does y=4x−7 y=x−3 ​have
dolphi86 [110]
That equation has one solution
8 0
3 years ago
- A bakery received 2 shipments of
Vesnalui [34]

Answer:

1.88 pounds

Step-by-step explanation:

First, find the total amount of sugar, since there were 2 shipments

22.56(2)

= 45.12

Then, divide this by 24:

45.12/24

= 1.88

So, each canister had 1.88 pounds of sugar

8 0
3 years ago
A satellite is 19,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the sa
Jobisdone [24]

Answer:

The approximate distance is 15416 miles....

Step-by-step explanation:

We have given:

A satellite is 19,000 miles from the horizon of earth.

The radius is 4,000 miles.

Lets say that BC =x

AO = OB = 4,000 miles

AC = 19,000 miles

The tangent from the external point forms right angle with the radius of the circle.

So in ΔABC

(OC)² = (AC)²+(OA)²

where OC = x+4000

AC = 19,000

OA = 4000

Therefore,

(x+4000)² = (19,000)² +(4,000)²

Take square root at both sides:

√(x+4000)²  = √(19,000)² +(4,000)²

x+4000  =√361000000+16000000

x+4000 = √377000000

x+4000 = 19416.48

x= 19416.48 - 4000

x = 15416.48

Therefore the approximate distance is 15416 miles....

6 0
3 years ago
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