State whether segments of the given lengths can be side of a right angle triangle.
a=7, b=24, and C=25.
Show working to support your answer. *
2 Points

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

Answer:

BD = 8 in.

Step-by-step explanation:

Answer:

im leaning on parallelogram

Step-by-step explanation:

Parallelogram, Quadrilateral, and Rectangles

First off both of these images are parallelogram because the arrows show that both the rectangle and the square (diamond/whatever you want to call it) have pairs of parallel sides so we know that both these shapes are parallelograms

Secondly, these shapes are both quadrilaterals. A quadrilateral, by definition, is simply a four-sided figure. Both a rectangle and a square are four-sided figures so these are both quadrilaterals.

Lastly, these figures are both rectangles. Yes I know one is a square and one is a rectangle but a square is a special four sided figure that can classify as a rectangle. Every square is a rectangle but not every rectangle is a square. A rectangle by definition is a four sided polygon with two pairs of parallel sides, congruent sides, and four 90 degree interior angles.

Hope this helped :)

Answer:

-2.4

Step-by-step explanation:

Given data

We have the expression before us as

−4.5 + p6= −18.9

Collect like terms

p6= −18.9+4.5

p6= -14.4

Divide both sides by 6

p= -14.4/6

p=-2.4

Hence the value of p= -2.4

Answer:

That one answer you see below is wrong

Step-by-step explanation:

Thats it

Given:

The two vectors are:

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

To find:

The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].

Solution:

We have,

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

The cross product of these two vectors is:

[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]

Now the magnitude of the cross product is:

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]

Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].

Answer:

x = 4.5

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side, that is

5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )

x = 4.5

Answer:

for what question i dont see the quetsion

Step-by-step explanation:

Answer:

(10,54) and (11,59)

Step-by-step explanation:

those ordered pairs are the closest to one another.

Answer: Cindy

Step-by-step explanation:

42/3.5=12 minutes per mile

So Cindy ran faster at 11 minutes per mile

Answer:

Cindy was faster

Step-by-step explanation:

jasmine

42/3.5= 12 miles por hour

Answer:

£200

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of the ratio , then

4 parts = 4 × £50 = £200 ← amount Dave gets

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

Answer:

1512 cm^3

Step-by-step explanation:

the small ones dimentions are 9 by 3 by 7

if you double that then it is 18 by 6 by 14

to figure out the volume you have to multiply all the numbers together

and you get 1512 cm^3

Answer:

X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.

Answer:

22

Step-by-step explanation:

gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22

Answer:

x<=4, put the closed circle on "4" with the arrow going all the way left

Answer:

B) $143

Step-by-step explanation:

Answer:I'm guessing 9×6? 54?

Step-by-step explanation:

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.

here the slope of the graph is straight, that means velocity is uniform

the correct answer is option B. 10m

Answer:

3 hours

160 - 55 = 105

105 ÷ 35 = 3

Answer:

3 hours

Step-by-step explanation:

First, we must turn this into an equation:

35n + 55 = 160

N = number of hours

Next, solve:

35n + 55 - 55 = 160 - 55

35n = 105

n = 3

The plumber was there for 3 hours.

Answer:

201.53[tex]m^{2}[/tex]

Step-by-step explanation:

That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.

Let's first find the hexagonal base.

The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m

Solve that to find that the area of the hexagon is 93.53m^2.

Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.

6 * 6 = 36

36 / 2 = 18

Hence, the area of one triangle is 18m^2

However, there are six triangles - not just one!

6 * 18 = 108

Adding everything up:

93.53 + 108 = 201.53

The answer is 201.53m^2

Answer:

A polygon with one side could be a henagon or monogon

2 sides = digon or bigon

3. sides trigon or traingle ( equaliteral traingle , isosceles traingle Right traingle, acute traingle , obtuse traingle.

4 sides all the quadrilateral include square rectangle parallelogram, trapezium, rhombus , kite

5 sides = pentagon

6= hexagon

7 heptagon

8 octagon

9 nonagon

10 decagon

Answer:

Step-by-step explanation:

1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept

Answer:

[tex]x\approx 7.0[/tex]

Step-by-step explanation:

Since we are given a right triangle, we can use right trigonometric ratios.

x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:

[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]

Solve for x:

[tex]x=10\tan(35^\circ)[/tex]

Use a calculator:

[tex]x=7.0020...\approx 7.0[/tex]

x=7 yards

Answer:

Solution Given:

Opposite = x

base=10yards

and angle is 35°

we know that

relationship between opposite and base is given by Tan angle

so

Tan 35°= opposite/base

Tan 35°*10=x

x= 7.002

x≈7 yards

Answer:

9^28

Step-by-step explanation:

It's 9^ 28

remember when we are raising exponents to a power we are multiplying the exponent

Answer:

B

Step-by-step explanation:

When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28

Answer:

for what subject?

geometry

trig

algebra

Answer:

I think it's 3 but maybe ask your teacher to check :o

Step-by-step explanation:

Answer:

x=9.43mm

Step-by-step explanation:

H= A/C

H=9.15/cos(14)=9.43mm

Answer:

9.43

Step-by-step explanation:

If x = 2.28

pythagoras theory that a^2 + b^2 = c^2

so 9.15^2 + 2.28^2 = 88.920

[tex]\sqrt88.920[/tex]=9.429

Answer:

32

Step-by-step explanation:

I am pretty sure the answer is 32

Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D