MATHEMATICS MIDDLE SCHOOL

Yoyoyoyooyyoyoyoyyyoy I need help plz someone

Answers

Answer 1

Answer:

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

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A submarine is diving to a total depth of 45 feet. It descends 15% of the total depth in 1 minute. How deep will the submarine be after 4 minutes?

Answers

15% of 45 is 0.15 x 45 or 6.75 feet. That's how far the submarine descended in 1 minute. So, in 4 minutes the submarine would be 4 x 6.75 feet down which is 27 feet.

Answer:

-27

Step-by-step explanation:

Gerard’s baby brother spends 7/8 of his day sleeping. How many hours does his baby brother sleep? i

Answers

$(7)/(8) * 24 = 21 \n$

You multiply 7/8 to the number of hours in a day which 24

If Dave drives at a steady speed of 50 miles per hour, how long will it take him to drive 10 miles? A: 12 minutes
B: 10 minutes
C: 15 minutes
D: 30 minutes

Answers

$\begin{array}{ccc}50miles&-&1h=60min\n\n10miles&-&t\end{array}\n\n\n\nt=(10\cdot60)/(50)=12\ (min)\n\nAnswer:A$

What is the relationship between Za and Zb?

Answers

Answer:

they are supplementary to each other

Step-by-step explanation:

they are supplementary

A cookie recipe for 60 cookies calls for 4 cups of flour.how much flour is needed to make 90 cookies

Answers

yo will need seven cups of flour to make 90 cookies

Final answer:

To make 90 cookies, we would need 6 cups of flour.

Explanation:

The question at hand is a ratio problem.

We know that 60 cookies require 4 cups of flour. This means that for each cookie, we need 4/60 or 1/15 cup of flour.

To find out how much flour we need for 90 cookies, we simply multiply the amount of flour per cookie (1/15) by the number of cookies we want to bake, which is 90. So, 1/15 * 90 = 6. Thus, we would need 6 cups of flour to make 90 cookies.

Learn more about ratio problems here:

brainly.com/question/28368900

#SPJ12

A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are turned on at the same time, how long will it take to fill the pool?

Answers

It will take 12 hours:

1/30 + 1/20 = 1/x

.083333333=1/x

x=1/.08333333

x=12 minutes

it will take 12 minutes for both hioses to fill the pool