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allochka39001 [22]
3 years ago
8

Given that

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

X=-2

Step-by-step explanation:

3x-4(-7)=22     4*-7=-28

3x+28=22 subtract 28 from both sides then you get

3x=-6 divide 3 and -6   then you get

x=-2

<u>HOPE THIS HELPS:))</u>

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Can someone help me with these problems please! Im so confused
Schach [20]

Step-by-step explanation:

why are you confused ?

the question is to get the area of the shaded (= grey) areas.

all the shapes are clearly combined shapes out of several basic shapes, and in some cases we need to add then, and in some we need to subtract them from each other (to eliminate any white content).

that is really all that needs to be done.

of course, it is important to notice the different metrics used for the lengths, which define the metrics to be used for the areas.

a.

a rectangle and 2 half-circles on the sides (they are together one full circle).

radius is always 1/2 of the diameter of a circle.

and the width of the rectangle is exactly the diameter (= 2×radius) of the circle(s).

grey area :

rectangle : 20×(6×2) = 20×12 = 240 m²

circle : pi×r² = pi×6² = pi×36 = 113.0973355... m²

in total :

240 + 113.0973355... = 353.0973355... m²

b.

a trapezoid minus a circle.

the area of a trapezoid is

(a+b)×h/2

and h (height) is again the diameter of the circle (2×radius).

grey area :

trapezoid : (9 + 15)(4×2)/2 = 24 × 4 = 96 ft²

circle : pi×r² = pi×4² = pi×16 = 50.26548246... ft²

in total :

96 - 50.26548246... = 46.26548246... ft²

c.

3 rectangles.

rectangle1 - rectangle2 + rectangle3.

grey area :

rectangle1 : 14×10 = 140 m²

rectangle2 : 10×6 = 60 m²

rectangle3 : 6×2 = 12 m²

in total :

140 - 60 + 12 = 92 m²

d.

a circle minus a square.

the only specialty here is the diameter and radius of the circle : the diagonal of the inner square.

we get the diagonal of the inner square via Pythagoras, because the diagonal makes 2 right-angled triangles out of the square.

diagonal² = 4² + 4² = 16+16 = 32

diagonal = sqrt(32)

radius = diagonal/2 = sqrt(32)/2 = sqrt(32/4) = sqrt(8)

grey area :

square : 4×4 = 16 cm²

circle : pi×r² = pi×(sqrt(8))² = pi×8 = 25.13274123... cm²

in total :

25.13274123... - 16 = 9.132741229... cm²

is there still anything unclear ?

please let me know.

but as you can see there is no need to panic. just use basic math and common sense.

8 0
2 years ago
Last night, Roberto spent 90 minutes doing homework, infinity symbol hour reading, and 540 seconds making his lunch for the next
Margarita [4]

Answer:

41 minutes

Step-by-step explanation:

We are given;

Time spent on homework = 90 minutes

Time spent reading = 2/3 hours = 2/3 × 60 minutes = 40 minutes

Time spent making lunch = 540 seconds = 540/60 minutes = 9 minutes

We want to find how many more minutes Roberto spent doing homework than he did reading and making his lunch.

Thus;

Time spent on reading and making lunch = 40 + 9 = 49 minutes

Hence, the word "how many more" means we will subtract 49 from 90.

So, "how many more minutes" = 90 - 49 = 41 minutes

Step-by-step explanation:

6 0
2 years ago
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*cassually dances to “Savage Love” by Jason Durulo cause I’m ALMOST DONE!*
Montano1993 [528]

Answer:

savage love

Step-by-step explanation:

7 0
2 years ago
Which value for x makes the following number sentence true? 12x = 6x + 24
denis23 [38]
To solve this, first subtract 6x from both sides.

That is because there cannot be the same variable on both sides of the equation. The new equation would be:

6x=24

Now divide by both sides of the equation by 6

x=4

Hope this helped! Tell me if you have any more questions!
5 0
3 years ago
A zookeeper predicted that the weight of a newborn lion would be 2.8 pounds. When the zoo’s lion gave birth, the newborn weighed
Nonamiya [84]

3.5 - 2.8 is 0.7 so the zookeerper was 0.7 pounds off

5 0
3 years ago
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